Visual Motion of Curves and Surfaces

Roberto Cipolla (University of Cambridge), Peter Giblin (University of Liverpool)

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English

Cambridge University Press
06 August 2009

Geometry; Algebraic geometry; Computer vision

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising 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 using the most current techniques.

By: Roberto Cipolla (University of Cambridge), Peter Giblin (University of Liverpool)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 244mm, Width: 170mm, Spine: 11mm
Weight: 320g
ISBN: 9780521118187
ISBN 10: 0521118182
Pages: 196
Publication Date: 06 August 2009
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Introduction; 2. Differential geometry of curves and surfaces; 3. Views of curves and surfaces; 4. Dynamic analysis of apparent contours; 5. Reconstruction of surfaces from a family of views; 6. Recovery of viewer motion from apparent contours; Bibliography; Index.

Reviews for Visual Motion of Curves and Surfaces

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 The geometry of curves and surfaces is described clearly, with wonderfully apropos figures and carefully consistent notation throughout....the material has a certain beauty to it, which they draw out nicely. Computing Reviews