Sampling implicit objects with physically-based particle systems

Sampling implicit objects with physically-based particle systems (1996) (Make Corrections) (4 citations)
Luiz Henrique de Figueiredo, Jonas GomesComputers and Graphics

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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...

Cited by: More
Implicit Linear Interval Estimations - Bühler (2002) (Correct)
Robust Adaptive Polygonal Approximation of Implicit Curves - Oliveira, de Figueiredo (Correct)
Robust Adaptive Approximation of Implicit Curves - Oliveira, de Figueiredo (2001) (Correct)

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4: Interval analysis for computer graphics - Snyder - 1992
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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/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/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
52 Interval arithmetic and recursive subdivision for implicit f.. (context) - Duff
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
13 Affine arithmetic and its applications to computer graphics - Comba, Stolfi - 1993
12 Computational morphology of curves - de Figueiredo, Gomes - 1995
11 Adaptive enumeration of implicit surfaces with affine arithm.. (context) - de Figueiredo, Stolfi
7 A simple and relatively efficient triangulation of the n-cub.. (context) - Haiman - 1991
5 Computational Morphology of Implicit Curves - de Figueiredo - 1992
4 A new method for solving nonlinear simultaneous equations (context) - Incerti, Parisi et al. - 1979
1 in Computer & Graphics 20 #3 (1996) (special issue "Computer.. (context) - de Figueiredo, Gomes et al. - 1996

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Instituto de Matematica Pura e Aplicada -- IMPA Estrada Dona.. - Ruben Jonas (Correct)
Computational Morphology of Implicit Curves - de Figueiredo (1992) (Correct)
A Methodology for Piecewise Linear Approximation of Surfaces - Velho, de Figueiredo, Gomes (1997) (Correct)

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