scirs2-ndimage 0.4.2

N-dimensional image processing module for SciRS2 (scirs2-ndimage)
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
//! Advanced watershed segmentation algorithms
//!
//! This module provides enhanced watershed segmentation beyond the basic Meyer's flooding
//! algorithm found in `segmentation::watershed`. Features include:
//!
//! - **Compact watershed**: Regularized watershed that penalizes irregular region shapes
//! - **Oversegmentation control**: Merging of small regions and h-minima suppression
//! - **Dam (boundary) pixel labeling**: Explicit watershed ridge line extraction
//! - **Multi-scale watershed**: Hierarchical watershed with merge tree
//!
//! # References
//!
//! - Meyer, F. (1994). "Topographic distance and watershed lines"
//! - Neubert, P. & Protzel, P. (2014). "Compact Watershed and Preemptive SLIC"
//! - Beucher, S. & Meyer, F. (1993). "The morphological approach to segmentation"

use crate::error::{NdimageError, NdimageResult};
use scirs2_core::ndarray::Array2;
use scirs2_core::numeric::{Float, NumAssign};
use std::cmp::Ordering;
use std::collections::{BinaryHeap, HashMap};

// ---------------------------------------------------------------------------
// Configuration types
// ---------------------------------------------------------------------------

/// Connectivity mode for watershed neighbor traversal
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum WatershedNeighborhood {
    /// 4-connectivity (face-adjacent only)
    Conn4,
    /// 8-connectivity (face + diagonal)
    Conn8,
}

impl Default for WatershedNeighborhood {
    fn default() -> Self {
        WatershedNeighborhood::Conn8
    }
}

/// Configuration for compact (regularized) watershed
#[derive(Debug, Clone)]
pub struct CompactWatershedConfig {
    /// Neighborhood connectivity
    pub connectivity: WatershedNeighborhood,
    /// Compactness weight (0 = standard watershed, higher = more compact regions)
    /// Typical range: 0.0 to 1.0
    pub compactness: f64,
    /// Whether to produce watershed ridge lines (dam pixels labeled as 0)
    pub watershed_line: bool,
}

impl Default for CompactWatershedConfig {
    fn default() -> Self {
        CompactWatershedConfig {
            connectivity: WatershedNeighborhood::Conn8,
            compactness: 0.0,
            watershed_line: false,
        }
    }
}

/// Configuration for oversegmentation control
#[derive(Debug, Clone)]
pub struct OversegmentationConfig {
    /// Minimum region area in pixels; regions smaller than this are merged
    pub min_region_area: usize,
    /// H-minima threshold: suppress minima shallower than this value
    /// before computing markers (set to 0.0 to disable)
    pub h_minima: f64,
    /// Maximum number of output regions (0 = unlimited)
    pub max_regions: usize,
    /// Neighborhood connectivity
    pub connectivity: WatershedNeighborhood,
}

impl Default for OversegmentationConfig {
    fn default() -> Self {
        OversegmentationConfig {
            min_region_area: 1,
            h_minima: 0.0,
            max_regions: 0,
            connectivity: WatershedNeighborhood::Conn8,
        }
    }
}

/// Result of dam (boundary) extraction
#[derive(Debug, Clone)]
pub struct DamResult {
    /// Labeled image where dam pixels have label 0
    pub labels: Array2<i32>,
    /// Binary mask of dam (boundary) pixels
    pub dam_mask: Array2<bool>,
    /// Number of distinct regions (excluding dams)
    pub num_regions: usize,
}

// ---------------------------------------------------------------------------
// Internal helpers
// ---------------------------------------------------------------------------

/// Sentinel: watershed ridge line (dam pixel)
const WSHED: i32 = -1;
/// Sentinel: pixel queued but not yet assigned
const IN_QUEUE: i32 = -2;

fn neighbor_offsets(conn: WatershedNeighborhood) -> &'static [(isize, isize)] {
    match conn {
        WatershedNeighborhood::Conn4 => &[(-1, 0), (0, -1), (0, 1), (1, 0)],
        WatershedNeighborhood::Conn8 => &[
            (-1, -1),
            (-1, 0),
            (-1, 1),
            (0, -1),
            (0, 1),
            (1, -1),
            (1, 0),
            (1, 1),
        ],
    }
}

#[inline]
fn in_bounds(r: isize, c: isize, rows: usize, cols: usize) -> bool {
    r >= 0 && r < rows as isize && c >= 0 && c < cols as isize
}

/// Priority-queue entry for compact watershed
#[derive(Clone, Debug)]
struct CompactEntry {
    row: usize,
    col: usize,
    /// Image intensity (primary sort key)
    intensity: f64,
    /// Spatial distance penalty from nearest marker seed (secondary for compactness)
    distance: f64,
    /// Combined priority = intensity + compactness * distance
    priority: f64,
    /// Insertion order for tie-breaking
    order: u64,
}

impl PartialEq for CompactEntry {
    fn eq(&self, other: &Self) -> bool {
        self.row == other.row && self.col == other.col
    }
}
impl Eq for CompactEntry {}

impl PartialOrd for CompactEntry {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

impl Ord for CompactEntry {
    fn cmp(&self, other: &Self) -> Ordering {
        // Min-heap: reverse ordering so BinaryHeap pops smallest priority first
        match other
            .priority
            .partial_cmp(&self.priority)
            .unwrap_or(Ordering::Equal)
        {
            Ordering::Equal => other.order.cmp(&self.order),
            ord => ord,
        }
    }
}

// ---------------------------------------------------------------------------
// Public API
// ---------------------------------------------------------------------------

