# Statistical Shape Analysis: With Applications in R

John Wiley & Sons, Jun 28, 2016 - Mathematics - 496 pages

A thoroughly revised and updated edition of this introduction to modern statistical methods for shape analysis

Shape analysis is an important tool in the many disciplines where objects are compared using geometrical features. Examples include comparing brain shape in schizophrenia; investigating protein molecules in bioinformatics; and describing growth of organisms in biology.

This book is a significant update of the highly-regarded `Statistical Shape Analysis’ by the same authors. The new edition lays the foundations of landmark shape analysis, including geometrical concepts and statistical techniques, and extends to include analysis of curves, surfaces, images and other types of object data. Key definitions and concepts are discussed throughout, and the relative merits of different approaches are presented.

The authors have included substantial new material on recent statistical developments and offer numerous examples throughout the text. Concepts are introduced in an accessible manner, while retaining sufficient detail for more specialist statisticians to appreciate the challenges and opportunities of this new field. Computer code has been included for instructional use, along with exercises to enable readers to implement the applications themselves in R and to follow the key ideas by hands-on analysis.

Statistical Shape Analysis: with Applications in R will offer a valuable introduction to this fast-moving research area for statisticians and other applied scientists working in diverse areas, including archaeology, bioinformatics, biology, chemistry, computer science, medicine, morphometics and image analysis

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### Contents

 1 Introduction 1 2 Size measures and shape coordinates 31 3 Manifolds shape and sizeandshape 59 4 Shape space 69 5 Sizeandshape space 99 6 Manifold means 111 7 Procrustes analysis 125 8 2D Procrustes analysis using complex arithmetic 175
 14 Unlabelled sizeandshape and shape analysis 341 15 Euclidean methods 353 16 Curves surfaces and volumes 363 17 Shape in images 377 18 Object data and manifolds 391 Exercises 399 Appendix 403 References 407

 9 Tangent space inference 185 10 Shape and sizeandshape distributions 217 11 Offset normal shape distributions 239 12 Deformations for size and shape change 269 13 Nonparametric inference and regression 317
 Index 449 WILEY SERIES IN PROBABILITY AND STATISTICS 455 Supplemental Images 467 EULA 483 Copyright