Implicit Linear Interval Estimations (ResearchIndex)

Implicit Linear Interval Estimations (2002) (Make Corrections)
Katja Bühler

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Abstract: Visualization and collision detection are two of the most important problems connected with implicit objects. Enumeration algorithms can be used either directly or as preprocessing step for many algorithms solving these problems. In general, enumeration algorithms based on recursive space subdivision are reliable tools to encounter those parts in space, where the object might be located. But the bad performance and the huge number of computed enclosing cells, if high precision is required, are... (Update)

Active bibliography (related documents): More All
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0.8: Robust Adaptive Polygonal Approximation of Implicit Curves - Oliveira, de Figueiredo (Correct)
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BibTeX entry: (Update)

@misc{ hler-implicit,
  author = "Katja Bühler",
  title = "Implicit Linear Interval Estimations",
  url = "citeseer.nj.nec.com/565591.html" }

Citations (may not include all citations):
203 Introduction to Interval Computations (context) - Alefeld, Herzberger - 1983
66 Interval analysis for computer graphics - Snyder - 1992
52 Interval arithmetic and recursive subdivision for implicit f.. (context) - Duff - 1992
51 Interval method for multi-point collision between time-depen.. - Snyder, Woodbury et al. - 1993
22 Interval methods in computer graphics (context) - Suffern, Fackerell - 1991
18 blending and Boolean operations in an implicit surface model.. (context) - Wyvill, Guy et al. - 1999
12 Self-validated numerical methods and applications - Stolfi, de Figueiredo - 1997
11 Feature-sensitive surface extraction from volume data - Kobbelt, Botsch et al. - 2001
9 Polygonisation of implicit surfaces (context) - Bloomenthal - 1988
9 Efficient collision detection of complex deformable models u.. - van den Bergen - 1997
8 Adaptive enumeration of implicit surfaces with affine arithm.. - de Figueiredo, Stolfi - 1996
7 volume 37 of Encyclopedia of Mathematics and its Application.. (context) - Neumaier, for et al. - 1990
4 SvLis: Introduction and User Manual (context) - Bowyer - 1994
4 Sampling implicit objects with physically-based particle sys.. - De Figueiredo, Gomes - 1996
4 Interactive visualization of implicit surfaces with singular.. - Rosch, Ruhl et al. - 1997
4 An accurate algorithm for rasterizing algebraic curves (context) - Taubin - 1994
3 Fast ray tracing of implicit surfaces (context) - Sherstyuk - 1999
3 Visualisation of implicit surfaces (context) - Balsys, Suffern - 2001
2 A methodology for piecewise linear approximation of surfaces - Velho, de Figueiredo et al. - 1997
2 Interval methods in geometric modeling (context) - Bowyer, Berchtold et al. - 2000
1 runtime optimized fast interval library (context) - Knuppel, programmer's - 1993
1 Parallel spatial enumeration of implicit surfaces using inte.. - Stolte, Kaufman - 1998
1 Polynomial evaluation using affine arithmetic for curve draw.. (context) - Martin, Zhang - 2000
1 Sampling implicit surfaces based on stochastic differential .. (context) - Tanaka, Morisaki et al. - 2000
1 Fast and reliable plotting of implicit curves (context) - Buhler - 2001
1 Interval and affine arithmetic for surface location of power.. (context) - Voiculescu, Berchtold et al. - 2000
1 Robust hierarchical voxel models for representation and inte.. (context) - Stolte, Kaufman - 1998
1 Fast polygonization of implicit surfaces - Triquet, Meseure et al. - 2001
1 Linear interval estimations for parametric objects (context) - Buhler - 2001
1 Adaptive implicit surface polygonization using marching tria.. (context) - Akkouche, Galin - 2001
1 Affine intervals in a csg geometric modeller (context) - Bowyer, Martin et al. - 2001
1 Affine arithmetic sofware (context) - van Iwaarden, Stolfi - 1997

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