/// Compact (regularized) watershed segmentation
///
/// Extends Meyer's flooding algorithm with a compactness penalty that encourages
/// spatially compact regions. When `compactness > 0`, pixels are assigned to the
/// marker whose combined cost (image intensity + compactness * geodesic distance)
/// is lowest, producing more regular region shapes.
///
/// # Arguments
///
/// * `image`   - Intensity / gradient image (2D)
/// * `markers` - Seed labels (positive integers for seeds, 0 for unlabeled pixels)
/// * `config`  - Compact watershed configuration
///
/// # Returns
///
/// Labeled 2D array where each pixel is assigned its closest marker label.
/// If `watershed_line` is enabled, ridge pixels are labeled 0.
///
/// # Example
///
/// ```
/// use scirs2_core::ndarray::array;
/// use scirs2_ndimage::watershed::{compact_watershed, CompactWatershedConfig};
///
/// let image = array![
///     [0.1, 0.2, 0.9, 0.2, 0.1],
///     [0.1, 0.1, 0.9, 0.1, 0.1],
///     [0.1, 0.2, 0.9, 0.2, 0.1],
/// ];
/// let markers = array![
///     [0, 0, 0, 0, 0],
///     [1, 0, 0, 0, 2],
///     [0, 0, 0, 0, 0],
/// ];
///
/// let config = CompactWatershedConfig {
///     compactness: 0.5,
///     ..Default::default()
/// };
///
/// let result = compact_watershed(&image, &markers, &config).expect("should succeed");
/// assert_eq!(result[[1, 0]], 1);
/// assert_eq!(result[[1, 4]], 2);
/// ```
pub fn compact_watershed<T>(
    image: &Array2<T>,
    markers: &Array2<i32>,
    config: &CompactWatershedConfig,
) -> NdimageResult<Array2<i32>>
where
    T: Float + NumAssign + std::fmt::Debug + 'static,
{
    if image.shape() != markers.shape() {
        return Err(NdimageError::DimensionError(
            "Image and markers must have the same shape".to_string(),
        ));
    }

    let rows = image.nrows();
    let cols = image.ncols();

    if rows == 0 || cols == 0 {
        return Ok(markers.clone());
    }

    let offsets = neighbor_offsets(config.connectivity);
    let compact = config.compactness;

    // Output labels (initialized from markers)
    let mut output = markers.clone();

    // Distance from each pixel to its seed (for compactness penalty)
    let mut dist = Array2::<f64>::from_elem((rows, cols), f64::INFINITY);

    // Seed centroids (label -> (row, col)) for spatial distance computation
    let mut seed_centers: HashMap<i32, (f64, f64)> = HashMap::new();
    let mut seed_counts: HashMap<i32, usize> = HashMap::new();

    for r in 0..rows {
        for c in 0..cols {
            let lbl = markers[[r, c]];
            if lbl > 0 {
                let entry = seed_centers.entry(lbl).or_insert((0.0, 0.0));
                entry.0 += r as f64;
                entry.1 += c as f64;
                *seed_counts.entry(lbl).or_insert(0) += 1;
            }
        }
    }

    for (lbl, center) in seed_centers.iter_mut() {
        let cnt = *seed_counts.get(lbl).unwrap_or(&1) as f64;
        center.0 /= cnt;
        center.1 /= cnt;
    }

    // Initialize priority queue from marker boundary pixels
    let mut queue = BinaryHeap::new();
    let mut insertion_order: u64 = 0;

    for r in 0..rows {
        for c in 0..cols {
            let lbl = markers[[r, c]];
            if lbl > 0 {
                dist[[r, c]] = 0.0;

                for &(dr, dc) in offsets {
                    let nr = r as isize + dr;
                    let nc = c as isize + dc;
                    if in_bounds(nr, nc, rows, cols) {
                        let nr = nr as usize;
                        let nc = nc as usize;
                        if output[[nr, nc]] == 0 {
                            output[[nr, nc]] = IN_QUEUE;
                            let intensity = image[[nr, nc]].to_f64().unwrap_or(f64::INFINITY);
                            let spatial_dist = if let Some(&center) = seed_centers.get(&lbl) {
                                ((nr as f64 - center.0).powi(2) + (nc as f64 - center.1).powi(2))
                                    .sqrt()
                            } else {
                                0.0
                            };
                            let priority = intensity + compact * spatial_dist;

                            queue.push(CompactEntry {
                                row: nr,
                                col: nc,
                                intensity,
                                distance: spatial_dist,
                                priority,
                                order: insertion_order,
                            });
                            insertion_order += 1;
                        }
                    }
                }
            }
        }
    }

    // Flooding loop
    while let Some(entry) = queue.pop() {
        let r = entry.row;
        let c = entry.col;

        // Collect neighbor labels
        let mut neighbor_labels: HashMap<i32, (usize, f64)> = HashMap::new(); // label -> (count, min_dist)
        let mut _has_wshed_neighbor = false;

        for &(dr, dc) in offsets {
            let nr = r as isize + dr;
            let nc = c as isize + dc;
            if in_bounds(nr, nc, rows, cols) {
                let nr = nr as usize;
                let nc = nc as usize;
                let nlbl = output[[nr, nc]];
                if nlbl > 0 {
                    let nd = dist[[nr, nc]];
                    let e = neighbor_labels.entry(nlbl).or_insert((0, f64::INFINITY));
                    e.0 += 1;
                    if nd < e.1 {
                        e.1 = nd;
                    }
                } else if nlbl == WSHED && config.watershed_line {
                    _has_wshed_neighbor = true;
                }
            }
        }

        if neighbor_labels.is_empty() {
            output[[r, c]] = 0;
            continue;
        }

        let distinct: Vec<i32> = neighbor_labels.keys().copied().collect();

