Description
Book SynopsisPioneered by David Kendall, the statistical theory of shape is an emerging area generating considerable interest for statisticians, engineers, and computer scientists. Co--written by Dr. Kendall, this volume presents a coherent theory of shape developed from Kendalla s own approach known as static and kinematic theory.
Trade Review"This is a fascinating book mixing geometry, topology and probability theory..." (
London Mathematical Society Bulletin, Vol 32, 2000)
"The potential value that his volume should have to researchers in many areas for years to come." (Short Book Reviews, August 2000)
"I would like to conclude this review by strongly recommending that geodists have this book on desk within ready reach of hands" (Journal of Geodesy, Vol. 75, 2001)
"...a mathematical jewel..." (Mathematical Reviews, 2003g)
Table of ContentsShapes and Shape Spaces.
The Global Structure of Shape Spaces.
Computing the Homology of Cell Complexes.
A Chain Complex for Shape Spaces.
The Homology Groups of Shape Spaces.
Geodesics in Shape Spaces.
The Riemannian Structure of Shape Spaces.
Induced Shape-Measures.
Mean Shapes and the Shape of the Means.
Visualising the Higher Dimensional Shape Spaces.
General Shape Spaces.
Appendix.
Bibliography.
Index.
