A8: Morphological Operations

8


Answers to questions:

1. XOR corresponds to the complement of the union of A and B
2. NOT(A) and B corresponds to the intersection of the (complement of A) and (B)

Dilation and Erosion





















The fihures above are the images to be eroded and dilated with a 4 by 4, 4 by 2, 2 by 4 ones and a cross 5 pixels long and 1 pixel thick.

The results for erosion are the following images corresponding to their original image.

Eroded image of a square

Eroded image of a triangle

Eroded image of a circle

Eroded image of a cross

The eroded images not only followed the shape of the patterns but also reduced its size. In my predictions, I only accounted for the decrease in the size.


The results for dilation are the following images corresponding to their original image.

Dilated image of a square

Dilated image of a triangle

Dilated image of a circle

Dilated image of a cross

The dilated image as predicted inreased in size but again, the shape of the pattern follow by the image was not accounted in the predictions.

Rating: i'll give myself 8 points. I did this activity alone and I missed some of the predicted output.


code:

erosion and dilation: note- just change dilate to erode and vice versa

im=imread('C:\Documents and Settings\Instru\Desktop\a8_cross.bmp');
a1=[1 1 1 1; 1 1 1 1; 1 1 1 1; 1 1 1 1];
a2=[1 1 1 1; 1 1 1 1];
a3=[1 1; 1 1; 1 1; 1 1];
a4=[0 0 1 0 0; 0 0 1 0 0; 1 1 1 1 1; 0 0 1 0 0; 0 0 1 0 0];
im1=dilate(im,a1);
im2=dilate(im,a2);
im3=dilate(im,a3);
im4=dilate(im,a4);
subplot(221);
imshow(im1,[]);
subplot(222);
imshow(im2,[]);
subplot(223);
imshow(im3,[]);
subplot(224);
imshow(im4,[]);