Interactive Visualization of Implicit Surfaces with Singularities
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Date
1997
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Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
This paper presents work on two methods for interactive visualization of implicit surfaces: physically-based sampling using particle systems and polygonization followed by physically-based mesh improvement which explicitly makes use of the surface-defining equation. While most previous work applied to bounded manifolds without singularities and without boundary (topological spheres) we broaden the scope of the methods to include surfaces with such features, in particular cusp points and surface self-intersections. These aspects are not (yet) essential for computer graphics modelling with implicit surfaces but they naturally occur in simulations of interest in mathematical visualization. In this paper we use the Kummer family of algebraic surfaces as an example.
Description
@article{10.1111:1467-8659.00196,
journal = {Computer Graphics Forum},
title = {{Interactive Visualization of Implicit Surfaces with Singularities}},
author = {Rosch, Angela and Ruhl, Matthias and Saupe, Dietmar},
year = {1997},
publisher = {Blackwell Publishers Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00196}
}