From Biostereometrics To The Comprehension Of Form

Fred L. Bookstein

doi:10.1117/12.956930

29 July 1980 From Biostereometrics To The Comprehension Of Form

Fred L. Bookstein

Proceedings Volume 0166, NATO Symposium on Applications of Human Biostereometrics; (1980) https://doi.org/10.1117/12.956930
Event: NATO Symposium on Applications of Human Biostereometrics, 1978, Paris, France

Abstract

Biostereometrics transcribes a biological surface into a large sample of coordinate triples for the ordinary points borne there. For measurement of shape, the accidents of this sampling must be eliminated and the transcription replaced by a few geometric descriptors. More of these latter are available for the task of significant morphometric comparison than the literature acknowledges. For instance, the information to be gleaned from each landmark on the surface includes, in addition to the locus itself, at least eight more parameters of the curving surface there. These concisely represent bulges, ridges, sags, and other ordinary features of form by new tensor descriptors which, though wholly different-looking from the biostereometric coordinate record, derive therefrom. In this analysis, growth is distortion of one surface into another, and its natural descriptor, expressing how all loci are growing apart from each other, is the symmetrized derivative of the distortion mapping.

Citation Download Citation

Fred L. Bookstein "From Biostereometrics To The Comprehension Of Form", Proc. SPIE 0166, NATO Symposium on Applications of Human Biostereometrics, (29 July 1980); https://doi.org/10.1117/12.956930

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