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Abstract: . After reviewing three classical sampling methods for implicit objects, we describe a new sampling method that is not based on scanning the ambient space. In this method, samples are "randomly" generated using physically-based particle systems. Introduction In computer graphics, an object is described either by a set of sample points or by an analytic scheme that uses mathematical equations to define its geometry and topology. Descriptions based on samples occur in areas such as medical... (Update)
Context of citations to this paper: More
...techniques, such as gradient descent. We employ a physics based method that is simple to implement and provides good accuracy control (see [38] for details) 6.3 Comments This new hybrid extrinsic intrinsic polygonization method for implicit surfaces has one limitation compared...
.... approximations for implicit objects is a challenging problem for two main reasons: first, it is hard to find points on the implicit object [9]; second, it is hard to connect isolated points into a mesh [8] In this paper, we consider the problem of computing a polygonal...
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BibTeX entry: (Update)
L. H. de Figueiredo and J. Gomes. Sampling implicit objects with physically-based particle systems. Computers & Graphics, 20(3):365--375, 1996. http://citeseer.nj.nec.com/article/defigueiredo96sampling.html More
@article{ defigueiredo96sampling,
author = "Luiz Henrique {De Figueiredo} and Jonas Gomes",
title = "Sampling implicit objects with physically-based particle systems",
journal = "Computers and Graphics",
volume = "20",
number = "3",
month = "--",
pages = "365--375",
year = "1996",
url = "citeseer.nj.nec.com/article/defigueiredo96sampling.html" }
Citations (may not include all citations):83 Polygonization of implicit surfaces - Bloomenthal - 1988
75 Using particles to sample and control implicit surfaces - Witkin, Heckbert
71 Surface modeling with oriented particle systems - Szeliski, Tonnesen
62 Interactive techniques for implicit modeling - Bloomenthal, Wyvill - 1990
51 Numerical Continuation Methods: An Introduction (context) - Allgower, Georg - 1990
15 Contour tracing by piecewise linear approximations (context) - Dobkin, Levy et al. - 1990
14 Adaptive polygonization of implicit surfaces using simplicia.. (context) - Velho
9 Interval arithmetic and recursive subdivision for implicit f.. (context) - Du
7 Computational morphology of curves - de Figueiredo, Gomes - 1995
4 A new method for solving nonlinear simultaneous equations (context) - Incerti, Parisi et al. - 1979
3 ne arithmetic and its applications to computer graphics (context) - Comba, Stolfi - 1993
2 A simple and relatively e#cient triangulation of the n-cube (context) - Haiman - 1991
2 Adaptive enumeration of implicit surfaces with a#ne arithmet.. (context) - de Figueiredo, Stolfi
1 in Computer & Graphics 20 #3 (1996) (special issue "Computer.. (context) - de Figueiredo, Gomes et al. - 1996
1 Computational Morphology of Implicit Curves - de Figueiredo - 1992
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