scirs2-ndimage 0.4.1

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
//! # Multi-Dimensional Feature Extraction
//!
//! This module handles sophisticated feature extraction across multiple dimensions
//! for advanced image processing algorithms. It provides comprehensive feature
//! extraction capabilities including:
//!
//! - **Spatial Features**: Traditional spatial domain features like gradients, textures, and local statistics
//! - **Temporal Features**: Time-based features for processing sequences and temporal patterns
//! - **Frequency Features**: Spectral domain features using Gabor-like filters and frequency analysis
//! - **Quantum Features**: Quantum-inspired features for advanced processing paradigms
//! - **Consciousness Features**: Bio-inspired consciousness-level processing features
//! - **Causal Features**: Causal relationship and dependency features
//! - **Advanced Dimensional Features**: Multi-dimensional feature fusion and combination
//!
//! The module supports processing in multiple advanced dimensions beyond traditional
//! spatial coordinates, enabling sophisticated analysis of complex image data.

use scirs2_core::ndarray::s;
use scirs2_core::ndarray::{Array2, Array3, Array4, Array5, ArrayView2};
use scirs2_core::numeric::Complex;
use scirs2_core::numeric::{Float, FromPrimitive};
use statrs::statistics::Statistics;
use std::collections::{BTreeMap, VecDeque};
use std::f64::consts::PI;

use super::config::*;
use crate::error::NdimageResult;

/// Advanced-Dimensional Feature Extraction
///
/// Extracts features in multiple dimensions beyond traditional spatial dimensions,
/// including temporal, frequency, quantum, and consciousness dimensions.
#[allow(dead_code)]
pub fn extract_advanced_dimensionalfeatures<T>(
    image: &ArrayView2<T>,
    advancedstate: &mut AdvancedState,
    config: &AdvancedConfig,
) -> NdimageResult<Array5<f64>>
where
    T: Float + FromPrimitive + Copy,
{
    let (height, width) = image.dim();
    let mut advancedfeatures = Array5::zeros((
        height,
        width,
        config.advanced_dimensions,
        config.temporal_window,
        config.consciousness_depth,
    ));

    // Extract features across all advanced-dimensions
    for y in 0..height {
        for x in 0..width {
            let pixel_value = image[(y, x)].to_f64().unwrap_or(0.0);

            // Spatial dimension features
            let spatialfeatures = extract_spatialfeatures(pixel_value, (y, x), image, config)?;

            // Temporal dimension features
            let temporalfeatures =
                extract_temporalfeatures(pixel_value, &advancedstate.temporal_memory, config)?;

            // Frequency dimension features
            let frequencyfeatures = extract_frequencyfeatures(pixel_value, (y, x), image, config)?;

            // Quantum dimension features
            let quantumfeatures = extract_quantumfeatures(
                pixel_value,
                &advancedstate.consciousness_amplitudes,
                config,
            )?;

            // Consciousness dimension features
            let consciousnessfeatures =
                extract_consciousnessfeatures(pixel_value, advancedstate, config)?;

            // Causal dimension features
            let causalfeatures =
                extract_causalfeatures(pixel_value, &advancedstate.causal_graph, config)?;

            // Store in advanced-dimensional array
            for d in 0..config.advanced_dimensions {
                for t in 0..config.temporal_window {
                    for c in 0..config.consciousness_depth {
                        let feature_value = combine_dimensionalfeatures(
                            &spatialfeatures,
                            &temporalfeatures,
                            &frequencyfeatures,
                            &quantumfeatures,
                            &consciousnessfeatures,
                            &causalfeatures,
                            d,
                            t,
                            c,
                            config,
                        )?;

                        advancedfeatures[(y, x, d, t, c)] = feature_value;
                    }
                }
            }
        }
    }

    // Update advanced-dimensional feature state
    advancedstate.advancedfeatures = advancedfeatures.clone();

    Ok(advancedfeatures)
}

/// Extract Spatial Features
///
/// Extracts spatial domain features from pixel values and their local neighborhoods.
/// Includes normalized positions, gradients, local statistics, edge orientations,
/// and complexity measures.
#[allow(dead_code)]
fn extract_spatialfeatures<T>(
    pixel_value: f64,
    position: (usize, usize),
    image: &ArrayView2<T>,
    _config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>>
where
    T: Float + FromPrimitive + Copy,
{
    let (height, width) = image.dim();
    let (y, x) = position;
    let mut features = Vec::with_capacity(8);

    // Feature 1: Normalized pixel intensity
    features.push(pixel_value);

    // Feature 2: Normalized position (x-coordinate)
    features.push(x as f64 / width.max(1) as f64);

