Visual Motion of Curves and Surfaces

by Roberto Cipolla, Peter Giblin

Overview

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.

Product Details

ISBN-13:	9780521632515
Publisher:	Cambridge University Press
Publication date:	12/09/1999
Pages:	194
Product dimensions:	6.69(w) x 9.61(h) x 0.51(d)

Table of Contents

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.

Editorial Reviews

"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

From the Publisher