- Series: Springer Series in Statistics
- Hardcover: 447 pages
- Publisher: Springer; 1st ed. 2016 edition (October 3, 2016)
- Language: English
- ISBN-10: 149394018X
- ISBN-13: 978-1493940189
- Product Dimensions: 7 x 1 x 10 inches
- Shipping Weight: 2.3 pounds (View shipping rates and policies)
- Average Customer Review: 5.0 out of 5 stars See all reviews (2 customer reviews)
- Amazon Best Sellers Rank: #391,458 in Books (See Top 100 in Books)
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Functional and Shape Data Analysis (Springer Series in Statistics) 1st ed. 2016 Edition
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From the Back Cover
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, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad range of ideas covered―from introductory theory to algorithmic implementations and some statistical case studies―is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges.
Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves―in one, two, and higher dimensions―both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation.
- Presents a complete and detailed exposition on statistical analysis of shapes that includes appendices, background material, and exercises, making this text a self-contained reference
- Addresses and explores the next generation of shape analysis
- Focuses on providing a working knowledge of a broad range of relevant material, foregoing in-depth technical details and elaborate mathematical explanations
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