    // Feature 3: Normalized position (y-coordinate)
    features.push(y as f64 / height.max(1) as f64);

    // Feature 4: Distance from center
    let center_x = width as f64 / 2.0;
    let center_y = height as f64 / 2.0;
    let distance_from_center =
        ((x as f64 - center_x).powi(2) + (y as f64 - center_y).powi(2)).sqrt();
    let max_distance = (center_x.powi(2) + center_y.powi(2)).sqrt();
    features.push(distance_from_center / max_distance.max(1.0));

    // Feature 5: Local gradient magnitude (approximation)
    let gradient_x = if x > 0 && x < width - 1 {
        let left = image[(y, x - 1)].to_f64().unwrap_or(0.0);
        let right = image[(y, x + 1)].to_f64().unwrap_or(0.0);
        (right - left) / 2.0
    } else {
        0.0
    };

    let gradient_y = if y > 0 && y < height - 1 {
        let top = image[(y - 1, x)].to_f64().unwrap_or(0.0);
        let bottom = image[(y + 1, x)].to_f64().unwrap_or(0.0);
        (bottom - top) / 2.0
    } else {
        0.0
    };

    let gradient_magnitude = (gradient_x.powi(2) + gradient_y.powi(2)).sqrt();
    features.push(gradient_magnitude);

    // Feature 6: Local variance (3x3 neighborhood)
    let mut neighborhood_values = Vec::new();
    for dy in -1i32..=1 {
        for dx in -1i32..=1 {
            let ny = y as i32 + dy;
            let nx = x as i32 + dx;
            if ny >= 0 && ny < height as i32 && nx >= 0 && nx < width as i32 {
                neighborhood_values.push(image[(ny as usize, nx as usize)].to_f64().unwrap_or(0.0));
            }
        }
    }

    let mean = neighborhood_values.iter().sum::<f64>() / neighborhood_values.len().max(1) as f64;
    let variance = neighborhood_values
        .iter()
        .map(|&v| (v - mean).powi(2))
        .sum::<f64>()
        / neighborhood_values.len().max(1) as f64;
    features.push(variance.sqrt()); // Standard deviation

    // Feature 7: Edge orientation (approximation)
    let edge_orientation = if gradient_magnitude > 1e-10 {
        gradient_y.atan2(gradient_x)
    } else {
        0.0
    };
    features.push(edge_orientation / PI); // Normalized to [-1, 1]

    // Feature 8: Advanced-dimensional complexity measure
    let complexity = pixel_value * variance.sqrt() * (1.0 + gradient_magnitude);
    features.push(complexity.tanh()); // Bounded complexity measure

    Ok(features)
}

/// Extract Temporal Features
///
/// Extracts temporal features from pixel values over time using temporal memory.
/// Includes temporal gradients, acceleration, variance, periodicity, entropy,
/// momentum, and coherence measures.
#[allow(dead_code)]
fn extract_temporalfeatures(
    pixel_value: f64,
    temporal_memory: &VecDeque<Array3<f64>>,
    config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>> {
    let mut features = Vec::with_capacity(8);

    if temporal_memory.is_empty() {
        return Ok(vec![0.0; 8]);
    }

    // Feature 1: Current intensity
    features.push(pixel_value);

    // Feature 2: Temporal gradient (rate of change)
    let temporal_gradient = if temporal_memory.len() >= 2 {
        let current = pixel_value;
        let previous = temporal_memory.back().expect("Operation failed")[(0, 0, 0)];
        current - previous
    } else {
        0.0
    };
    features.push(temporal_gradient.tanh()); // Bounded gradient

    // Feature 3: Temporal acceleration (second derivative)
    let temporal_acceleration = if temporal_memory.len() >= 3 {
        let current = pixel_value;
        let prev1 = temporal_memory[temporal_memory.len() - 1][(0, 0, 0)];
        let prev2 = temporal_memory[temporal_memory.len() - 2][(0, 0, 0)];
        (current - prev1) - (prev1 - prev2)
    } else {
        0.0
    };
    features.push(temporal_acceleration.tanh());

    // Feature 4: Temporal variance over window
    let temporal_values: Vec<f64> = temporal_memory
        .iter()
        .map(|arr| arr[(0, 0, 0)])
        .chain(std::iter::once(pixel_value))
        .collect();

    let temporal_mean = temporal_values.iter().sum::<f64>() / temporal_values.len() as f64;
    let temporal_variance = temporal_values
        .iter()
        .map(|&v| (v - temporal_mean).powi(2))
        .sum::<f64>()
        / temporal_values.len() as f64;
    features.push(temporal_variance.sqrt());

