# hw4 - CSE166 Image Processing Homework#4 Instructor Prof...

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CSE166 – Image Processing – Homework #4 Instructor: Prof. Serge Belongie http://www-cse.ucsd.edu/classes/fa06/cse166 Due (in class) 11:00am Thursday Oct. 26, 2006. Reading GW 6.0-6.2. General Homework Guidelines Use the Cover Sheet provided. Please attach all code that you use. Attach code at end of submission. In general try to keep your answers concise. Use as many words as you need and no more. Also work on your presentation skills. This means organize your plots and displays. Always use titles and add captions when appropriate. Points will be awarded for clarity and presentation. Written exercises 1. GW, Problem 6.4. 2. GW, Problem 6.5. 3. GW, Problem 6.6. 4. GW, Problem 6.7. 5. GW, Problem 6.12. Matlab exercises 1. Gabor Functions In 1D, the Gabor function of width σ and spatial frequency u o is given by the following complex-valued function: h ( x ) = e - x 2 / 2 σ 2 e j 2 πu o x In 2D, the corresponding expression is h ( x ) = e -k x k 2 / 2 σ 2 e j 2 π u o · x where x = ( x, y ) and u o = ( u o , v o ), and it serves as an oriented bandpass ﬁlter. The even and odd Gabor functions are equal to the real and imaginary parts of h , respectively. (a) Compute eight examples of even and/or odd 1D Gabor functions on the interval

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hw4 - CSE166 Image Processing Homework#4 Instructor Prof...

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