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Generalized Matryoshka: Computational Design of Nesting Objects
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
This paper generalizes the self-similar nesting of Matryoshka dolls (''Russian nesting dolls'') to arbitrary solid objects. We introduce the problem of finding the largest scale replica of an object that nests inside itself. ...
A Dirac Operator for Extrinsic Shape Analysis
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
The eigenfunctions and eigenvalues of the Laplace-Beltrami operator have proven to be a powerful tool for digital geometry processing, providing a description of geometry that is essentially independent of coordinates or ...