        let assigned_label;
        if config.watershed_line && distinct.len() > 1 {
            // Multiple labels meeting: this is a dam pixel
            output[[r, c]] = WSHED;
            assigned_label = WSHED;
        } else {
            // Choose the best label considering compactness
            let best_label = if compact > 0.0 {
                // Pick label with lowest combined cost
                let mut best = distinct[0];
                let mut best_cost = f64::INFINITY;
                for &lbl in &distinct {
                    let spatial = if let Some(&center) = seed_centers.get(&lbl) {
                        ((r as f64 - center.0).powi(2) + (c as f64 - center.1).powi(2)).sqrt()
                    } else {
                        0.0
                    };
                    let cost = entry.intensity + compact * spatial;
                    if cost < best_cost {
                        best_cost = cost;
                        best = lbl;
                    }
                }
                best
            } else {
                // Standard: most frequent neighbor label
                neighbor_labels
                    .iter()
                    .max_by_key(|&(_, (count, _))| count)
                    .map(|(&lbl, _)| lbl)
                    .unwrap_or(0)
            };

            if best_label > 0 {
                output[[r, c]] = best_label;
                assigned_label = best_label;
                // Update distance
                let spatial = if let Some(&center) = seed_centers.get(&best_label) {
                    ((r as f64 - center.0).powi(2) + (c as f64 - center.1).powi(2)).sqrt()
                } else {
                    0.0
                };
                dist[[r, c]] = spatial;
            } else {
                output[[r, c]] = 0;
                continue;
            }
        }

        // Enqueue unlabeled neighbors (both for labeled and dam pixels)
        for &(dr, dc) in offsets {
            let nr = r as isize + dr;
            let nc = c as isize + dc;
            if in_bounds(nr, nc, rows, cols) {
                let nr = nr as usize;
                let nc = nc as usize;
                if output[[nr, nc]] == 0 {
                    output[[nr, nc]] = IN_QUEUE;
                    let intensity = image[[nr, nc]].to_f64().unwrap_or(f64::INFINITY);
                    let spatial_dist = if assigned_label > 0 {
                        if let Some(&center) = seed_centers.get(&assigned_label) {
                            ((nr as f64 - center.0).powi(2) + (nc as f64 - center.1).powi(2)).sqrt()
                        } else {
                            0.0
                        }
                    } else {
                        0.0
                    };
                    let priority = intensity + compact * spatial_dist;

                    queue.push(CompactEntry {
                        row: nr,
                        col: nc,
                        intensity,
                        distance: spatial_dist,
                        priority,
                        order: insertion_order,
                    });
                    insertion_order += 1;
                }
            }
        }
    }

    // Clean up IN_QUEUE sentinels
    for val in output.iter_mut() {
        if *val == IN_QUEUE {
            *val = 0;
        }
    }

    Ok(output)
}

/// Extract dam (boundary) pixels from a watershed segmentation
///
/// Given a labeled image (e.g., from watershed), identifies pixels that lie on
/// region boundaries (where at least two different positive labels meet).
///
/// # Arguments
///
/// * `labels`       - Labeled image from watershed segmentation
/// * `connectivity` - Neighborhood connectivity for boundary detection
///
/// # Returns
///
/// A `DamResult` containing the relabeled image, binary dam mask, and region count.
///
/// # Example
///
/// ```
/// use scirs2_core::ndarray::array;
/// use scirs2_ndimage::watershed::{extract_dams, WatershedNeighborhood};
///
/// let labels = array![
///     [1, 1, 2, 2],
///     [1, 1, 2, 2],
///     [3, 3, 4, 4],
///     [3, 3, 4, 4],
/// ];
///
/// let result = extract_dams(&labels, WatershedNeighborhood::Conn4)
///     .expect("should succeed");
/// assert!(result.dam_mask[[0, 1]] || result.dam_mask[[1, 0]] || result.num_regions >= 2);
/// ```
pub fn extract_dams(
    labels: &Array2<i32>,
    connectivity: WatershedNeighborhood,
) -> NdimageResult<DamResult> {
    let rows = labels.nrows();
    let cols = labels.ncols();

    if rows == 0 || cols == 0 {
        return Ok(DamResult {
            labels: labels.clone(),
            dam_mask: Array2::from_elem((rows, cols), false),
            num_regions: 0,
        });
    }

    let offsets = neighbor_offsets(connectivity);
    let mut dam_mask = Array2::from_elem((rows, cols), false);
    let mut out = labels.clone();
    let mut unique_labels = std::collections::HashSet::new();

    for r in 0..rows {
        for c in 0..cols {
            let lbl = labels[[r, c]];
            if lbl <= 0 {
                continue;
            }
            unique_labels.insert(lbl);

            let mut is_dam = false;
            for &(dr, dc) in offsets {
                let nr = r as isize + dr;
                let nc = c as isize + dc;
                if in_bounds(nr, nc, rows, cols) {
                    let nlbl = labels[[nr as usize, nc as usize]];
                    if nlbl > 0 && nlbl != lbl {
                        is_dam = true;
                        break;
                    }
                }
            }

            if is_dam {
                dam_mask[[r, c]] = true;
                out[[r, c]] = WSHED;
            }
        }
    }

    Ok(DamResult {
        labels: out,
        dam_mask,
        num_regions: unique_labels.len(),
    })
}

/// Control oversegmentation by merging small regions
///
/// Performs hierarchical region merging on a watershed segmentation result,
/// merging regions whose area is below `config.min_region_area` into their
/// most similar neighbor.
///
/// # Arguments
///
/// * `image`  - Original intensity / gradient image
/// * `labels` - Labeled image from watershed
/// * `config` - Oversegmentation control parameters
///
/// # Returns
///
/// Relabeled image with small regions merged.
///
/// # Example
///
/// ```
/// use scirs2_core::ndarray::array;
/// use scirs2_ndimage::watershed::{merge_small_regions, OversegmentationConfig};
///
/// let image = array![
///     [0.1, 0.1, 0.9, 0.9],
///     [0.1, 0.1, 0.9, 0.9],
///     [0.1, 0.1, 0.9, 0.9],
///     [0.1, 0.1, 0.9, 0.9],
/// ];
///
/// let labels = array![
///     [1, 1, 2, 2],
///     [1, 3, 2, 2],
///     [1, 1, 2, 2],
///     [1, 1, 2, 2],
/// ];
///
/// let config = OversegmentationConfig {
///     min_region_area: 3,
///     ..Default::default()
/// };
///
/// let merged = merge_small_regions(&image, &labels, &config).expect("should succeed");
/// // Region 3 (area 1) should be merged into region 1
/// assert!(merged[[1, 1]] != 3);
/// ```
pub fn merge_small_regions<T>(
    image: &Array2<T>,
    labels: &Array2<i32>,
    config: &OversegmentationConfig,
) -> NdimageResult<Array2<i32>>
where
    T: Float + NumAssign + std::fmt::Debug + 'static,
{
    if image.shape() != labels.shape() {
        return Err(NdimageError::DimensionError(
            "Image and labels must have the same shape".to_string(),
        ));
    }

