[2D Convolution] The kernel of a certain filter and two sample images are given below:

a) Apply the filter over the sample images via 2D convolution and write down the outputs. Assume we require the output to be of the same size as the input.

b) From the result in , infer what is a possible application of the filter? Explain. Experiment on a 256px by 256px RGB image from the USC-SIPI image database: http://sipi.usc.edu/database/ of your preference, or use the provided test image to verify your statement. Show the original image and the result after filtering.

c) Sketch a VERY approximate transfer function of the filter in the frequency domain.

t + -32 04 5+ 24 12 0- 2- 22 2- -32 02 52 22 12 04 12 12 14 -3- 0 52 2 12 02 04 0- 0 Kernel- Sample image one- Sample image two- t + -32 04 5+ 24 12 0- 2- 22 2- -32 02 52 22 12 04 12 12 14 -3- 0 52 2 12 02 04 0- 0 Kernel- Sample image one- Sample image two