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!();
let testimages = create_testimages();
let config = QuantumConfig {
iterations: 20, 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!();
demonstrate_quantum_superposition_filtering(&testimages.original, &config)?;
demonstrate_quantum_entanglement_correlation(&testimages.original, &config)?;
demonstrate_quantum_walk_edge_detection(&testimages.original, &config)?;
demonstrate_quantum_machine_learning(&testimages, &config)?;
demonstrate_quantum_error_correction(&testimages.noisy, &config)?;
demonstrate_quantum_tensor_networks(&testimages.original, &config)?;
demonstrate_quantum_variational_enhancement(&testimages.blurred, &config)?;
demonstrate_quantum_fourier_transform(&testimages.original, &config)?;
demonstrate_quantum_amplitude_amplification(&testimages.original, &config)?;
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...");
let size = 16;
let mut original = Array2::zeros((size, size));
for y in 0..size {
for x in 0..size {
let value =
if ((y as f64 - 7.5).powi(2) + (x as f64 - 7.5).powi(2)).sqrt() < 3.0 {
0.8
}
else if y > 2 && y < 6 && x > 10 && x < 14 {
0.6
}
else if (y as i32 - x as i32).abs() < 2 && y < size / 2 {
0.4
}
else {
0.1 + 0.3 * (x as f64 / size as f64)
};
original[(y, x)] = value;
}
}
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);
}
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;
}
}
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();
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();
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();
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();
let training_data = vec![
testimages.original.clone(),
testimages.noisy.clone(),
testimages.blurred.clone(),
];
let labels = vec![0, 1, 2];
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();
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();
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;
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();
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();
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();
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();
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();
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(())
}
#[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()
}