    let rows = image.nrows();
    let cols = image.ncols();

    if rows == 0 || cols == 0 {
        return Ok(labels.clone());
    }

    // Compute region statistics: area, mean intensity, adjacency
    let mut region_area: HashMap<i32, usize> = HashMap::new();
    let mut region_sum: HashMap<i32, f64> = HashMap::new();

    for r in 0..rows {
        for c in 0..cols {
            let lbl = labels[[r, c]];
            if lbl <= 0 {
                continue;
            }
            *region_area.entry(lbl).or_insert(0) += 1;
            let val = image[[r, c]].to_f64().unwrap_or(0.0);
            *region_sum.entry(lbl).or_insert(0.0) += val;
        }
    }

    // Build adjacency: for each region, find neighboring region labels
    let offsets = neighbor_offsets(config.connectivity);
    let mut adjacency: HashMap<i32, HashMap<i32, usize>> = HashMap::new(); // region -> {neighbor -> boundary_length}

    for r in 0..rows {
        for c in 0..cols {
            let lbl = labels[[r, c]];
            if lbl <= 0 {
                continue;
            }
            for &(dr, dc) in offsets {
                let nr = r as isize + dr;
                let nc = c as isize + dc;
                if in_bounds(nr, nc, rows, cols) {
                    let nlbl = labels[[nr as usize, nc as usize]];
                    if nlbl > 0 && nlbl != lbl {
                        *adjacency.entry(lbl).or_default().entry(nlbl).or_insert(0) += 1;
                    }
                }
            }
        }
    }

    // Create merge mapping
    let mut merge_map: HashMap<i32, i32> = HashMap::new();

    // Sort regions by area (smallest first) to merge greedily
    let mut regions_by_area: Vec<(i32, usize)> =
        region_area.iter().map(|(&k, &v)| (k, v)).collect();
    regions_by_area.sort_by_key(|&(_, area)| area);

    for &(lbl, area) in &regions_by_area {
        if area >= config.min_region_area {
            continue; // large enough, skip
        }

        // Find the best neighbor to merge into (most similar mean intensity)
        let my_mean = region_sum.get(&lbl).copied().unwrap_or(0.0) / (area.max(1) as f64);

        let best_neighbor = if let Some(neighbors) = adjacency.get(&lbl) {
            let mut best: Option<(i32, f64)> = None;
            for (&nlbl, _) in neighbors {
                // Follow merge chain
                let mut final_lbl = nlbl;
                while let Some(&merged_to) = merge_map.get(&final_lbl) {
                    if merged_to == final_lbl {
                        break;
                    }
                    final_lbl = merged_to;
                }

                if final_lbl == lbl {
                    continue; // don't merge into self
                }

                let n_area = region_area.get(&final_lbl).copied().unwrap_or(1);
                let n_mean =
                    region_sum.get(&final_lbl).copied().unwrap_or(0.0) / (n_area.max(1) as f64);
                let diff = (my_mean - n_mean).abs();

                match best {
                    None => best = Some((final_lbl, diff)),
                    Some((_, best_diff)) if diff < best_diff => {
                        best = Some((final_lbl, diff));
                    }
                    _ => {}
                }
            }
            best.map(|(lbl, _)| lbl)
        } else {
            None
        };

        if let Some(target) = best_neighbor {
            merge_map.insert(lbl, target);
            // Update target statistics
            let my_sum = region_sum.get(&lbl).copied().unwrap_or(0.0);
            *region_sum.entry(target).or_insert(0.0) += my_sum;
            *region_area.entry(target).or_insert(0) += area;
        }
    }

    // Resolve transitive merges
    let all_labels: Vec<i32> = merge_map.keys().copied().collect();
    for lbl in all_labels {
        let mut target = lbl;
        let mut visited = std::collections::HashSet::new();
        while let Some(&next) = merge_map.get(&target) {
            if next == target || visited.contains(&next) {
                break;
            }
            visited.insert(target);
            target = next;
        }
        merge_map.insert(lbl, target);
    }

    // Apply merge mapping
    let mut output = labels.clone();
    for r in 0..rows {
        for c in 0..cols {
            let lbl = output[[r, c]];
            if lbl > 0 {
                if let Some(&target) = merge_map.get(&lbl) {
                    output[[r, c]] = target;
                }
            }
        }
    }

    // If max_regions is set, keep merging until we're under the limit
    if config.max_regions > 0 {
        let mut unique: std::collections::HashSet<i32> = std::collections::HashSet::new();
        for &v in output.iter() {
            if v > 0 {
                unique.insert(v);
            }
        }

        if unique.len() > config.max_regions {
            // Recompute and merge smallest regions until under limit
            let mut remaining = unique.len();
            while remaining > config.max_regions {
                // Recount areas
                let mut areas: HashMap<i32, usize> = HashMap::new();
                for &v in output.iter() {
                    if v > 0 {
                        *areas.entry(v).or_insert(0) += 1;
                    }
                }

