Project II - ProjectII(MathModelingII,Fall2010)

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Project II (Math Modeling II, Fall 2010) Image De Noising via Energy Functional Method The starting point of this project is the influential paper of Rudin, Osher, and Fameti (can be downloaded from the course web site (i.e., the one referred to as the ROF paper). The paper has been cited more than 3000 times (and still counting)! This project will require to study and work out the details of Section 2 of this classical paper, implement the basic algorithm, and explore the extensions. Requirements: (i) Must be submitted in research report format (ii) Email programs in a single zipped file to me (iii) Prepare a 5 8 min presentation (to be presented at a later date) (iv) Must be working in groups of two. 1. Problem formulation. Assume an image is given by a function u(x,y) defined on a two dimensional region , usually a rectangle [a,b]×[c,d]: u: Ω → [0,1]. We can only observe a noisy version of u(x,y), u 0 (x,y) as u 0 (x,y)=u(x,y)+n(x,y) where n(x,y) is a noise term with mean zero and variance
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This note was uploaded on 11/27/2011 for the course MATH 3484 taught by Professor Staff during the Fall '10 term at University of Central Florida.

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Project II - ProjectII(MathModelingII,Fall2010)

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