clear all;

lena = imread('lena.tiff');
lena_gray = rgb2gray(lena);
lena_gray_normalized = double(lena_gray) / 255;

imshow(lena_gray);
title('Original Lena Gray');

h1 = (1/6)*ones(1,6);
h2 = h1';
h3 = [-1 1];

lena_gray_convolved_h1 = conv2(lena_gray_normalized, h1);
lena_gray_convolved_h2 = conv2(lena_gray_normalized, h2);
lena_gray_convolved_h3 = conv2(lena_gray_normalized, h3);

figure
imshow(lena_gray_convolved_h1);
title('Lena Gray Convolved with h1');
figure;
imshow(lena_gray_convolved_h2);
title('Lena Gray Convolved with h2');
figure;
imshow(lena_gray_convolved_h3);
title('Lena Gray Convolved with h3');