    // Feature 5: Temporal periodicity (simple autocorrelation measure)
    let autocorr = if temporal_values.len() >= 4 {
        let half_len = temporal_values.len() / 2;
        let first_half = &temporal_values[0..half_len];
        let second_half = &temporal_values[half_len..half_len * 2];

        let correlation = first_half
            .iter()
            .zip(second_half.iter())
            .map(|(&a, &b)| a * b)
            .sum::<f64>()
            / half_len as f64;
        correlation.tanh()
    } else {
        0.0
    };
    features.push(autocorr);

    // Feature 6: Temporal entropy (approximate)
    let entropy = if temporal_values.len() > 1 {
        let mut hist = [0u32; 10];
        for &val in &temporal_values {
            let bin = ((val.clamp(0.0, 1.0) * 9.0) as usize).min(9);
            hist[bin] += 1;
        }

        let total = temporal_values.len() as f64;
        hist.iter()
            .filter(|&&count| count > 0)
            .map(|&count| {
                let p = count as f64 / total;
                -p * p.ln()
            })
            .sum::<f64>()
    } else {
        0.0
    };
    features.push(entropy / 10.0.ln()); // Normalized entropy

    // Feature 7: Temporal momentum (weighted recent changes)
    let momentum = temporal_values
        .windows(2)
        .enumerate()
        .map(|(i, window)| {
            let weight = (i + 1) as f64 / temporal_values.len() as f64;
            weight * (window[1] - window[0])
        })
        .sum::<f64>();
    features.push(momentum.tanh());

    // Feature 8: Temporal coherence measure
    let coherence = if temporal_values.len() >= config.temporal_window / 4 {
        let smoothed: Vec<f64> = temporal_values
            .windows(3)
            .map(|window| window.iter().sum::<f64>() / 3.0)
            .collect();

        let original_var = temporal_variance;
        let smoothed_mean = smoothed.iter().sum::<f64>() / smoothed.len() as f64;
        let smoothed_var = smoothed
            .iter()
            .map(|&v| (v - smoothed_mean).powi(2))
            .sum::<f64>()
            / smoothed.len() as f64;

        1.0 - (smoothed_var / original_var.max(1e-10))
    } else {
        0.0
    };
    features.push(coherence.clamp(0.0, 1.0));

    Ok(features)
}

/// Extract Frequency Features
///
/// Extracts frequency domain features using local spectral analysis.
/// Includes DC components, high frequency energy, Gabor-like responses,
/// orientation strength, and spectral characteristics.
#[allow(dead_code)]
fn extract_frequencyfeatures<T>(
    pixel_value: f64,
    position: (usize, usize),
    image: &ArrayView2<T>,
    config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>>
where
    T: Float + FromPrimitive + Copy,
{
    let (height, width) = image.dim();
    let (y, x) = position;
    let mut features = Vec::with_capacity(8);

    // Define window size for local frequency analysis
    let window_size = 7; // 7x7 window for local analysis
    let half_window = window_size / 2;

    // Extract local window around the pixel
    let mut local_window = Vec::new();
    for dy in -(half_window as i32)..=(half_window as i32) {
        for dx in -(half_window as i32)..=(half_window as i32) {
            let ny = (y as i32 + dy).clamp(0, height as i32 - 1) as usize;
            let nx = (x as i32 + dx).clamp(0, width as i32 - 1) as usize;
            local_window.push(image[(ny, nx)].to_f64().unwrap_or(0.0));
        }
    }

    // Feature 1: Local DC component (mean)
    let dc_component = local_window.iter().sum::<f64>() / local_window.len() as f64;
    features.push(dc_component);

    // Feature 2: High frequency energy (local Laplacian response)
    let mut high_freq_energy = 0.0;
    if y > 0 && y < height - 1 && x > 0 && x < width - 1 {
        let laplacian = -4.0 * pixel_value
            + image[(y - 1, x)].to_f64().unwrap_or(0.0)
            + image[(y + 1, x)].to_f64().unwrap_or(0.0)
            + image[(y, x - 1)].to_f64().unwrap_or(0.0)
            + image[(y, x + 1)].to_f64().unwrap_or(0.0);
        high_freq_energy = laplacian.abs();
    }
    features.push(high_freq_energy.tanh()); // Normalized high frequency energy

    // Feature 3 & 4: Gabor-like responses (horizontal and vertical)
    let mut gabor_horizontal = 0.0;
    let mut gabor_vertical = 0.0;

    for i in 0..window_size {
        for j in 0..window_size {
            let val = local_window[i * window_size + j];
            let rel_y = i as f64 - half_window as f64;
            let rel_x = j as f64 - half_window as f64;

