Reducing the spatial resolution of an image is equivalent to reducing its sampling rate. This lowers the image size and causes a checkboard effect. The program takes an input image, reduces its sampling rate by a specified factor, then reshapes the low-resolution image back to the original size to clearly show the checkboard effect. It displays the original, low-resolution, and reshaped images to demonstrate the effects of lowering spatial resolution.

1. Effects Of Reducing Spatial Resolution

2. Spatial Resolution Equivalent to reduction in sampling rate. Due to the reduction in sampling rate, image size gets reduced. Check board effect. Image reshaping is done for clear view of check board effect.

3. Input Image

4. After Reducing Sampling Rate… INPUT 256 X 256 Factor-2 Factor-4

5. Effects After Reshaping….

6. Cont…

7. Program Flow Get image & Reduction factor. Reduce the sampling rate accordingly. Reshape the resultant image back to its original size.

8. Program.. clc; clear all; close all; %GET IMAGE,REDUCTION FACTOR & CONVERT TO GRAY SCALE s=input('Enter image location:','s'); factor=input('Enter reduction factor:'); inp_img=imread(s); check_rgb=isrgb(inp_img); if check_rgb==1 gry_map=rgb2gray(inp_img); else gry_map=imread(s); end gry_size=size(gry_map); inp_width=gry_size(1,1); inp_height=gry_size(1,2); figure(1); imshow(gry_map); title(['GIVEN INPUT IMAGE : ',num2str(inp_width),'x',num2str(inp_height)]);

9. Cont… %REDUCING SAMPLING RATE for i=0:(inp_width/factor)-1 for j=0:(inp_height/factor)-1 out(i+1,j+1)=gry_map(factor*i+1,factor*j+1); end end out_size=size(out); out_width=out_size(1,1); out_height=out_size(1,2); figure(2); imshow(out); title(['Resized Image']);

10. Cont.. %RESHAPING for i=0:out_width-1 for j=0:out_height-1 for x=0:factor-1 for y=0:factor-1 final_out(factor*i+x+1,factor*j+y+1)=out(i+1,j+1); end end end end figure(3); imshow(final_out); out_size=size(out); final_out_size=size(final_out); disp(final_out_size); final_out_width=final_out_size(1,1); final_out_height=final_out_size(1,2); title(['AFTER REDUCING SPATIAL RESOLUTION BY FACTOR :',num2str(factor)]);