1. S. Mandayam/ DIP/ECE Dept./Rowan University Digital Image Processing 0909.452.01/0909.552.01 Fall 2001 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall01/dip/ Lecture 13 December 10, 2001

2. S. Mandayam/ DIP/ECE Dept./Rowan UniversityPlan Course Review Final Project Presentations Lab

3. S. Mandayam/ DIP/ECE Dept./Rowan University DIP: Details

4. S. Mandayam/ DIP/ECE Dept./Rowan University Recall: DCT Features Fringe Pattern DCT DCT Coefficients Zonal Mask 1 23451 2345 1 2 3 4 5 (1,1) (1,2) (2,1) (2,2). Feature Vector Artificial Neural Network

5. S. Mandayam/ DIP/ECE Dept./Rowan University Image Segmentation Recall: Edge Detection f(x,y) Gradient Mask f e (x,y) -2 0 00 1 21 0 1 -2 02 01

6. S. Mandayam/ DIP/ECE Dept./Rowan University Recall: 1-D DFT Discrete Domains Discrete Time: k = 0, 1, 2, 3, …………, N-1 Discrete Frequency:n = 0, 1, 2, 3, …………, N-1 Discrete Fourier Transform Inverse DFT Equal time intervals Equal frequency intervals n = 0, 1, 2,….., N-1 k = 0, 1, 2,….., N-1

7. S. Mandayam/ DIP/ECE Dept./Rowan University Description: Fourier Descriptors demos/demo8fd/

8. S. Mandayam/ DIP/ECE Dept./Rowan University Image Moments 2-D continuous function f(x,y), the moment of order (p+q) is: Central moment of order (p+q) is:

9. S. Mandayam/ DIP/ECE Dept./Rowan University Image Moments (contd.) Normalized central moment of order (p+q) is: A set of seven invariant moments can be derived from  pq

10. S. Mandayam/ DIP/ECE Dept./Rowan University Image Textures The USC-SIPI Image Database http://sipi.usc.edu/ Grass Sand Brick wall

11. S. Mandayam/ DIP/ECE Dept./Rowan University origin X B Erosion X  B Dilation origin BX Morphological Operations

12. S. Mandayam/ DIP/ECE Dept./Rowan University origin X Opening B origin Closing X B Morphological Operations

13. S. Mandayam/ DIP/ECE Dept./Rowan University Morphological Operations: Matlab BWMORPH Perform morphological operations on binary image. BW2 = BWMORPH(BW1,OPERATION) applies a specific morphological operation to the binary image BW1. BW2 = BWMORPH(BW1,OPERATION,N) applies the operation N times. N can be Inf, in which case the operation is repeated until the image no longer changes. OPERATION is a string that can have one of these values: 'close' Perform binary closure (dilation followed by erosion) 'dilate' Perform dilation using the structuring elementones(3) 'erode' Perform erosion using the structuring elementones(3) 'fill' Fill isolated interior pixels (0's surrounded by1's) 'open' Perform binary opening (erosion followed bydilation) 'skel' With N = Inf, remove pixels on the boundariesof objects without allowing objects to break apart demos/demo9morph/

14. S. Mandayam/ DIP/ECE Dept./Rowan University Lab 4: Digital Image Compression http://engineering.rowan.edu/~shreek/fall01/dip/lab4.html

15. S. Mandayam/ DIP/ECE Dept./Rowan UniversitySummary