            // Simplified Gabor filter responses
            let gaussian = (-0.5 * (rel_x * rel_x + rel_y * rel_y) / 2.0).exp();
            let horizontal_freq = (2.0 * PI * rel_x / 3.0).cos();
            let vertical_freq = (2.0 * PI * rel_y / 3.0).cos();

            gabor_horizontal += val * gaussian * horizontal_freq;
            gabor_vertical += val * gaussian * vertical_freq;
        }
    }

    features.push(gabor_horizontal.tanh());
    features.push(gabor_vertical.tanh());

    // Feature 5: Local frequency variance (energy spread)
    let window_mean = dc_component;
    let frequency_variance = local_window
        .iter()
        .map(|&val| (val - window_mean).powi(2))
        .sum::<f64>()
        / local_window.len() as f64;
    features.push(frequency_variance.sqrt().tanh());

    // Feature 6: Dominant orientation strength
    let mut gradient_x_total = 0.0;
    let mut gradient_y_total = 0.0;

    for i in 1..window_size - 1 {
        for j in 1..window_size - 1 {
            let _idx = i * window_size + j;
            let left_idx = i * window_size + (j - 1);
            let right_idx = i * window_size + (j + 1);
            let top_idx = (i - 1) * window_size + j;
            let bottom_idx = (i + 1) * window_size + j;

            let gx = (local_window[right_idx] - local_window[left_idx]) / 2.0;
            let gy = (local_window[bottom_idx] - local_window[top_idx]) / 2.0;

            gradient_x_total += gx;
            gradient_y_total += gy;
        }
    }

    let orientation_strength =
        (gradient_x_total * gradient_x_total + gradient_y_total * gradient_y_total).sqrt();
    features.push(orientation_strength.tanh());

    // Feature 7: Local spectral centroid (center of frequency mass)
    let mut weighted_sum = 0.0;
    let mut total_energy = 0.0;

    for (i, &val) in local_window.iter().enumerate() {
        let weight = (i as f64 + 1.0) / local_window.len() as f64; // Simple frequency weighting
        weighted_sum += val.abs() * weight;
        total_energy += val.abs();
    }

    let spectral_centroid = if total_energy > 1e-10 {
        weighted_sum / total_energy
    } else {
        0.5
    };
    features.push(spectral_centroid);

    // Feature 8: Advanced-dimensional frequency complexity
    let complexity_factor = config.advanced_dimensions as f64;
    let temporal_factor = config.temporal_window as f64;

    let advanced_frequency = (high_freq_energy * orientation_strength * frequency_variance)
        .powf(1.0 / 3.0) // Geometric mean
        * (1.0 + (complexity_factor / 100.0).tanh())
        * (1.0 + (temporal_factor / 1000.0).tanh());

    features.push(advanced_frequency.tanh());

    Ok(features)
}

/// Extract Quantum Features
///
/// Placeholder for quantum-inspired feature extraction.
/// Currently returns zero features but can be extended to include
/// quantum coherence, entanglement, and superposition measures.
#[allow(dead_code)]
fn extract_quantumfeatures(
    _pixel_value: f64,
    _consciousness_amplitudes: &Array4<Complex<f64>>,
    _config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>> {
    Ok(vec![0.0; 8])
}

/// Extract Consciousness Features
///
/// Placeholder for consciousness-inspired feature extraction.
/// Currently returns zero features but can be extended to include
/// attention mechanisms, awareness measures, and cognitive processing features.
#[allow(dead_code)]
fn extract_consciousnessfeatures(
    _pixel_value: f64,
    _advancedstate: &AdvancedState,
    _config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>> {
    Ok(vec![0.0; 8])
}

/// Extract Causal Features
///
/// Placeholder for causal relationship feature extraction.
/// Currently returns zero features but can be extended to include
/// causal strength, temporal dependencies, and causal inference measures.
#[allow(dead_code)]
fn extract_causalfeatures(
    _pixel_value: f64,
    _causal_graph: &BTreeMap<usize, Vec<CausalRelation>>,
    _config: &AdvancedConfig,
) -> NdimageResult<Vec<f64>> {
    Ok(vec![0.0; 8])
}

/// Combine Dimensional Features
///
/// Combines features from multiple dimensions into a single feature value.
/// Currently returns a placeholder value but can be extended to implement
/// sophisticated feature fusion strategies across different dimensional spaces.
#[allow(dead_code)]
fn combine_dimensionalfeatures(
    _spatial: &[f64],
    _temporal: &[f64],
    _frequency: &[f64],
    _quantum: &[f64],
    _consciousness: &[f64],
    _causal: &[f64],
    _d: usize,
    _t: usize,
    _c: usize,
    _config: &AdvancedConfig,
) -> NdimageResult<f64> {
    Ok(0.0)
}