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Adaptive Polygonalization of Implicitly Defined Surfaces
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Polygonization of non-manifold implicit surfaces
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IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
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VIS '95 Proceedings of the 6th conference on Visualization '95
Interactive Simulation of Burning Objects
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
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VIS '94 Proceedings of the conference on Visualization '94
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ACM-SE 33 Proceedings of the 33rd annual on Southeast regional conference
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Guaranteeing the topology of an implicit surface polygonization for interactive modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Using particles to sample and control implicit surfaces
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Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
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Optimizing the topological and combinatorial complexity of isosurfaces
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The authors review the principal algorithms for the polygonization of implicit surfaces and provide a framework for identifying their conceptual similarities and practical differences. The algorithms' merits are evaluated according to topological disambiguation, implementation complexity, and triangle count. Special attention is devoted to the ambiguity problem, and proposed solutions are analyzed in the context of consistency and correctness. It is argued that consistency suffices for many purposes and is achievable with single-entry tetrahedral or cubical tables.