Write a program in any language (but Matlab or C++ is preferred) that implements spatial convolution with a 3x3 Gaussian filter. Ignore the border effects.

INPUT: A gray level image of a checkerboard

OUTPUT: Execute convolution with a 3x3 Gaussian filter three times. The input for the second and third passes will be the output of the first and second passes, respectively. Ignore border effects. Before the first convolution and after each convolution, compute the total energy in the image. The output is:

The original image

The convolved image from each pass

The original energy total

The energy total after each convolution

Computer codes

CONSTRAINT: The convolution algorithm must be implemented from first principles the sum of weighted products. For other necessary functionality (reading, printing, conversions, etc.) you may use built-in functions.