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...