Contouring curved quadratic elements

Authors:
D. F. Wiley;H. R. Childs;B. F. Gregorski;B. Hamann;K. I. Joy
Affiliations:
University of California, Davis, CA;Lawrence Livermore National Laboratory, Livermore, CA;University of California, Davis, CA;University of California, Davis, CA;University of California, Davis, CA
Venue:
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Year:
2003

Citing 0
Cited 2

Ray-Tracing Polymorphic Multidomain Spectral/hp Elements for Isosurface Rendering

IEEE Transactions on Visualization and Computer Graphics
Ray casting curved-quadratic elements

VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization

Quantified Score

Hi-index	0.00

Visualization

Abstract

We show how to extract a contour line (or isosurface) from quadratic elements---specifically from quadratic triangles and tetrahedra. We also devise how to transform the resulting contour line (or surface) into a quartic curve (or surface) based on a curved-triangle (curved-tetrahedron) mapping. A contour in a bivariate quadratic function defined over a triangle in parameter space is a conic section and can be represented by a rational-quadratic function, while in physical space it is a rational quartic. An isosurface in the trivariate case is represented as a rational-quadratic patch in parameter space and a rational-quartic patch in physical space. The resulting contour surfaces can be rendered efficiently in hardware.