Title :
Accurate display of tensor product isosurfaces
Author_Institution :
Silicon Graphics Comput. Syst., Mountain View, CA, USA
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;
Conference_Titel :
Visualization, 1990. Visualization '90., Proceedings of the First IEEE Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-8186-2083-8
DOI :
10.1109/VISUAL.1990.146401
