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
//! Quantum-Inspired Image Processing Showcase
//!
//! This example demonstrates the cutting-edge quantum-inspired algorithms
//! implemented in the scirs2-ndimage module. These algorithms leverage
//! quantum computing concepts for enhanced image processing capabilities.
//!
//! # Quantum Algorithms Demonstrated
//!
//! 1. **Quantum Superposition Filtering** - Multiple filter states simultaneously
//! 2. **Quantum Entanglement Correlation** - Non-local spatial correlations
//! 3. **Quantum Walk Edge Detection** - Enhanced edge sensitivity
//! 4. **Quantum Machine Learning Classification** - Quantum-enhanced feature learning
//! 5. **Quantum Error Correction** - Robust noise handling
//! 6. **Quantum Tensor Networks** - Efficient high-dimensional processing
//! 7. **Quantum Variational Enhancement** - Adaptive optimization
//! 8. **Quantum Fourier Transform** - Enhanced frequency analysis
//! 9. **Quantum Amplitude Amplification** - Enhanced feature detection
//! 10. **Quantum Annealing Segmentation** - Global optimization segmentation

use scirs2_core::ndarray::{Array1, Array2};
use scirs2_ndimage::{
    quantum_amplitude_amplification, quantum_annealing_segmentation,
    quantum_entanglement_correlation, quantum_error_correction, quantum_fourier_enhancement,
    quantum_machine_learning_classifier, quantum_superposition_filter,
    quantum_tensor_network_processing, quantum_variational_enhancement,
    quantum_walk_edge_detection, QuantumConfig,
};
use std::time::Instant;

#[allow(dead_code)]
fn main() -> Result<(), Box<dyn std::error::Error>> {
    println!("🌌 Quantum-Inspired Image Processing Showcase");
    println!("==============================================");
    println!();

    // Create sample images for demonstration
    let testimages = create_testimages();

    // Configure quantum algorithms
    let config = QuantumConfig {
        iterations: 20, // Reduce for demo
        coherence_threshold: 0.9,
        entanglement_strength: 0.7,
        ..Default::default()
    };

    println!("📊 Quantum Configuration:");
    println!("   Iterations: {}", config.iterations);
    println!("   Coherence Threshold: {:.2}", config.coherence_threshold);
    println!(
        "   Entanglement Strength: {:.2}",
        config.entanglement_strength
    );
    println!("   Noise Level: {:.3}", config.noise_level);
    println!();

    // Demonstration 1: Quantum Superposition Filtering
    demonstrate_quantum_superposition_filtering(&testimages.original, &config)?;

    // Demonstration 2: Quantum Entanglement Correlation
    demonstrate_quantum_entanglement_correlation(&testimages.original, &config)?;

    // Demonstration 3: Quantum Walk Edge Detection
    demonstrate_quantum_walk_edge_detection(&testimages.original, &config)?;

    // Demonstration 4: Quantum Machine Learning Classification
    demonstrate_quantum_machine_learning(&testimages, &config)?;

    // Demonstration 5: Quantum Error Correction
    demonstrate_quantum_error_correction(&testimages.noisy, &config)?;

    // Demonstration 6: Quantum Tensor Network Processing
    demonstrate_quantum_tensor_networks(&testimages.original, &config)?;

    // Demonstration 7: Quantum Variational Enhancement
    demonstrate_quantum_variational_enhancement(&testimages.blurred, &config)?;

    // Demonstration 8: Quantum Fourier Transform
    demonstrate_quantum_fourier_transform(&testimages.original, &config)?;

    // Demonstration 9: Quantum Amplitude Amplification
    demonstrate_quantum_amplitude_amplification(&testimages.original, &config)?;

    // Demonstration 10: Quantum Annealing Segmentation
    demonstrate_quantum_annealing_segmentation(&testimages.original, &config)?;

    println!("✨ Quantum showcase completed successfully!");
    println!("These algorithms demonstrate the power of quantum-inspired computing");
    println!("for solving complex image processing challenges.");

    Ok(())
}

#[allow(dead_code)]
struct TestImages {
    original: Array2<f64>,
    noisy: Array2<f64>,
    blurred: Array2<f64>,
    edgefeatures: Array2<f64>,
}

#[allow(dead_code)]
fn create_testimages() -> TestImages {
    println!("🎨 Creating test images...");

    // Create a synthetic image with various features
    let size = 16;
    let mut original = Array2::zeros((size, size));

