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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/fa1l/cse166-a Due (in class) 12:00pm Friday Nov. 4, 2011. Reading GW Second and Third Edition 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 Second and Third Edition, Problem 6.4. 2. GW Second and Third Edition, Problem 6.5. 3. GW Second and Third Edition, Problem 6.6. 4. GW Second and Third Edition, Problem 6.7. 5. GW Second and Third Edition, 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 - x 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
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