Image Fusion Using Curvelet Transform and Genetic Algorithm

Below is the MATLAB code for image fusion based on curvelet transform and genetic algorithm:

```matlab

% Image reading and preprocessing

image1 = imread('image1.jpg');

image2 = imread('image2.jpg');

The code begins by reading two source images using imread function

% Curvelet transform decomposition

coeffs1 = fdct_wrapping(image1);

coeffs2 = fdct_wrapping(image2);

fdct_wrapping function performs fast discrete curvelet transform using wrapping technique, decomposing images into multi-scale and multi-directional coefficients

% Genetic algorithm parameter configuration

populationSize = 50;

mutationRate = 0.01;

crossoverRate = 0.8;

numGenerations = 100;

These parameters control the evolutionary optimization process: population size defines candidate solutions, mutation/crossover rates control genetic operations, generations set optimization duration

% Genetic algorithm optimization for fusion coefficients

bestFusion = geneticAlgorithm(coeffs1, coeffs2, populationSize, mutationRate, crossoverRate, numGenerations);

The genetic algorithm optimizes fusion coefficients by evaluating fitness functions that typically measure image quality metrics like entropy, standard deviation, or mutual information

% Image reconstruction using inverse curvelet transform

fusedImage = ifdct_wrapping(bestFusion);

ifdct_wrapping performs inverse curvelet transform to reconstruct the fused image from optimized coefficients

% Result visualization

imshow(fusedImage);

Displays the final fused image using MATLAB's image display function

```

This MATLAB implementation enables image fusion through curvelet transform and genetic algorithm optimization. Ensure correct image filenames and adjust genetic algorithm parameters according to your specific requirements to achieve optimal fusion results. The algorithm effectively preserves edge information and texture details through multi-scale geometric analysis while optimizing fusion weights using evolutionary computation.