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  A methodology for piecewise linear approximation of surfaces (1997) [4 citations — 4 self]

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by Luiz Velho, Luiz Henrique De Figueiredo, Jonas Gomes
Journal of the Brazilian Computer Society
http://www.visgraf.impa.br/RefBib/Data/PS_PDF/jbcs-pol97/main.ps.gz
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Abstract:

We discuss the problem of adaptive polygonization of regular surfaces of the euclidean 3D space, and present e#ective algorithms for computing optimal polygonizations of surfaces described in parametric or implicit form.

Citations

1350 Marching Cubes: A high resolution 3D surface construction algorithm – Lorensen, Cline - 1987
517 Decimation of Triangle Meshes – Schroeder, Zarge, et al. - 1992
293 Introduction to implicit sur-faces – Bloomenthal, editor - 1997
285 A Generalization Of Algebraic Surface Drawing – Blinn - 1982
243 Data structures for soft objects – Wyvill, McPheeters - 1986
115 Regular Polytopes – Coxeter - 1973
113 Interval analysis for computer graphics – SNYDER - 1992
85 An implicit surface polygonizer – Bloomenthal - 1994
79 An iterative procedure for the polygonal approximation of plane curves, "Comput – Ramer - 1972
78 A theoretical development for the computer generation and display of piecewise polynomial surfaces – Lane, Riesenfeld - 1980
71 Accurate triangulations of deformed, intersecting surfaces – Herzen, Barr - 1987
64 Computer methods for the range of functions – Ratschek, Rokne - 1984
39 Adaptive Polygonalization of Implicitly Defined Surfaces – Hall, Warren - 1990
37 An algorithm for piecewise linear approximation of an implicitly defined manifold – Allgower, Gnutzmann - 1987
33 Adaptive enumeration of implicit surfaces with affine arithmetic – Figueiredo, Stolfi - 1996
31 Interval Methods for Processing Geometric Objects – Mudur, Koparkar - 1984
29 An Adaptive Subdivision Algorithm for Crack Prevention in the Display of Parametric Surfaces – Forsey, Klassen - 1990
25 A fast algorithm for rendering parametric surfaces – Clark - 1979
24 Di erential Geometry of Curves and Surfaces – Carmo - 1976
24 Interval methods in computer graphics – Suffern, Fackerell - 1991
19 Adaptive polygonization of implicit surfaces using simplicial decomposition and boundary constraints – Velho - 1990
16 Introduction to Piecewise Linear Topology – Rourke, Sanderson - 1982
15 Approximate Conversion of Parametric to Implicit Surfaces – Velho, Gomes - 1996
13 Adaptive subdivision algorithms for a set of B'ezier triangles – Filip - 1986
13 Interval arithmetic and recursive subdivision for implicit functions and constructive solid geometry – Du - 1992
12 Tessellation of NURB surfaces – Peterson - 1994
11 Curvature-dependent parametrization of curves and surfaces – Kosters - 1991
10 A generalized scan line algorithm for the computer display of Parametrically defined surfaces, Computer Graphics and Image Processing 11 – Lane, Carpenter - 1979
9 Efficient adaptive subdivision of B'ezier surfaces – Clay, Moreton - 1988
9 Sampling implicit objects with physically-based particle systems – Figueiredo, Gomes - 1996
8 Linear approximation of curves with bounded curvature and a data reduction algorithm – Crampin, Guifo, et al. - 1985
8 de Figueiredo. Adaptive sampling of parametric curves – H - 1995
7 An integrity filter for recursive subdivision meshes – Tamminen, Jansen - 1985
7 Computational techniques for processing parametric surfaces – Koparkar, Mudur - 1984
7 A recursive technique for rendering parametric curves – Chandler - 1990
6 Adaptive polygonization made simple – Velho - 1995
5 de Figueiredo. Optimal adaptive polygonal approximation of parametric surfaces – Velho, H - 1996
5 Implicit Objects in Computer Graphics. Number 53 – Gomes, Velho - 1993
3 Interactive modeling of soft objects – Velho - 1990