An Invariant Approach to Statistical Analysis of Shapes - 9780367397630

CRC Press

\""Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological forms. An Invariant Approach to the Statistical Analysis of Shapes develops 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. With the advantage of the perspectives of both a mathematical statistician and a biologist, this book stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to audiences from both fields. > 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..