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[Read.s7LG] An Invariant Approach to Statistical Analysis of Shapes

[Read.s7LG] An Invariant Approach to Statistical Analysis of Shapes

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Book Details :
Published on: 2001-01-19
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Original language: English

Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form , defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to succeed, it needs techniques that not only satisfy mathematical and statistical rigor but also attend to the scientific issues. An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. They present the history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for choosing landmark coordinates as a preferred data type. They describe the statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and reflection of the objects introduce infinitely many nuisance parameters. The most fundamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, classification, clustering, and asymmetry.Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological form. With the advantage of dual perspectives, An Invariant Approach to the Statistical Analysis of Shapes stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists. Time Series Analysis for Business Forecasting Balancing Success in Business Without metrics management can be a nebulous if not impossible exercise. How can we tell if we have met our goals if we do not know ... Template:Business Analysis Guidebook/Print version ... This is the print version of Business Analysis Guidebook You won't see this message or any elements not part of the book's content when you print or preview this page. Extracting insights from the shape of complex data using ... This paper applies topological methods to study complex high dimensional data sets by extracting shapes (patterns) and obtaining insights about them. Our method ... Papers Using Special Mplus Features - statmodel.com Papers Using Special Mplus Features. References on this page are ordered by topic. References can also be viewed ordered by date. Bayesian Analysis expand topic ... Geometric Morphometrics: Ten Years of Progress Following ... Note: please do not cite the online version of this ms. It was published in 2004 in a special issue of the Italian Journal of Zoology along with papers by the ... IEEE Xplore: IEEE Transactions on Pattern Analysis and ... The IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI) is published monthly. Its editorial board strives to present most important research ... Topological data analysis - Wikipedia In applied mathematics topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information from ... Research Institute for Mathematical Sciences Workshop on the Boltzmann Equation Microlocal Analysis and Related Topics Location Kyoto University Clock Tower Centennial Hall Period: 2016-05-27--2016-05-29 Accepted Papers ICML New York City Stochastically Transitive Models for Pairwise Comparisons: Statistical and Computational Issues Nihar Shah UC Berkeley Sivaraman Balakrishnan CMU Aditya Guntuboyina ... Shape - Wikipedia A more flexible definition of shape takes into consideration the fact that realistic shapes are often deformable e.g. a person in different postures a tree bending ...
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