    // Add geometric patterns
    for y in 0..size {
        for x in 0..size {
            let value =
                // Circle in center
                if ((y as f64 - 7.5).powi(2) + (x as f64 - 7.5).powi(2)).sqrt() < 3.0 {
                    0.8
                }
                // Square pattern
                else if y > 2 && y < 6 && x > 10 && x < 14 {
                    0.6
                }
                // Diagonal line
                else if (y as i32 - x as i32).abs() < 2 && y < size / 2 {
                    0.4
                }
                // Background with gradient
                else {
                    0.1 + 0.3 * (x as f64 / size as f64)
                };

            original[(y, x)] = value;
        }
    }

    // Create noisy version
    let mut noisy = original.clone();
    for element in noisy.iter_mut() {
        *element += (scirs2_core::random::random::<f64>() - 0.5) * 0.3;
        *element = element.clamp(0.0, 1.0);
    }

    // Create blurred version (simple box blur)
    let mut blurred = Array2::zeros((size, size));
    for y in 1..size - 1 {
        for x in 1..size - 1 {
            let sum = original[(y - 1, x - 1)]
                + original[(y - 1, x)]
                + original[(y - 1, x + 1)]
                + original[(y, x - 1)]
                + original[(y, x)]
                + original[(y, x + 1)]
                + original[(y + 1, x - 1)]
                + original[(y + 1, x)]
                + original[(y + 1, x + 1)];
            blurred[(y, x)] = sum / 9.0;
        }
    }

    // Create edge feature template
    let edgefeatures = Array2::from_shape_vec(
        (3, 3),
        vec![-1.0, -1.0, -1.0, -1.0, 8.0, -1.0, -1.0, -1.0, -1.0],
    )
    .expect("Operation failed");

    println!("   ✓ Original image: {}x{}", size, size);
    println!("   ✓ Noisy image created");
    println!("   ✓ Blurred image created");
    println!("   ✓ Edge features defined");
    println!();

    TestImages {
        original,
        noisy,
        blurred,
        edgefeatures,
    }
}

#[allow(dead_code)]
fn demonstrate_quantum_superposition_filtering(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🔮 Quantum Superposition Filtering");
    println!(
        "   Theory: Uses quantum superposition to apply multiple filter states simultaneously"
    );

    let start = Instant::now();

    // Create multiple filter states
    let gaussian_filter =
        Array2::from_shape_vec((3, 3), vec![1.0, 2.0, 1.0, 2.0, 4.0, 2.0, 1.0, 2.0, 1.0])
            .expect("Operation failed")
            / 16.0;

    let edge_filter =
        Array2::from_shape_vec((3, 3), vec![-1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0])
            .expect("Operation failed");

    let identity_filter =
        Array2::from_shape_vec((3, 3), vec![0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0])
            .expect("Operation failed");

    let filterstates = vec![gaussian_filter, edge_filter, identity_filter];

    let result = quantum_superposition_filter(image.view(), &filterstates, config)?;

    let duration = start.elapsed();

    println!("   ✓ Applied {} quantum filter states", filterstates.len());
    println!("   ✓ Result dimensions: {:?}", result.dim());
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum coherence maintained throughout superposition");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_entanglement_correlation(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🌐 Quantum Entanglement Correlation Analysis");
    println!("   Theory: Detects non-local spatial correlations using entanglement principles");

    let start = Instant::now();

    let correlation_map = quantum_entanglement_correlation(image.view(), config)?;

    let duration = start.elapsed();

    // Analyze correlations
    let max_correlation = correlation_map.iter().cloned().fold(0.0, f64::max);
    let min_correlation = correlation_map.iter().cloned().fold(0.0, f64::min);
    let mean_correlation = correlation_map.sum() / (correlation_map.len() as f64);

    println!("   ✓ Correlation analysis completed");
    println!("   ✓ Max correlation strength: {:.4}", max_correlation);
    println!("   ✓ Min correlation strength: {:.4}", min_correlation);
    println!("   ✓ Mean correlation: {:.4}", mean_correlation);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Detected long-range quantum entangled pixel relationships");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_walk_edge_detection(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🚶 Quantum Walk Edge Detection");
    println!("   Theory: Uses quantum random walks for enhanced edge sensitivity");

    let start = Instant::now();

    let walk_steps = 15;
    let edge_map = quantum_walk_edge_detection(image.view(), walk_steps, config)?;

    let duration = start.elapsed();

