# 3-D Shape Estimation and Image Restoration

## Benefits

• Describes analytical processes

• Delineates the options open to programmers

• Presents original algorithms

• Demonstrates a coherent analytical framework for the analysis and design of algorithms to estimate 3D shape from defocused and blurred images

Book

1. Front Matter
Pages i-xiv
2. Pages 1-13
3. Pages 14-36
4. Pages 50-68
5. Pages 120-146
6. Pages 147-158
7. Pages 159-160
8. Back Matter
Pages 161-249

### Introduction

Images contain information about the spatial properties of the scene they depict. When coupled with suitable assumptions, images can be used to infer three-dimensional information. This useful volume concentrates on motion blur and defocus, which can be exploited to infer the 3-D structure of a scene—as well as its radiance properties—and which in turn can be used to generate novel images with better quality.

3-D Shape Estimation and Image Restoration presents a coherent framework for the analysis and design of algorithms to estimate 3-D shape from defocused and motion blurred images, and to eliminate defocus and motion blur to yield "restored" images. It provides a collection of algorithms that are optimal with respect to the chosen model and estimation criterion.

Topics and Features include:

• Comprehensive introduction to guide readers through the different areas of the topic

• Basic models of image formation

• Discussion of least-squares shape from defocus

• Unifying defocus and motion blur

• Handling multiple moving objects

• Dealing with occlusions

• Appendices supply the necessary background in optimization and regularization

Written for readers with interests in image processing and computer vision and with backgrounds in engineering, science or mathematics, this highly practical text/reference is accessible to advanced students or those with a degree that includes basic linear algebra and calculus courses. It can also be seen as a resource for practitioners looking to expand their knowledge in the subject.

### Keywords

3D 3D Modeling 3D Reconstruction 3D Shape Estimation Computer Graphics Computer Vision Confocal Imaging Deblurring Defocus Image Restoration Motion Blur Optics image processing

#### Authors and affiliations

1. 1.Heriot-Watt UniversityEdinburghUK
2. 2.University of CaliforniaLos AngelesUSA

### Bibliographic information

• Book Title 3-D Shape Estimation and Image Restoration
• Book Subtitle Exploiting Defocus and Motion Blur
• Authors Paolo Favaro
Stefano Soatto
• DOI https://doi.org/10.1007/978-1-84628-688-9
• Copyright Information Springer-Verlag London Limited 2007
• Publisher Name Springer, London
• eBook Packages Computer Science Computer Science (R0)
• Hardcover ISBN 978-1-84628-176-1
• Softcover ISBN 978-1-84996-559-0
• eBook ISBN 978-1-84628-688-9
• Edition Number 1
• Number of Pages XIV, 249
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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## Reviews

"This book presents a framework for estimating three-dimensional (3D) shapes from defocused and motion-blurred images. The book systematically describes various problems involved in estimating 3D shapes, and provides solutions to these problems… The book is well-written, and is equipped with Matlab code that implements the estimators presented in the chapters… I recommend this book to engineers in image processing and computer vision. Readers will learn state-of-the-art methods for shape restoration." (Hsun-Hsien Chang, ACM Computing Reviews, Vol. 49 (9), September 2008)