An Invariant Approach to Statistical Analysis of Shapes

ISBN-13: 9780849303197 / Angielski / Twarda / 2007 / 322 str.

Subhash Lele; Joan T. Richtsmeier

Opis

An Invariant Approach to the Statistical Analysis of Shapes results fr om a long and fruitful collaboration between a mathematical statistici an and a biologist. Together they have developed a methodology that ad dresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with res pect to the arbitrary choice of the coordinate system. They present th e history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for ch oosing landmark coordinates as a preferred data type. They describe th e statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and refl ection of the objects introduce infinitely many nuisance parameters. T he most funamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, c lassification, clustering, and asymmetry.

Spis treści

"Foundations of Morphometrics. Morphometric Data. Statistical Models and Inference for Landmark Coordinate Data. Comparison of Form. Studying Growth. Classification, Clustering, and Other Applications.

O autorze

Lele, Subhash R.; Richtsmeier, Joan T.