Question

3.9 Assuming continuous values, show by example that it is possible to have a case in which the transformation function given in Eq. (3.3-4) satisfies conditions (a) and (b) in Section 3.3.1, but its inverse may fail to be single valued. . Write a MatLab program to perform spatial filtcring of an imags (see Sacticn 3.635) reganding eplementation) You can fix the size of the spatial mask a 3 x3 but the ceefliacicnts need to be variables that can be input into your program. This peogram shouild be gemeric Wrie your ow code to perform the mathematical steps involved in the peocodane of ring 2 Implement your code using the masks in figure 3.34 3.32 Implement the two masks in figure 3.41. see below Mask for part 4. Implement high boost filering using the Mask i. Figure 342 with A-e 1, 2.see the fgre bekow Masis for part 4 5. Corment on each simulation and Ceespare the results of 2. 3, and 4 your simulations Shown below for your reference and can be found on http:www.imagcprocessingpace.cDP- 3Edipie book imapes doanloads htm a Show the original image and the modified ene for each simulanion Your code SHOULD be clear and self explanatory. Write your analysis of each silai Yoar HW should be submitted in technical report format.Thait is a clear staicment of the problem, selation, analysis and discussion of the results, Make sure to trefienence any material you have used outside the textbook and or MATLAB dequmentation Fig0121 (a)

Answer 1

close all,
clear all,
clc,

ProjectPath = pwd;
ROW = 128; COL=128;

ImagePath = strcat(ProjectPath,'\Leena.jpg');
Orig = imread(ImagePath);
Gray = rgb2gray(Orig);
subplot(2,3,1); imshow(Gray); title('Original Image');

Mask = [-1,-1,-1;-1,0,-1;-1,-1,-1];
Mask_1_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,2); imshow(Mask_1_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

Mask = [0,-1,0;-1,5,-1;0,-1,0];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

figure,
A=0;
Mask = [0,-1,0;-1,A-4,-1;0,-1,0];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

Mask = [-1,-1,-1;-1,A-4,-1;-1,-1,-1];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

figure,
A=1;
Mask = [0,-1,0;-1,A-4,-1;0,-1,0];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

Mask = [-1,-1,-1;-1,A-4,-1;-1,-1,-1];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

figure,
A=2;
Mask = [0,-1,0;-1,A-4,-1;0,-1,0];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);

Mask = [-1,-1,-1;-1,A-4,-1;-1,-1,-1];
Mask_2_Filter_Image = imfilter(Gray,Mask);
subplot(2,3,3); imshow(Mask_2_Filter_Image); str = strcat('Filter Image Mask',num2str(Mask)); title(str);