Pre-symmetry sets of 3D shapes (2005)
by
André Diatta
,
Peter Giblin
| Venue: | In Olsen et al. [33 |
| Citations: | 1 - 1 self |
BibTeX
@INPROCEEDINGS{Diatta05pre-symmetrysets,
author = {André Diatta and Peter Giblin},
title = {Pre-symmetry sets of 3D shapes},
booktitle = {In Olsen et al. [33},
year = {2005},
pages = {36--48}
}
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Abstract
Abstract. We show that the pre-symmetry set of a smooth surface in 3-space has the structure of the graph of a function from R 2 to R 2 in many cases of interest, generalising known results for the pre-symmetry set of a curve in the plane. We explain how this function is obtained, and illustrate with examples both on and off the diagonal. There are other cases where the pre-symmetry set is singular; we mention some of these cases but leave their investigation to another occasion. 1
Citations
| 13 | Transitions of the 3D Medial Axis Under a One-Parameter Family of Deformations, from - Giblin, Kimia - 2002 |
| 9 | Families of maps from the plane to the plane - Rieger - 1987 |
| 8 | 3D symmetry-curvature duality theorems - Yuille, Leyton - 1990 |
| 5 | P.J.Giblin ‘Growth, motion and one-parameter families of symmetry sets - Bruce - 1986 |
| 5 | of shocks and singularities of minimum functions - Bogaevsky |
| 2 | and Affine Symmetry Sets and Medial Axes - Pollitt - 2004 |
| 1 | Geometry of isophote curves’, Scale Space Theory and - Diatta, Giblin - 2005 |
| 1 | A.L.Yuille, P.J.Giblin and D.Mumford, Two and Three - Hallinan - 1999 |