                // Find smallest region
                let smallest = areas
                    .iter()
                    .min_by_key(|&(_, &area)| area)
                    .map(|(&lbl, _)| lbl);

                if let Some(small_lbl) = smallest {
                    // Find best neighbor
                    let mut neighbor_boundary: HashMap<i32, usize> = HashMap::new();
                    for r in 0..rows {
                        for c in 0..cols {
                            if output[[r, c]] != small_lbl {
                                continue;
                            }
                            for &(dr, dc) in offsets {
                                let nr = r as isize + dr;
                                let nc = c as isize + dc;
                                if in_bounds(nr, nc, rows, cols) {
                                    let nlbl = output[[nr as usize, nc as usize]];
                                    if nlbl > 0 && nlbl != small_lbl {
                                        *neighbor_boundary.entry(nlbl).or_insert(0) += 1;
                                    }
                                }
                            }
                        }
                    }

                    // Merge into the neighbor with the longest shared boundary
                    let best = neighbor_boundary
                        .iter()
                        .max_by_key(|&(_, &count)| count)
                        .map(|(&lbl, _)| lbl);

                    if let Some(target) = best {
                        for val in output.iter_mut() {
                            if *val == small_lbl {
                                *val = target;
                            }
                        }
                        remaining -= 1;
                    } else {
                        break; // no neighbors, can't merge further
                    }
                } else {
                    break;
                }
            }
        }
    }

    Ok(output)
}

/// H-minima transform: suppress all minima whose depth is less than `h`
///
/// This is a morphological operation that raises all minima of depth < h,
/// useful for reducing oversegmentation in watershed by eliminating
/// shallow catchment basins.
///
/// # Arguments
///
/// * `image` - Input intensity image (2D)
/// * `h`     - Height threshold; minima shallower than this are suppressed
///
/// # Returns
///
/// Filtered image with shallow minima suppressed.
///
/// # Example
///
/// ```
/// use scirs2_core::ndarray::array;
/// use scirs2_ndimage::watershed::h_minima_transform;
///
/// let image = array![
///     [5.0, 5.0, 5.0],
///     [5.0, 3.0, 5.0],  // shallow minimum at (1,1)
///     [5.0, 5.0, 5.0],
/// ];
///
/// let result = h_minima_transform(&image, 3.0).expect("should succeed");
/// // The minimum at (1,1) has depth 2 (5-3), which is less than h=3, so it should be suppressed
/// assert!(result[[1, 1]] >= 5.0 - 3.0);
/// ```
pub fn h_minima_transform<T>(image: &Array2<T>, h: f64) -> NdimageResult<Array2<f64>>
where
    T: Float + NumAssign + std::fmt::Debug + 'static,
{
    if h < 0.0 {
        return Err(NdimageError::InvalidInput(
            "h must be non-negative".to_string(),
        ));
    }

    let rows = image.nrows();
    let cols = image.ncols();

    if rows == 0 || cols == 0 {
        return Ok(Array2::zeros((rows, cols)));
    }

    // Convert to f64
    let img_f64: Array2<f64> = image.mapv(|x| x.to_f64().unwrap_or(0.0));

    // Marker: f - h (clamped from below)
    let marker: Array2<f64> = img_f64.mapv(|x| x - h);

    // Morphological reconstruction by dilation of marker under mask (original image)
    // The result fills all minima shallower than h
    let result = morphological_reconstruction_by_dilation_2d(&marker, &img_f64, 200)?;

    Ok(result)
}

/// Morphological reconstruction by erosion (2D, geodesic erosion)
///
/// Iteratively erodes the marker image while keeping it above the mask image,
/// until convergence. Used by h-maxima transform and other morphological operations.
#[allow(dead_code)]
fn morphological_reconstruction_by_erosion_2d(
    marker: &Array2<f64>,
    mask: &Array2<f64>,
    max_iterations: usize,
) -> NdimageResult<Array2<f64>> {
    let rows = marker.nrows();
    let cols = marker.ncols();

    let mut result = marker.clone();

    // Use raster/anti-raster scanning for efficiency
    for _iter in 0..max_iterations {
        let mut changed = false;

        // Forward scan (top-left to bottom-right)
        for r in 0..rows {
            for c in 0..cols {
                let mut val = result[[r, c]];
                // Check neighbors that have already been processed
                if r > 0 && result[[r - 1, c]] < val {
                    val = result[[r - 1, c]];
                }
                if c > 0 && result[[r, c - 1]] < val {
                    val = result[[r, c - 1]];
                }
                // Ensure we don't go below the mask
                let mask_val = mask[[r, c]];
                if val < mask_val {
                    val = mask_val;
                }
                if (val - result[[r, c]]).abs() > 1e-15 {
                    result[[r, c]] = val;
                    changed = true;
                }
            }
        }

        // Backward scan (bottom-right to top-left)
        for r in (0..rows).rev() {
            for c in (0..cols).rev() {
                let mut val = result[[r, c]];
                if r + 1 < rows && result[[r + 1, c]] < val {
                    val = result[[r + 1, c]];
                }
                if c + 1 < cols && result[[r, c + 1]] < val {
                    val = result[[r, c + 1]];
                }
                let mask_val = mask[[r, c]];
                if val < mask_val {
                    val = mask_val;
                }
                if (val - result[[r, c]]).abs() > 1e-15 {
                    result[[r, c]] = val;
                    changed = true;
                }
            }
        }

        if !changed {
            break;
        }
    }

    Ok(result)
}

/// Morphological reconstruction by dilation (2D, geodesic dilation)
///
/// Iteratively dilates the marker image while keeping it below the mask image,
/// until convergence. This is the dual of reconstruction by erosion.
///
/// Given marker <= mask pointwise, the result is the largest image R such that:
/// - marker <= R <= mask (pointwise)
/// - R is "connected from below" by the marker
fn morphological_reconstruction_by_dilation_2d(
    marker: &Array2<f64>,
    mask: &Array2<f64>,
    max_iterations: usize,
) -> NdimageResult<Array2<f64>> {
    let rows = marker.nrows();
    let cols = marker.ncols();

    // Clamp marker to be at most mask everywhere
    let mut result = Array2::zeros((rows, cols));
    for r in 0..rows {
        for c in 0..cols {
            result[[r, c]] = marker[[r, c]].min(mask[[r, c]]);
        }
    }

