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jvrb_regulski's BibTeX entry:  

Topologically Accurate Dual Isosurfacing Using Ray Intersection

Journal of Virtual Reality and Broadcasting, 4(4)2007.
Authors: Jaya Sreevalsan-Nair and Lars Linsen and Bernd Hamann
Editors: Jens Herder
Tags: 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]
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.
| BibTeX  
@article{SLH07,
title = {Topologically Accurate Dual Isosurfacing Using Ray Intersection},
author = {Jaya Sreevalsan-Nair and Lars Linsen and Bernd Hamann},
editor = {Jens Herder},
journal = {Journal of Virtual Reality and Broadcasting},
month = {September},
note = {{\tt urn:nbn:de:0009-6-11700}, ISSN 1860-2037},
number = {4},
volume = {4},
year = {2007},
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.},
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] }
}