Statistical Shape Analysis: With Applications in RA 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 highlyregarded `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 handson analysis. Statistical Shape Analysis: with Applications in R will offer a valuable introduction to this fastmoving 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  
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 
Other editions  View all
Statistical Shape Analysis: With Applications in R Ian L. Dryden,Kanti V. Mardia Limited preview  2016 
Statistical Shape Analysis: With Applications in R Ian L. Dryden,Kanti V. Mardia Limited preview  2016 