A Topological Approach for Handling Triangle Insertion and Removal into Two-Dimensional Unstructured Meshes  (Make Corrections)  
L.G. Nonato, A. Castelo, M.C.F. de Oliveira

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Abstract: Several algorithms for generating two-dimensional unstructured meshes use triangle insertion and removal as their basic operations. This work presents a robust mathematical Jbamework, based on Morse Theory, which allows full control of the topological changes caused by the insertion or removal of triangles into 2D meshes. Topological control is ensured by a set of Morse operators and simplifies both the maintenance of the data structures representing the meshes and the implementation of... (Update)

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BibTeX entry:   (Update)

@misc{ nonato-topological,
  author = "L.G. Nonato and A. Castelo and M.C.F. de Oliveira",
  title = "A Topological Approach for Handling Triangle Insertion and Removal into
    Two-Dimensional Unstructured Meshes",
  url = "citeseer.nj.nec.com/551625.html" }
Citations (may not include all citations):
528   The Design and Analysis of Spatial Data Structure (context) - Samet - 1990
216   Primitives for the manipulation of general subdivisions and .. (context) - Guibas, Stolfi - 1985
100   Mesh generation and optimal triangulation - Bern, Eppstein - 1992
49   Algebraic Topology: An introduction (context) - Massey - 1967
42   A polyhedron representation for computer vision (context) - Baumgart - 1975
25   The radial-edge structure: a topological representation for .. (context) - Weiler - 1988
16   A general topology-based mesh data structure (context) - Beall, Shephard - 1997
14   Through the cracks of the solid modeling milestone (context) - Rossignac - 1994
5   A Delaunay refinement algorithm for quality 2-dimensional me.. (context) - Ruppert - 1995
4   Simultaneous Refinement and Coarsening for Adaptive Meshing - Li, Teng et al. - 1999
3   Reliability of automatic 3D mesh generation (context) - Shepard, Georges - 1992
2   An introduction to solid modeling (context) - M'intyli - 1988
2   A Handlebody Representation for Surfaces and Morse Operators (context) - Castelo, Lopes et al. - 1992
1   Data structures and mesh modification tools for unstmcutred .. (context) - Bottasso, Klaas et al. - 1998
1   An efficient data structure for the advancing-front triangul.. (context) - Kwok, Haghighi et al. - 1995
1   Geometric Modeling with singular polyhedral spaces (context) - Pesco - 1997
1   Efficient data structure for adaptive remeshing with the FEM (context) - Dannelongue, Tanguy - 1990
1   Towards an adaptive advancing front method - Seveno - 1997

Documents on the same site (http://www.icmc.sc.usp.br/~gnonato/pub_gustavo.html):
Morse Operators for Digital Planar Surfaces and.. - Nonato, Castelo..   (Correct)

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