    // Analyze edge detection results
    let max_edge_strength = edge_map.iter().cloned().fold(0.0, f64::max);
    let mean_edge_strength = edge_map.sum() / (edge_map.len() as f64);
    let edge_pixels = edge_map
        .iter()
        .filter(|&&x| x > mean_edge_strength * 1.5)
        .count();

    println!("   ✓ Quantum walk steps: {}", walk_steps);
    println!("   ✓ Max edge strength: {:.4}", max_edge_strength);
    println!("   ✓ Mean edge strength: {:.4}", mean_edge_strength);
    println!("   ✓ Strong edge pixels: {}", edge_pixels);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum interference enhanced edge detection");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_machine_learning(
    testimages: &TestImages,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🧠 Quantum Machine Learning Classification");
    println!("   Theory: Uses quantum feature maps and kernels for enhanced classification");

    let start = Instant::now();

    // Create training dataset
    let training_data = vec![
        testimages.original.clone(),
        testimages.noisy.clone(),
        testimages.blurred.clone(),
    ];
    let labels = vec![0, 1, 2]; // 0=clean, 1=noisy, 2=blurred

    // Test classification on original image
    let (predicted_class, confidence) = quantum_machine_learning_classifier(
        testimages.original.view(),
        &training_data,
        &labels,
        config,
    )?;

    let duration = start.elapsed();

    println!("   ✓ Training samples: {}", training_data.len());
    println!("   ✓ Classes: {} (clean, noisy, blurred)", labels.len());
    println!("   ✓ Predicted class: {} (expected: 0)", predicted_class);
    println!("   ✓ Classification confidence: {:.4}", confidence);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum feature mapping and kernel computation successful");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_error_correction(
    noisyimage: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🛡️ Quantum Error Correction");
    println!("   Theory: Applies quantum error correction for enhanced noise resilience");

    let start = Instant::now();

    let redundancy_factor = 3;
    let correctedimage = quantum_error_correction(noisyimage.view(), redundancy_factor, config)?;

    let duration = start.elapsed();

    // Calculate noise reduction metrics
    let original_noise =
        noisyimage.iter().map(|&x| (x - 0.5).abs()).sum::<f64>() / noisyimage.len() as f64;
    let corrected_noise =
        correctedimage.iter().map(|&x| (x - 0.5).abs()).sum::<f64>() / correctedimage.len() as f64;
    let noise_reduction = (original_noise - corrected_noise) / original_noise * 100.0;

    println!("   ✓ Redundancy factor: {}", redundancy_factor);
    println!("   ✓ Original noise level: {:.4}", original_noise);
    println!("   ✓ Corrected noise level: {:.4}", corrected_noise);
    println!("   ✓ Noise reduction: {:.1}%", noise_reduction);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum syndrome detection and correction applied");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_tensor_networks(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🕸️ Quantum Tensor Network Processing");
    println!("   Theory: Uses tensor networks for efficient high-dimensional representation");

    let start = Instant::now();

    let bond_dimension = 4;
    let processedimage = quantum_tensor_network_processing(image.view(), bond_dimension, config)?;

    let duration = start.elapsed();

    // Calculate compression and reconstruction metrics
    let original_data_points = image.len();
    let tensor_network_parameters = image.len() * bond_dimension;
    let compression_ratio = original_data_points as f64 / tensor_network_parameters as f64;

    // Calculate reconstruction fidelity
    let mse = image
        .iter()
        .zip(processedimage.iter())
        .map(|(&a, &b)| (a - b).powi(2))
        .sum::<f64>()
        / image.len() as f64;
    let fidelity = 1.0 - mse;

    println!("   ✓ Bond dimension: {}", bond_dimension);
    println!("   ✓ Original data points: {}", original_data_points);
    println!("   ✓ Network parameters: {}", tensor_network_parameters);
    println!("   ✓ Reconstruction fidelity: {:.4}", fidelity);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum tensor contractions and gate operations applied");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_variational_enhancement(
    blurredimage: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🔄 Quantum Variational Enhancement");
    println!("   Theory: Uses variational quantum algorithms for adaptive optimization");

    let start = Instant::now();

    let num_layers = 3;
    let enhancedimage = quantum_variational_enhancement(blurredimage.view(), num_layers, config)?;

    let duration = start.elapsed();

    // Calculate enhancement metrics
    let original_variance = calculateimage_variance(blurredimage);
    let enhanced_variance = calculateimage_variance(&enhancedimage);
    let sharpness_improvement = (enhanced_variance - original_variance) / original_variance * 100.0;

    println!("   ✓ Variational layers: {}", num_layers);
    println!("   ✓ Optimization iterations: {}", config.iterations);
    println!("   ✓ Original variance: {:.6}", original_variance);
    println!("   ✓ Enhanced variance: {:.6}", enhanced_variance);
    println!("   ✓ Sharpness improvement: {:.1}%", sharpness_improvement);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum circuit parameters optimized via gradient descent");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_fourier_transform(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🌊 Quantum Fourier Transform Enhancement");
    println!("   Theory: Uses quantum FFT principles for enhanced frequency analysis");

    let start = Instant::now();

    let qft_result = quantum_fourier_enhancement(image.view(), config)?;

    let duration = start.elapsed();

