In this note we show that, for any surface 7 and any k, there are at most finitely many triangulations of 7 such that each edge is in a noncontractible cycle of length k and is in no shorter noncontractible cycle. Such a triangulation is k-irreducible. This is equivalent to the statement that for an
Minimal ordered triangulations of surfaces
✍ Scribed by Zlatan Magajna; Bojan Mohar; Tomaž Pisanski
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 453 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0364-9024
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## Abstract In this paper, we shall show that an irreducible triangulation of a closed surface __F__^2^ has at most __cg__ vertices, where __g__ stands for a genus of __F__^2^ and __c__ a constant. © 1995, John Wiley & Sons, Inc.
Consider a class P of triangulations on a closed surface F 2 , closed under vertex splitting. We shall show that any two triangulations with the same and sufficiently large number of vertices which belong to P can be transformed into each other, up to homeomorphism, by a finite sequence of diagonal
The paper addresses the problem of 3D model reconstruction from overlapping triangulated range images. A technique for automatic matching of curved freeform surfaces exploiting curvilinear differential structures of the surfaces is presented. We propose a hybrid registration algorithm that combines