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Visual Motion of Curves and Surfaces Hardcover – 9 Dec 1999

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Product details

  • Hardcover: 194 pages
  • Publisher: Cambridge University Press (9 Dec. 1999)
  • Language: English
  • ISBN-10: 052163251X
  • ISBN-13: 978-0521632515
  • Product Dimensions: 17.4 x 1.3 x 24.7 cm
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 2,357,469 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Product Description


Review of the hardback: 'The theoretical material of the book is important, and this accessible presentation of it is of great value to anyone seriously interested in developing ideas about the visual perception of surfaces.' David Young, AISB Quarterly

Book Description

This book describes how the 3D shape of surfaces can be recovered from image sequences of 'outlines'. It supplies the necessary background in differential geometry and in the analysis of visual motion. The result is a thorough introduction to the mathematical techniques with details of the implementations for practical applications.

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2 of 2 people found the following review helpful By on 13 Mar. 2000
Format: Hardcover
This book considers the problem of reconstructing surfaces from visual contours. It is written by two leading authorities on the topic, and is generally lucidly and clearly written. The book is extensively illustrated throughout (although a few more diagrams would have been even more helpful), and the typography is excellent. The book is quite terse and requires the reader to concentrate carefully.
Chapter 1 gives some background to the problem, and Chapter 2 discusses the necessary differential geometry - the authors have attempted to make their book mathematically self-contained. Chapter 3 discusses projections, and how apparent contours arise in views of curves and surfaces. The other three chapters go on to cover analysis of apparent contours in a series of views, reconstruction of surfaces from such a series when the viewer's motion is known, and recovery of viewer motion from the series when it is not.
Chapter 2 is of interest in that it not only covers standard surface differential geometry, but also links it in to singularity theory. This material is of general use to people using surfaces in such areas as computer vision and CAD.
One interesting feature of Chapter 3 is the alternative proofs of various statements, based on: special co-ordinate systems, vector methods, or "pure" geometric proofs, each of which has their own advantages. At times the exposition is a little laboured, repeating very similar proofs for parallel and perspective projections, when maybe an approach based on homogeneous co-ordinates could have despatched both cases at once.
Chapters 4-6 require careful study after reading Chapters 1-3. The book is definitely not written in such a way that the reader can dip into it and select topics of interest.
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Most Helpful Customer Reviews on (beta) 1 review
7 of 8 people found the following review helpful
A useful combination of tutorial and monograph. 13 Mar. 2000
By Andrew Fitzgibbon - Published on
Format: Hardcover
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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