    // Use raster/anti-raster scanning for efficiency (Vincent 1993)
    for _iter in 0..max_iterations {
        let mut changed = false;

        // Forward scan (top-left to bottom-right)
        for r in 0..rows {
            for c in 0..cols {
                let mut val = result[[r, c]];
                // Check neighbors that have already been processed (above and left)
                if r > 0 && result[[r - 1, c]] > val {
                    val = result[[r - 1, c]];
                }
                if c > 0 && result[[r, c - 1]] > val {
                    val = result[[r, c - 1]];
                }
                // Also check diagonal neighbors for 8-connectivity
                if r > 0 && c > 0 && result[[r - 1, c - 1]] > val {
                    val = result[[r - 1, c - 1]];
                }
                if r > 0 && c + 1 < cols && result[[r - 1, c + 1]] > val {
                    val = result[[r - 1, c + 1]];
                }
                // Ensure we don't exceed the mask
                let mask_val = mask[[r, c]];
                if val > mask_val {
                    val = mask_val;
                }
                if (val - result[[r, c]]).abs() > 1e-15 {
                    result[[r, c]] = val;
                    changed = true;
                }
            }
        }

        // Backward scan (bottom-right to top-left)
        for r in (0..rows).rev() {
            for c in (0..cols).rev() {
                let mut val = result[[r, c]];
                if r + 1 < rows && result[[r + 1, c]] > val {
                    val = result[[r + 1, c]];
                }
                if c + 1 < cols && result[[r, c + 1]] > val {
                    val = result[[r, c + 1]];
                }
                // Diagonal neighbors
                if r + 1 < rows && c + 1 < cols && result[[r + 1, c + 1]] > val {
                    val = result[[r + 1, c + 1]];
                }
                if r + 1 < rows && c > 0 && result[[r + 1, c - 1]] > val {
                    val = result[[r + 1, c - 1]];
                }
                let mask_val = mask[[r, c]];
                if val > mask_val {
                    val = mask_val;
                }
                if (val - result[[r, c]]).abs() > 1e-15 {
                    result[[r, c]] = val;
                    changed = true;
                }
            }
        }

        if !changed {
            break;
        }
    }

    Ok(result)
}

/// Generate automatic markers from local minima of the image
///
/// Detects local minima (pixels lower than all their neighbors) and assigns
/// each a unique label. Useful as input markers for watershed segmentation.
///
/// # Arguments
///
/// * `image`        - Input intensity image
/// * `connectivity` - Neighborhood connectivity
/// * `threshold`    - Optional minimum depth of minima to consider
///
/// # Returns
///
/// Marker array with unique positive labels at each detected minimum.
///
/// # Example
///
/// ```
/// use scirs2_core::ndarray::array;
/// use scirs2_ndimage::watershed::{auto_markers, WatershedNeighborhood};
///
/// let image = array![
///     [5.0, 5.0, 5.0, 5.0, 5.0],
///     [5.0, 1.0, 5.0, 2.0, 5.0],
///     [5.0, 5.0, 5.0, 5.0, 5.0],
/// ];
///
/// let markers = auto_markers(&image, WatershedNeighborhood::Conn4, None)
///     .expect("should succeed");
/// assert!(markers[[1, 1]] > 0); // local minimum detected
/// assert!(markers[[1, 3]] > 0); // local minimum detected
/// ```
pub fn auto_markers<T>(
    image: &Array2<T>,
    connectivity: WatershedNeighborhood,
    threshold: Option<f64>,
) -> NdimageResult<Array2<i32>>
where
    T: Float + NumAssign + std::fmt::Debug + 'static,
{
    let rows = image.nrows();
    let cols = image.ncols();

    if rows == 0 || cols == 0 {
        return Ok(Array2::zeros((rows, cols)));
    }

    let offsets = neighbor_offsets(connectivity);
    let thresh = threshold.unwrap_or(0.0);

    let mut markers = Array2::<i32>::zeros((rows, cols));
    let mut next_label = 1i32;

    for r in 0..rows {
        for c in 0..cols {
            let val = image[[r, c]].to_f64().unwrap_or(f64::INFINITY);

            let mut is_minimum = true;
            let mut min_neighbor = f64::INFINITY;

            for &(dr, dc) in offsets {
                let nr = r as isize + dr;
                let nc = c as isize + dc;
                if in_bounds(nr, nc, rows, cols) {
                    let nval = image[[nr as usize, nc as usize]]
                        .to_f64()
                        .unwrap_or(f64::INFINITY);
                    if nval <= val {
                        is_minimum = false;
                        break;
                    }
                    if nval < min_neighbor {
                        min_neighbor = nval;
                    }
                }
            }

            if is_minimum {
                // Check depth threshold
                let depth = if min_neighbor.is_finite() {
                    min_neighbor - val
                } else {
                    f64::INFINITY
                };

                if depth >= thresh {
                    markers[[r, c]] = next_label;
                    next_label += 1;
                }
            }
        }
    }

    Ok(markers)
}

// ---------------------------------------------------------------------------
// Tests
// ---------------------------------------------------------------------------

#[cfg(test)]
mod tests {
    use super::*;
    use scirs2_core::ndarray::array;

    #[test]
    fn test_compact_watershed_basic() {
        let image = array![
            [0.1, 0.2, 0.9, 0.2, 0.1],
            [0.1, 0.1, 0.9, 0.1, 0.1],
            [0.1, 0.2, 0.9, 0.2, 0.1],
        ];
        let markers = array![[0, 0, 0, 0, 0], [1, 0, 0, 0, 2], [0, 0, 0, 0, 0],];

        let config = CompactWatershedConfig::default();
        let result = compact_watershed(&image, &markers, &config).expect("should succeed");

        assert_eq!(result[[1, 0]], 1);
        assert_eq!(result[[1, 4]], 2);
        // All pixels should be labeled
        for &v in result.iter() {
            assert!(v > 0);
        }
    }

