Results 1 
2 of
2
Topologically Defined Isosurfaces
 IN PROC. 6TH DISCRETE GEOMETRY FOR COMPUTER IMAGERY
, 1996
"... In this research report, we present a new process for defining and building the set of configurations of MarchingCubes algorithms. Our aim is to extract a topologically correct isosurface from a volumetric image. Our approach exploits the underlying discrete topology of voxels and especially the ..."
Abstract

Cited by 13 (0 self)
 Add to MetaCart
In this research report, we present a new process for defining and building the set of configurations of MarchingCubes algorithms. Our aim is to extract a topologically correct isosurface from a volumetric image. Our approach exploits the underlying discrete topology of voxels and especially their connectedness. Our main
Topologically Defined Isosurfaces
, 1996
"... In this research report, we present a new process for defining and building the set of configurations of MarchingCubes algorithms. Our aim is to extract a topologically correct isosurface from a volumetric image. Our approach exploits the underlying discrete topology of voxels and especially the ..."
Abstract
 Add to MetaCart
(Show Context)
In this research report, we present a new process for defining and building the set of configurations of MarchingCubes algorithms. Our aim is to extract a topologically correct isosurface from a volumetric image. Our approach exploits the underlying discrete topology of voxels and especially their connectedness. Our main contribution is to provide a formal proof of the validity of the generated isosurface according to the chosen connectedness. The generated isosurface is a closed, oriented surface without singularity with no selfintersection. Furthermore, we demonstrate that it does not intersect the adjacency map (a volumetric embedding of the adjacency graph) of the foreground and of the background, thus separating the foreground from the background. Finally we show that the graph defining the isosurface is closely linked to the surfeladjacency graph of the digital surface of the same image. Keywords: isosurface extraction, MarchingCubes, surface topology, digital geom...