matlab: gabor filter

One Gabor filter in a filter bank should be oriented at 60 degrees The wavelength, expressed in pixels, should be 60 pixels. Express the standard deviation as variables x and y Choose an arbitrary, but reasonable value for K.

Given the specification, what are the equations for the carrier and the kernel?

2.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 is provided

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. While not a requirement for theassignment, you may muse on why the energy level changes.

What would happen if you executed 1,000,000 passes?

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