Nguyễn Công Phương

DIGITAL IMAGE PROCESSING

Image Restoration and Blind Deconvolution

Contents

Introduction to Image Processing & Matlab Image Acquisition, Types, & File I/O Image Arithmetic

Image Transform Spatial & Frequency Domain Filter Design

Binary Image Processing Image Encryption & Watermarking Image Classification & Segmentation

I. II. III. IV. Affine & Logical Operations, Distortions, & Noise in Images V. VI. VII. Image Restoration & Blind Deconvolution VIII. Image Compression IX. Edge Detection X. XI. XII. XIII. Image – Based Object Tracking XIV. Face Recognition XV. Soft Computing in Image Processing

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Image Restoration and Blind Deconvolution

1. Introduction 2. Image Representation 3. Deconvolution

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Introduction

• Image enhancement (improving image quality

for visual purposes) includes: – Noise removal, – Constrast stretching, – Histogram equalization, – Filtering, – Restoration through deconvolution.

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Image Representation (1)

g m n , )

(

f H   

m n ( , )

f m n , )

(

Σ

Defection function H(m, n, θ)

f H

( )k

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Image Representation (2)

Motion – blurred

Out-of-focus blurred

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Image Restoration and Blind Deconvolution

1. Introduction 2. Image Representation 3. Deconvolution

a. Lucy – Richardson Method b. Wiener Method c. Blind Method

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Deconvolution

• The reverse of convolution. • A.k.a. “inverse filtering”.

Fourier transform

g

h

f

  

G HF 

1

f

 F D G

Inverse Fourier transform 

• 3 main types of deconvolution algorithms:

– Lucy – Richardson method, – Wiener method, – Blind method.

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Lucy – Richardson Method

t

1t 

f

f

t

h

 h  

 g  f 

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Wiener Method

W

* H F 2

H F N

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Blind Deconvolution

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