Functional and Shape Data Analysis

Inbunden, Engelska, 2016

AvAnuj Srivastava,Eric P. Klassen

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This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference.

Produktinformation

Utgivningsdatum2016-10-03
Mått178 x 254 x 33 mm
Vikt1 058 g
FormatInbunden
SpråkEngelska
SerieSpringer Series in Statistics
Antal sidor447
FörlagSpringer-Verlag New York Inc.
ISBN9781493940189

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Anuj Srivastava is a Professor in the Department of Statistics and a Distinguished Research Professor at Florida State University. His areas of interest include statistical analysis on nonlinear manifolds, statistical computer vision, functional data analysis, and statistical shape theory. He has been the associate editor for the Journal of Statistical Planning and Inference, and several IEEE journals. He is a fellow of the International Association of Pattern Recognition (IAPR) and a senior member of the Institute for Electrical and Electronic Engineers (IEEE).Eric Klassen is a Professor in the Department of Mathematics at Florida State University. His mathematical interests include topology, geometry, and shape analysis. In his spare time, he enjoys playing the piano, riding his bike, and contra dancing.

1. Motivation for Function and Shape Analysis.- 2. Previous Techniques in Shape Analysis.- 3. Background: Relevant Tools from Geometry.- 4. Functional Data and Elastic Registration.- 5. Shapes of Planar Curves.- 6. Shapes of Planar Closed Curves.- 7. Statistical Modeling on Nonlinear Manifolds.- 8. Statistical Modeling of Functional Data.- 9. Statistical Modeling of Planar Shapes.- 10. Shapes of Curves in Higher Dimensions.- 11. Related Topics in Shape Analysis of Curves.- A. Background Material.- B. The Dynamic Programming Algorithm.- References.- Index.