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DeNoising-Zhao

# DeNoising-Zhao - Image De-noising Problem Liyue Zhao...

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Liyue Zhao Image De-noising Problem

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Outline Problem Description Definition Proof
Problem

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Problem Description Each image I consists of m by n binary pixels Each pixel I(i,j) corresponding to a boolean variable Each two adjacent pixels are connected with an edge , ij X   , 1,0 X
Problem Goal Given a binary noise image I’ Generate a new binary image I that eliminates the noise in I’ Noise image I’ New image I

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Problem Definition 1 The observation is the value of node of known noise image, and a instant is a function which assigns a value to each variable in the new image
Problem Definition 2 A clique is a complete sub-graph with a set of variables in clique   kk QX 1 i X i X 1 i X i X

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Problem Definition 3 A clique table(CT) T for a variable X with a set of variables in clique Q is a function that maps each instant of Q to a binary value 1 1 1 1 1 1 1 1 i X 1 i X i x i x i x i x 1 i x 1 i x 1 i x 1 i x k Q 1 i X 1 i x 1 i x 1 i x 1 i x 1 i x
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DeNoising-Zhao - Image De-noising Problem Liyue Zhao...

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