Morphometric Tools for Landmark Data
Geometry and Biology

This first systematic survey of the subject combines multivariate statistical analysis, geometry, and biomathematics.

Fred L. Bookstein (Author)

9780521585989, Cambridge University Press

Paperback, published 28 June 1997

456 pages, 102 b/w illus.
25 x 17.7 x 2.4 cm, 0.815 kg

"Bookstein, through his strong personality and energy, has made the field of morphometrics very visible and has particulary made statisticians aware of the potential of the field for both statistical as well as scientific research...I would like to praise the author for making statisticians aware of the important field of morphometrics and for 'making us think'." Subhash Lele, Journal of the American Statistical Association

Morphometrics is the statistical study of biological shape and shape change. Its richest data are landmarks, points such as 'the bridge of the nose' that have biological names as well as geometric locations. This book is the first systematic survey of morphometric methods for landmark data. The methods presented here combine conventional multivariate statistical analysis with themes from plane and solid geometry and from biomathematics to support biological insights into the features of many different organs and organisms. This book will be of value to applied statisticians and geometers, as well as to all biological and biomedical researchers who need quantitative analyses of information from biomedical images.

1. Introduction
2. Preliminaries
3. Landmarks
4. Distance measures
5. Shape coordinates
6. Principal axes of shape change for triangles
7. Features of shape comparison
8. Retrospect and prospect.

Subject Areas: Maths for engineers [TBJ], Maths for scientists [PDE], Geometry [PBM]