Visual Motion of Curves and Surfaces

This book describes how to reconstruct 3D surfaces from images, using geometry, with applications to computer vision.

Roberto Cipolla (Author), Peter Giblin (Author)

9780521632515, Cambridge University Press

Hardback, published 9 December 1999

194 pages
24.4 x 17 x 1.3 cm, 0.51 kg

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

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.

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.

Subject Areas: Computer vision [UYQV], Geometry [PBM]