Some Aspects of Random Shapes

  • Herbert Ziezold


Given x l, ... , x k in R m , the shape of x = (x 1, ... , x k ) is the equivalence class of x modulo similarity transformations in R m . Several metrics on the shape spaces will be introduced. This gives the opportunity to work with mean shapes and to use multivariate statistics, e. g. multidimensional scaling, and nonparametric statistics, e. g. discriminance analysis, for data analysis. Some connections to differential geometry and diffusion processes are also given.


Stereographical Projection Shape Space Hyperbolic Geometry Riemannian Structure Centered Configuration 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Herbert Ziezold
    • 1
  1. 1.Fachbereich Mathematik/InformatikUniversität KasselKasselGermany

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