authors 
Stander, B.T. and Hart, J.C. 
year 
1997 
title 
Guaranteeing the Topology of an Implicit Surface Polygonization for Interactive Modeling 
source 
Computer Graphics, no. 31, pp. 279286 
summary 
Morse theory shows how the topology of an implicit surface is affected by its function's critical points, whereas catastrophe theory shows how these critical points behave as the function's parameters change. Interval analysis finds the critical points, and they can also be tracked efficiently during parameter changes. Changes in the function value at these critical points cause changes in the topology. Techniques for modifying the polygonization to accommodate such changes in topology are given. These techniques are robust enough to guarantee the topology of an implicit surface polygonization, and are efficient enough to maintain this guarantee during interactive modeling. The impact of this work is a topologicallyguaranteed polygonization technique, and the ability to directly and accurately manipulate polygonized implicit surfaces in real time. 
series 
journal paper 
full text 
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references 
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last changed 
2003/04/23 13:50 
