Accurate display of tensor product isosurfaces

Author

Rockwood, Alyn

Author_Institution

Silicon Graphics Comput. Syst., Mountain View, CA, USA

fYear

1990

fDate

23-26 Oct 1990

Firstpage

353

Abstract

A general method for rendering isosurfaces of multivariate rational and polynomial tensor products is described. The method is robust up to degree 15, handling singularities without introducing spurious rendering artifacts. The approach does not solve the problem of singularities in general, but it removes the problem from the rendering domain to the interpolation/approximation domain. It is based on finding real roots of a polynomial in Bernstein form. This makes it particularly suitable for parallel and pipelined processing. It is envisioned that the tensor products will be used as approximants or interpolants for empirical data or scalar fields. An interpolation scheme is given as an example

Keywords

computational geometry; computer graphics; interpolation; tensors; Bernstein form; approximants; empirical data; interpolants; interpolation; isosurfaces rendering; multivariate data; pipelined processing; polynomial tensor products; roots; scalar fields; singularities; tensor product isosurfaces; Computer displays; Computer graphics; Hardware; Interpolation; Isosurfaces; Polynomials; Rendering (computer graphics); Robustness; Silicon; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Visualization, 1990. Visualization '90., Proceedings of the First IEEE Conference on

Conference_Location

San Francisco, CA

Print_ISBN

0-8186-2083-8

Type

conf

DOI

10.1109/VISUAL.1990.146401

Filename

146401