Chord length (motivated) parameterization of marching cubes isosurfaces

Author

Nielson, Gregory M.

Author_Institution

Arizona State Univ., Phoenix, AZ, USA

fYear

2004

fDate

2004

Firstpage

19

Lastpage

30

Abstract

We describe a new technique for the parameterization of isosurfaces which result from the marching cubes (mc) algorithm. The motivation for the methods is based upon the method of chord length parameterization for curves. The method of extending the concept of curve parameterization to isosurface parameterization is based upon a relatively simple but very useful observation about a subset of the edge topology of a mc produced isosurface called the 4*-network. This is a collection of three mutually orthogonal planar polygons lying on and intersecting at the vertices of the isosurface. We illustrate the potential usefulness of this new parameterization method with examples from geometric modeling and medical imaging analysis.

Keywords

computational geometry; curve fitting; rendering (computer graphics); 4*-network; chord length parameterization; edge topology; geometric modeling; isosurface parameterization; marching cubes algorithm; medical imaging analysis; orthogonal planar polygons; Biomedical imaging; Equations; Image analysis; Isosurfaces; Least squares approximation; Least squares methods; Linear systems; Solid modeling; Topology; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Geometric Modeling and Processing, 2004. Proceedings

Print_ISBN

0-7695-2078-2

Type

conf

DOI

10.1109/GMAP.2004.1290023

Filename

1290023