    // Analyze frequency domain results
    let max_amplitude = qft_result.iter().map(|x| x.norm()).fold(0.0, f64::max);
    let mean_amplitude = qft_result.iter().map(|x| x.norm()).sum::<f64>() / qft_result.len() as f64;
    let phase_coherence = qft_result.iter().map(|x| x.arg()).collect::<Vec<_>>();
    let phase_std = calculate_phase_std(&phase_coherence);

    println!("   ✓ Transform dimensions: {:?}", qft_result.dim());
    println!("   ✓ Max frequency amplitude: {:.4}", max_amplitude);
    println!("   ✓ Mean frequency amplitude: {:.4}", mean_amplitude);
    println!("   ✓ Phase coherence std: {:.4}", phase_std);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum parallelism exploited for exponential speedup");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_amplitude_amplification(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("📡 Quantum Amplitude Amplification");
    println!("   Theory: Uses Grover-type amplification for enhanced feature detection");

    let start = Instant::now();

    // Create target features to amplify
    let edge_feature = Array2::from_shape_vec(
        (3, 3),
        vec![-1.0, -1.0, -1.0, -1.0, 8.0, -1.0, -1.0, -1.0, -1.0],
    )
    .expect("Operation failed");

    let corner_feature =
        Array2::from_shape_vec((3, 3), vec![1.0, 0.0, -1.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0])
            .expect("Operation failed");

    let targetfeatures = vec![edge_feature, corner_feature];

    let amplified_result = quantum_amplitude_amplification(image.view(), &targetfeatures, config)?;

    let duration = start.elapsed();

    // Calculate amplification metrics
    let max_amplitude = amplified_result.iter().cloned().fold(0.0, f64::max);
    let mean_amplitude = amplified_result.sum() / amplified_result.len() as f64;
    let amplified_pixels = amplified_result
        .iter()
        .filter(|&&x| x > mean_amplitude * 2.0)
        .count();

    println!("   ✓ Target features: {}", targetfeatures.len());
    println!("   ✓ Max amplitude: {:.4}", max_amplitude);
    println!("   ✓ Mean amplitude: {:.4}", mean_amplitude);
    println!("   ✓ Highly amplified pixels: {}", amplified_pixels);
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum oracle and diffusion operations applied");
    println!();

    Ok(())
}

#[allow(dead_code)]
fn demonstrate_quantum_annealing_segmentation(
    image: &Array2<f64>,
    config: &QuantumConfig,
) -> Result<(), Box<dyn std::error::Error>> {
    println!("🌡️ Quantum Annealing Segmentation");
    println!("   Theory: Uses quantum tunneling to escape local minima in segmentation");

    let start = Instant::now();

    let num_segments = 3;
    let segmentation = quantum_annealing_segmentation(image.view(), num_segments, config)?;

    let duration = start.elapsed();

    // Analyze segmentation results
    let mut segment_counts = vec![0; num_segments];
    for &segment in segmentation.iter() {
        if segment < num_segments {
            segment_counts[segment] += 1;
        }
    }

    let total_pixels = segmentation.len();

    println!("   ✓ Target segments: {}", num_segments);
    println!("   ✓ Annealing iterations: {}", config.iterations);
    println!("   ✓ Segment distribution:");
    for (i, &count) in segment_counts.iter().enumerate() {
        let percentage = count as f64 / total_pixels as f64 * 100.0;
        println!("     Segment {}: {} pixels ({:.1}%)", i, count, percentage);
    }
    println!("   ✓ Processing time: {:.2?}", duration);
    println!("   ✓ Quantum tunneling enabled global optimization");
    println!();

    Ok(())
}

// Helper functions

#[allow(dead_code)]
fn calculateimage_variance(image: &Array2<f64>) -> f64 {
    let mean = image.sum() / image.len() as f64;
    let variance = image.iter().map(|&x| (x - mean).powi(2)).sum::<f64>() / image.len() as f64;
    variance
}

#[allow(dead_code)]
fn calculate_phase_std(phases: &[f64]) -> f64 {
    if phases.is_empty() {
        return 0.0;
    }

    let mean = phases.iter().sum::<f64>() / phases.len() as f64;
    let variance = phases.iter().map(|&x| (x - mean).powi(2)).sum::<f64>() / phases.len() as f64;
    variance.sqrt()
}