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**Morphometric tools for landmark data: geometry and biology.**
*(English)*
Zbl 0770.92001

Cambridge: Cambridge University Press. xvii, 435 p. (1991).

Morphometrics is the statistical study of biological shape and shape change. Its richest data are landmarks, points such as “the bridge of the nose” that have biological names as well as geometric locations. This book is the first systematic survey of morphometric methods for landmark data. The methods presented here combine conventional multivariate statistical analysis with themes from plane and solid geometry and from biomathematics to support biological insights into the features of many different organs and organisms.

The book begins with a review of the fundamentals of landmarks and a discussion of the thin-plate spline, a new, statistically tractable implementation of the old model of shape change as deformation. This is followed by a critical survey of conventional multivariate morphometrics. Coordinates for representing landmark configurations without reference to size are then introduced, and their multivariate statistics explored in full.

The second half of the book is a survey on the most general and powerful new methods for describing the results of these analyses for both simple and complex landmark configurations. Using diagrams linked to biological interpretation, the text explains and interrelates the geometric features by which morphometric findings can be rendered legible. New tools are demonstrated using a variety of data sets from evolutionary biology, micropaleontology, neuroanatomy and craniofacial growth.

The book begins with a review of the fundamentals of landmarks and a discussion of the thin-plate spline, a new, statistically tractable implementation of the old model of shape change as deformation. This is followed by a critical survey of conventional multivariate morphometrics. Coordinates for representing landmark configurations without reference to size are then introduced, and their multivariate statistics explored in full.

The second half of the book is a survey on the most general and powerful new methods for describing the results of these analyses for both simple and complex landmark configurations. Using diagrams linked to biological interpretation, the text explains and interrelates the geometric features by which morphometric findings can be rendered legible. New tools are demonstrated using a variety of data sets from evolutionary biology, micropaleontology, neuroanatomy and craniofacial growth.

Reviewer: T.Postelnicu (Bucureşti)

### MSC:

92B05 | General biology and biomathematics |

92-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology |

92-02 | Research exposition (monographs, survey articles) pertaining to biology |