Functional and Shape Data Analysis

• Main Authors: Srivastava, Anuj (Author), Klassen, Eric P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2016.
• Series: Springer Series in Statistics,
• Subjects: Statistics.; Functional analysis.; Geometry.; Statistical Theory and Methods.; Functional Analysis.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

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. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neurosc...

Table of Contents:

• 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.