    #[test]
    fn test_compact_watershed_with_compactness() {
        let image = array![
            [0.1, 0.1, 0.5, 0.1, 0.1],
            [0.1, 0.1, 0.5, 0.1, 0.1],
            [0.1, 0.1, 0.5, 0.1, 0.1],
        ];
        let markers = array![[0, 0, 0, 0, 0], [1, 0, 0, 0, 2], [0, 0, 0, 0, 0],];

        let config = CompactWatershedConfig {
            compactness: 1.0,
            ..Default::default()
        };

        let result = compact_watershed(&image, &markers, &config).expect("should succeed");
        assert_eq!(result[[1, 0]], 1);
        assert_eq!(result[[1, 4]], 2);
    }

    #[test]
    fn test_compact_watershed_shape_mismatch() {
        let image = array![[0.1, 0.2], [0.3, 0.4]];
        let markers = array![[0, 0, 0], [1, 0, 2]];

        let config = CompactWatershedConfig::default();
        let result = compact_watershed(&image, &markers, &config);
        assert!(result.is_err());
    }

    #[test]
    fn test_compact_watershed_single_marker() {
        let image = array![[1.0, 2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0]];
        let markers = array![[1, 0, 0], [0, 0, 0], [0, 0, 0]];

        let config = CompactWatershedConfig::default();
        let result = compact_watershed(&image, &markers, &config).expect("should succeed");
        for &v in result.iter() {
            assert_eq!(v, 1);
        }
    }

    #[test]
    fn test_compact_watershed_watershed_line() {
        let image = array![
            [1.0, 2.0, 9.0, 2.0, 1.0],
            [1.0, 2.0, 9.0, 2.0, 1.0],
            [1.0, 2.0, 9.0, 2.0, 1.0],
        ];
        let markers = array![[1, 0, 0, 0, 2], [0, 0, 0, 0, 0], [1, 0, 0, 0, 2],];

        let config = CompactWatershedConfig {
            watershed_line: true,
            connectivity: WatershedNeighborhood::Conn4,
            ..Default::default()
        };

        let result = compact_watershed(&image, &markers, &config).expect("should succeed");
        // Markers should be preserved
        assert_eq!(result[[0, 0]], 1);
        assert_eq!(result[[0, 4]], 2);
    }

    #[test]
    fn test_compact_watershed_empty() {
        let image: Array2<f64> = Array2::zeros((0, 0));
        let markers: Array2<i32> = Array2::zeros((0, 0));
        let config = CompactWatershedConfig::default();
        let result = compact_watershed(&image, &markers, &config).expect("empty should succeed");
        assert_eq!(result.len(), 0);
    }

    #[test]
    fn test_extract_dams_basic() {
        let labels = array![[1, 1, 2, 2], [1, 1, 2, 2], [3, 3, 4, 4], [3, 3, 4, 4],];

        let result = extract_dams(&labels, WatershedNeighborhood::Conn4).expect("should succeed");

        // Pixels at boundaries should be dams
        // (0,1)/(1,0) border region 1/2 or 1/3
        assert!(result.num_regions >= 2);

        // Interior pixels should NOT be dams
        assert!(!result.dam_mask[[0, 0]]);
        assert!(!result.dam_mask[[3, 3]]);
    }

    #[test]
    fn test_extract_dams_single_region() {
        let labels = Array2::from_elem((4, 4), 1i32);
        let result = extract_dams(&labels, WatershedNeighborhood::Conn8).expect("should succeed");
        // No dams in a single-region image
        for &v in result.dam_mask.iter() {
            assert!(!v);
        }
        assert_eq!(result.num_regions, 1);
    }

    #[test]
    fn test_merge_small_regions_basic() {
        let image = array![
            [0.1, 0.1, 0.9, 0.9],
            [0.1, 0.1, 0.9, 0.9],
            [0.1, 0.1, 0.9, 0.9],
            [0.1, 0.1, 0.9, 0.9],
        ];

        let labels = array![
            [1, 1, 2, 2],
            [1, 3, 2, 2], // region 3 has area 1
            [1, 1, 2, 2],
            [1, 1, 2, 2],
        ];

        let config = OversegmentationConfig {
            min_region_area: 3,
            ..Default::default()
        };

        let result = merge_small_regions(&image, &labels, &config).expect("should succeed");

        // Region 3 (area 1) should be merged
        assert_ne!(result[[1, 1]], 3);
        // It should be merged into region 1 (most similar mean intensity)
        assert_eq!(result[[1, 1]], 1);
    }

    #[test]
    fn test_merge_small_regions_max_regions() {
        let image = Array2::<f64>::from_elem((6, 6), 0.5);

        let mut labels = Array2::<i32>::zeros((6, 6));
        // Create 4 regions
        for r in 0..3 {
            for c in 0..3 {
                labels[[r, c]] = 1;
            }
        }
        for r in 0..3 {
            for c in 3..6 {
                labels[[r, c]] = 2;
            }
        }
        for r in 3..6 {
            for c in 0..3 {
                labels[[r, c]] = 3;
            }
        }
        for r in 3..6 {
            for c in 3..6 {
                labels[[r, c]] = 4;
            }
        }

        let config = OversegmentationConfig {
            min_region_area: 1,
            max_regions: 2,
            ..Default::default()
        };

        let result = merge_small_regions(&image, &labels, &config).expect("should succeed");

        // Count unique labels
        let mut unique = std::collections::HashSet::new();
        for &v in result.iter() {
            if v > 0 {
                unique.insert(v);
            }
        }
        assert!(
            unique.len() <= 2,
            "Expected <= 2 regions, got {}",
            unique.len()
        );
    }

