Topologically Accurate Dual Isosurfacing Using Ray Intersection
J. Sreevalsan-Nair, L. Linsen, and B. Hamann. Journal of Virtual Reality and Broadcasting, (September 2007)urn:nbn:de:0009-6-11700, ISSN 1860-2037.
Abstract
“Dual contouring” approaches provide an alternative
to standard Marching Cubes (MC) method to extract
and approximate an isosurface from trivariate data
given on a volumetric mesh. These dual approaches
solve some of the problems encountered by the MC
methods. We present a simple method based on the
MC method and the ray intersection technique to compute
isosurface points in the cell interior. One of the
advantages of our method is that it does not require us
to use Hermite interpolation scheme, unlike other dual
contouring methods. We perform a complete analysis
of all possible configurations to generate a look-up
table for all configurations. We use the look-up table
to optimize the ray-intersection method to obtain
minimum number of points necessarily sufficient for
defining topologically correct isosurfaces in all possible
configurations. Isosurface points are connected
using a simple strategy.
%0 Journal Article
%1 SLH07
%A Sreevalsan-Nair, Jaya
%A Linsen, Lars
%A Hamann, Bernd
%D 2007
%E Herder, Jens
%J Journal of Virtual Reality and Broadcasting
%K 4(2007)4 4.2007 Computer_Graphics DiPP Digital_Peer_Publishing_Initiative Dual_Contouring GRAPP2006 Isosurface JVRB Journal_of_Virtual_Reality_and_Broadcasting Open_Access Peer_Reviewed Ray_Intersection Ray_Tracing Three-dimensional_Computer_Graphics Trilinear_Interpolation [SLH07]
%N 4
%T Topologically Accurate Dual Isosurfacing Using Ray Intersection
%V 4
%X “Dual contouring” approaches provide an alternative
to standard Marching Cubes (MC) method to extract
and approximate an isosurface from trivariate data
given on a volumetric mesh. These dual approaches
solve some of the problems encountered by the MC
methods. We present a simple method based on the
MC method and the ray intersection technique to compute
isosurface points in the cell interior. One of the
advantages of our method is that it does not require us
to use Hermite interpolation scheme, unlike other dual
contouring methods. We perform a complete analysis
of all possible configurations to generate a look-up
table for all configurations. We use the look-up table
to optimize the ray-intersection method to obtain
minimum number of points necessarily sufficient for
defining topologically correct isosurfaces in all possible
configurations. Isosurface points are connected
using a simple strategy.
@article{SLH07,
abstract = {“Dual contouring” approaches provide an alternative
to standard Marching Cubes (MC) method to extract
and approximate an isosurface from trivariate data
given on a volumetric mesh. These dual approaches
solve some of the problems encountered by the MC
methods. We present a simple method based on the
MC method and the ray intersection technique to compute
isosurface points in the cell interior. One of the
advantages of our method is that it does not require us
to use Hermite interpolation scheme, unlike other dual
contouring methods. We perform a complete analysis
of all possible configurations to generate a look-up
table for all configurations. We use the look-up table
to optimize the ray-intersection method to obtain
minimum number of points necessarily sufficient for
defining topologically correct isosurfaces in all possible
configurations. Isosurface points are connected
using a simple strategy.},
added-at = {2007-12-13T16:00:12.000+0100},
author = {Sreevalsan-Nair, Jaya and Linsen, Lars and Hamann, Bernd},
biburl = {https://www.bibsonomy.org/bibtex/2265f1b80d0c55cff601d52e9ba10e19f/jvrb_regulski},
editor = {Herder, Jens},
interhash = {da29f591e46bf24d876249eb934cacc2},
intrahash = {265f1b80d0c55cff601d52e9ba10e19f},
journal = {Journal of Virtual Reality and Broadcasting},
keywords = {4(2007)4 4.2007 Computer_Graphics DiPP Digital_Peer_Publishing_Initiative Dual_Contouring GRAPP2006 Isosurface JVRB Journal_of_Virtual_Reality_and_Broadcasting Open_Access Peer_Reviewed Ray_Intersection Ray_Tracing Three-dimensional_Computer_Graphics Trilinear_Interpolation [SLH07]},
month = {September},
note = {{\tt urn:nbn:de:0009-6-11700}, ISSN 1860-2037},
number = 4,
timestamp = {2007-12-13T16:00:12.000+0100},
title = {Topologically Accurate Dual Isosurfacing Using Ray Intersection},
volume = 4,
year = 2007
}