Measuring shapes by size functions

Patrizio Frosini

doi:10.1117/12.57059

1 February 1992 Measuring shapes by size functions

Patrizio Frosini

Author Affiliations +

Proceedings Volume 1607, Intelligent Robots and Computer Vision X: Algorithms and Techniques; (1992) https://doi.org/10.1117/12.57059
Event: Robotics '91, 1991, Boston, MA, United States

Abstract

We define the concept of size functions. They are functions from the real plane to the natural numbers which describe the `shape of the objects' (seen as submanifolds of a Euclidean space). We give two different techniques of computation of size functions and some actual examples of computation. Moreover, we present the concept of deformation distance between manifolds (i.e., curves, surfaces, etc.). It is a distance which measures the `difference in shape' of two manifolds. Finally we point out the link between deformation distances and size functions.

Citation Download Citation

Patrizio Frosini "Measuring shapes by size functions", Proc. SPIE 1607, Intelligent Robots and Computer Vision X: Algorithms and Techniques, (1 February 1992); https://doi.org/10.1117/12.57059

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