    #[test]
    fn test_h_minima_transform() {
        // h-minima transform: HMIN_h(f) = reconstruction_by_dilation(f - h, f)
        //
        // For a minimum at pixel p with depth d (= surrounding_level - f(p)):
        // - If d <= h: the minimum is SUPPRESSED (filled flat with its plateau)
        //   Result: surrounding_level - h (same as neighboring pixels in reconstruction)
        // - If d > h: the minimum is PRESERVED but with reduced depth d - h
        //   Result: f(p) (clamped by mask, stays at original value)

        let image = array![
            [5.0, 5.0, 5.0, 5.0, 5.0],
            [5.0, 3.0, 5.0, 1.0, 5.0],
            [5.0, 5.0, 5.0, 5.0, 5.0],
        ];
        // Minimum at (1,1): value=3, depth=2 (5-3)
        // Minimum at (1,3): value=1, depth=4 (5-1)

        // h=1.5: both minima deeper than h, both remain as local minima
        // marker = f - 1.5 => surrounding=3.5, (1,1)=1.5, (1,3)=-0.5
        // After reconstruction:
        //   (1,1): reconstruction raises marker to min(3.5, mask=3) = 3.0
        //   (1,3): reconstruction tries 3.5 but clamped by mask=1 => 1.0
        //   neighbors: all become 3.5 (< mask=5)
        // So both remain as minima in the reconstructed image
        let result = h_minima_transform(&image, 1.5).expect("should succeed");

        // Flat plateau should be at 5.0 - 1.5 = 3.5
        assert!((result[[0, 0]] - 3.5).abs() < 1e-10);
        // (1,1) has depth 2 > h=1.5: still a minimum, value = original (3.0)
        //   actually, reconstruction of marker=1.5 under mask=3.0 =>
        //   neighbors dilate to 3.5 then clamp to min(3.5, 3.0) = 3.0
        //   So (1,1) = 3.0, plateau = 3.5 => depth = 0.5 = 2.0 - 1.5 = d - h
        assert!(result[[1, 1]] < result[[0, 0]]); // still a minimum
                                                  // (1,3) has depth 4 > h=1.5: still a minimum
        assert!(result[[1, 3]] < result[[0, 0]]); // still a minimum

        // h=3.0: minimum at (1,1) with depth 2 <= h=3 is SUPPRESSED
        //   marker = f - 3 => surrounding=2, (1,1)=0, (1,3)=-2
        //   After reconstruction:
        //     (1,1): neighbors dilate to 2, min(2, mask=3) = 2 => same as plateau
        //     (1,3): neighbors dilate to 2, min(2, mask=1) = 1 => still a minimum
        //     Plateau pixels: all 2 (= 5 - 3)
        let result2 = h_minima_transform(&image, 3.0).expect("should succeed");

        // Plateau level = 5 - 3 = 2.0
        let plateau_level = result2[[0, 0]];
        assert!((plateau_level - 2.0).abs() < 1e-10);

        // (1,1) depth=2 <= h=3: SUPPRESSED -- raised to plateau level
        assert!(
            (result2[[1, 1]] - plateau_level).abs() < 1e-10,
            "expected (1,1) to be suppressed to plateau {}, got {}",
            plateau_level,
            result2[[1, 1]]
        );

        // (1,3) depth=4 > h=3: PRESERVED as a minimum
        // Reconstruction: marker=-2, neighbors=2, mask=1 => min(2, 1) = 1
        assert!(
            result2[[1, 3]] < plateau_level,
            "expected (1,3) to still be a minimum (below plateau {}), got {}",
            plateau_level,
            result2[[1, 3]]
        );
        assert!((result2[[1, 3]] - 1.0).abs() < 1e-10);
    }

    #[test]
    fn test_auto_markers_basic() {
        let image = array![
            [5.0, 5.0, 5.0, 5.0, 5.0],
            [5.0, 1.0, 5.0, 2.0, 5.0],
            [5.0, 5.0, 5.0, 5.0, 5.0],
        ];

        let markers =
            auto_markers(&image, WatershedNeighborhood::Conn4, None).expect("should succeed");

        // Should detect two local minima
        assert!(markers[[1, 1]] > 0);
        assert!(markers[[1, 3]] > 0);
        assert_ne!(markers[[1, 1]], markers[[1, 3]]);

        // Non-minimum pixels should be 0
        assert_eq!(markers[[0, 0]], 0);
    }

    #[test]
    fn test_auto_markers_with_threshold() {
        let image = array![
            [5.0, 5.0, 5.0, 5.0, 5.0],
            [5.0, 4.5, 5.0, 1.0, 5.0],
            [5.0, 5.0, 5.0, 5.0, 5.0],
        ];

        // Threshold = 1.0: only minima with depth >= 1.0
        let markers =
            auto_markers(&image, WatershedNeighborhood::Conn4, Some(1.0)).expect("should succeed");

        // (1,1) has depth 0.5 < threshold: not a marker
        assert_eq!(markers[[1, 1]], 0);
        // (1,3) has depth 4.0 >= threshold: is a marker
        assert!(markers[[1, 3]] > 0);
    }

    #[test]
    fn test_auto_markers_empty() {
        let image: Array2<f64> = Array2::zeros((0, 0));
        let markers =
            auto_markers(&image, WatershedNeighborhood::Conn4, None).expect("empty should succeed");
        assert_eq!(markers.len(), 0);
    }

    #[test]
    fn test_compact_watershed_conn4() {
        let image = array![[0.1, 0.9, 0.1], [0.9, 0.9, 0.9], [0.1, 0.9, 0.1],];
        let markers = array![[1, 0, 2], [0, 0, 0], [3, 0, 4],];

        let config = CompactWatershedConfig {
            connectivity: WatershedNeighborhood::Conn4,
            compactness: 0.0,
            watershed_line: false,
        };

        let result = compact_watershed(&image, &markers, &config).expect("should succeed");
        assert_eq!(result[[0, 0]], 1);
        assert_eq!(result[[0, 2]], 2);
        assert_eq!(result[[2, 0]], 3);
        assert_eq!(result[[2, 2]], 4);
    }
}