Hi Aswathi,
There might not be a widely available built-in function for the 2D Non-Separable Linear Canonical Transform (2D NS LCT) in MATLAB, you can achieve the transformation using its core mathematical operations and functions.
Function:
function transformed_image = ns_lct2d(image, a, b, c, d, tx, ty)
% Perform 2D Non-Separable Linear Canonical Transform (2D NS LCT)
[M, N] = size(image);
% Kernel creation for the transform
[x, y] = meshgrid(1:N, 1:M);
kernel = exp(1i*pi*(a*y.^2 + b*x.*y + c*x.^2 + d*(x+y))) .* ...
exp(-2i*pi*(tx*x + ty*y));
% Apply the transform using frequency domain multiplication
F = fft2(image);
transformed_image = ifft2(F .* kernel);
end
Usage:
image = imread('your_image.jpg'); % Replace with your image file
a = 0.1; b = 0.2; c = 0.3; d = 0.4; % Adjust LCT parameters
tx = 0.5; ty = 0.2; % Adjust shearing parameters
transformed_image = ns_lct2d(image, a, b, c, d, tx, ty);
% Visualize or further process the transformed image
imshow(abs(transformed_image)); % Display magnitude of the transformed image
Do let me know if it worked for you!
