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Visual Motion of Curves and Surfaces

by Roberto Cipolla, Peter Giblin

ISBN-10: 052163251X
ISBN-10: 0-521-63251-X
ISBN-13: 9780521632515
ISBN-13: 978-0-521-63251-5
Hardcover
2000-01-13
Cambridge University Press


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Editorials


Product Description
The world is full of objects, many of which are visible to us as surfaces. Examples are people, cars, machines, computers and bananas. Exceptions are such things as clouds and trees, which have a more detailed, fuzzy structure. Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some ways mimicking the way in which humans reconstruct features of the world around them by using their eyes. This book describes how the 3D shape of surfaces can be recovered from image sequences of outlines. Cipolla and Giblin provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, and emphasizes intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations, and apply the methods to data from real images.

Reviews


A useful combination of tutorial and monograph.
The authors of this book explore the state of the art in reconstruction from silhouettes. This is a task that appears easy for humans, but has proved very difficult to emulate in the computer. I found the book to be an enjoyable introduction to one of those areas of computer vision about which one ought to know, but has never really had the time to explore.

The first part is a thorough theoretical analysis of the problem. Despite its mathematical sophistication, this is nevertheless clear and readable, helped considerably by the fine tutorial on differential geometry which begins the book. This tutorial, and the introduction to the apparent contour which it precedes, serves as a useful reference in its own right. However, the reader who has had no previous experience of differential geometry will probably also require a more sedate introduction.

Welcome is the emphasis on practical implementations of the theory, which has often been neglected in this area. The authors demonstrate algorithms for reconstruction from known, unknown, and constrained motion, with impressive results.



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