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
Acknowledgements for the first edition  
Size measures and shape coordinates  
Manifolds shape and sizeandshape  
Shape space  
Manifold means  
Procrustes analysis  
2D Procrustes analysis using complex arithmetic  
Shape and sizeandshape distributions  
Offset normal shape distributions  
Deformations for size and shape change  
Nonparametric inference and regression  
Sizeandshape space  
Unlabelled sizeandshape and shape analysis  
Euclidean methods  
Curves surfaces and volumes  
Tangent space inference  
Shape in images  
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 