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Chapter 7 Case Study 1: Image Deconvolution

Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

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Page 1: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Chapter 7

Case Study 1: Image Deconvolution

Page 2: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Different Types of Image Blur• Defocus blur --- Depth of field effects• Scene motion --- Objects in the scene moving• Camera shake --- User moving hands

Page 3: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Image formation model: Convolution

Page 4: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Blind vs. non-blind deconvolution

Page 5: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Image deconvolution is ill-posed

Page 6: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Why is this hard?

Page 7: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Case study 1: Deblurring with Blind Deconvolution

Page 8: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Probabilistic Model of Image Formation

Page 9: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Deconvolution with prior

Page 10: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Likelihood P(Y | K, X)

Page 11: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Image prior P(X): Use parametric model (mixture of Gaussians) of sharp image statistics

Blurry images have different statistics

Page 12: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Blur prior P(K): Positive and Sparse

Page 13: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

The obvious thing to do: a MAP Solver

No success!

Page 14: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Deconvolution with prior using Variational Bayesian approach

Page 15: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Deconvolution with prior using Variational Bayesian approach

Page 16: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Preprocessing

Page 17: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Initialization

Page 18: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Inferring the kernel: multiscale method

Page 19: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Image Reconstruction

Page 20: Chapter 7 Case Study 1: Image Deconvolution. Different Types of Image Blur Defocus blur --- Depth of field effects Scene motion --- Objects in the scene

Case study 2: Motion deblurringfrom a single image