2D NS LCT function

Do anyone have the MATLAB function for 2D Non Separable Linear Canonical Transform(2D NS LCT)

Answer 1

[Amal Raj]

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!