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UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Digital Image Processing
Lab Manual No 03

Dated:
31st August, 2015 to 04th September, 2015

Semester:
Autumn 2015

Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Farwa

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Objectives:The objectives of this session is to understand following.





Image Resizing
Image Interpolation
Relationships between pixels
Distance Transform

Image Resizing:Resizing an image consists of enlarging or shrinking it, using nearest-neighbor, bilinear, or bicubic interpolation. Both resizing procedures can be executed using the imresize function. Let us first explore enlarging an image.
Enlarge the cameraman image by a scale factor of 3. By default, the function uses bicubic interpolation. I=imread('cameraman.tif');
I_big1 = imresize(I,3); figure, imshow(I), title(’Original Image’); figure, imshow(I_big1), interpolation’); title(‘Enlarged

Image

using

bicubic

Use the imtool function to inspect the resized image, I_big1.
Scale the image again using nearest-neighbor and bilinear interpolations.
I_big2 = imresize(I,3,’nearest’);
I_big3 = imresize(I,3,’bilinear’); figure, imshow(I_big2),title(‘Resized interpolation’); figure, imshow(I_big3), interpolation’);

Digital Image Processing
Session:-2012 Computer

using

title(‘Resized

nearest-neighbor using bilinear

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Question 1:Visually compare the three resized images. How do they differ?
Close any open figures.
Reduce the size of the cameraman image by a factor of 0.5 in both dimensions.
I_rows = size(I,1);
I_cols = size(I,2);
I_sm1 = I(1:2:I_rows, 1:2:I_cols); figure, imshow(I_sm1);
Although the technique above is computationally efficient, its limitations may require us to use another method. Just as we used the imresize function for enlarging, we can just as well use it for shrinking. When using the imresize function, a scale factor larger than 1 will produce an image larger than the original, and a scale factor smaller than 1 will result in an image smaller than the original. Shrink the image using the imresize function.
I_sm2 = imresize(I,0.5,’nearest’);
I_sm3 = imresize(I,0.5,’bilinear’);
I_sm4 = imresize(I,0.5,’bicubic’); figure, subplot(1,3,1),imshow(I_sm2),title(’Nearest-neighbor
Interpolation’);
subplot(1,3,2), imshow(I_sm3), title(’Bilinear Interpolation’); subplot(1,3,3), imshow(I_sm4), title(’Bicubic Interpolation’);
Image Interpolation:When a small image is enlarged, for example if an image is zoomed to 400% shown in Fig. 1. the color values of original 4 adjacent pixels marked A, B, C, and D in (a) were filled in the new A,
Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

B, C, and D locations in (b) accordance with the magnification factor. But there are a large number of pixels which values are unknown between A, B, C, and D such as P so the values of these pixels should be calculated through interpolating estimation.

Figure 1
Nearest Neighbor Interpolation:In nearest neighbor interpolation algorithm, the position of pixel P in the magnified image is converted into the original image, and the distance between P and its neighbor points A, B, C and
D were calculated. Then the color values of pixel P was set as the values of the pixel which was nearest to P.
In Fig. 2, suppose ( i, j ) , ( i, j + 1) , ( i+ 1, j ) and ( i+ 1,j + 1) are the 4-neighbor points, and there values are f( i, j ) , f( i, j + 1) , f( i+ 1, j ) and f( i+ 1,j + 1). The distance between (u,v) and
( i, j ) , ( i, j + 1) , ( i+ 1, j ) and ( i+ 1,j + 1) were calculated, then the values of (u,v) was set as the value of the point which is nearest to (u,v).

Figure 2
Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Lab Task:Write a MATLAB code to interpolate an image using Nearest
Neighbor Interpolation Algorithm.
Basic Relationship between Pixels:The 4- neighbors of pixel p are: N4(p)
Any pixel p(x,y) has two vertical and two horizontal neighbors, given by:

The 4- diagonal neighbors are: ND(p) given by:

The 8-neighbors are : N8(p) 8-neighbors of a pixel pare its vertical, horizontal and 4 diagonal neighbors denoted by N8(p).

Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Connectivity:Two pixels are said to be connected if they are adjacent in some sense.



They are neighbors (N4, ND, N8) and
Their intensity values (gray levels) are similar.

Adjacency:Let V be the set of intensity used to define adjacency; e.g. V={1} in a binary image or
V={100,101,102,…,120} inn a gray-scale image.
We consider three types of adjacency:
4-adjacency:Two pixels p and q with values from V are 4-adjacent if q is in the set N4(p).

8-adjacency:Two pixels p and q with values from V are 8-adjacent if q is in the set N8(p).

Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

Lab Task:a. Consider the two image subsets, S1 and S2, shown in the following figure. For V={1}, determine whether these two subsets are
(a)
4-adjacent,
(b)
8-adjacent

b. If the set V= {1, 2} then check whether the following is 4 adjacent or 8 adjacent.

Distance Measures:Distance between two pixels p and q having co-ordinates (x,y) and (s,t) have following different
Distance measures.

Euclidean Distance:De(p, q) = [(x-s)^2 + (y-t)^2]^1/2
Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

UNIVERSITY OF ENGINEERING AND TECHNOLOGY, TAXILA
FACULTY OF TELECOMMUNICATION AND INFORMATION ENGINEERING
COMPUTER ENGINEERING DEPARTMENT

City Block Distance:D4(p, q) = |x-s| + |y-t|
Chess Board Distance:D8(p, q) = max(|x-s|, |y-t|)
In MATLAB there is a function named bwdist which is used to calculate the distance transform.
Syntax:D = bwdist(BW)
D = bwdist(BW) computes the Euclidean distance transform of the binary image BW. For each pixel in BW, the distance transform assigns a number that is the distance between that pixel and the nearest nonzero pixel of BW. bwdist uses the Euclidean distance metric by default. BW can have any dimension. D is the same size as BW.
Explore the MATLAB help for bwdist function for more understanding.
Lab Task:1. Read at-least 3 built-in images of MATLAB and apply the distance transform function on the images using Euclidean, city-block and chess board distance measures. Comment on the output.

Digital Image Processing
Session:-2012 Computer

Lab Instructor:-Engr. Aamir Arsalan

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