Reconstructing surfaces using envelopes: bridging the gap between theory and practice
ACM SIGGRAPH 2006 Research posters
Computational topology for isotopic surface reconstruction
Theoretical Computer Science - Spatial representation: Discrete vs. continous computational models
Modeling time and topology for animation and visualization with examples on parametric geometry
Theoretical Computer Science
Computing Fundamental Group of General 3-Manifold
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
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We report new techniques and theory in computational topology for reconstructing surfaces with boundary. This complements and extends known techniques for surfaces without boundary. Our approach is motivated by differential geometry and differential topology. We have also conducted significant experimental work to test our resultant implementations. We discuss some problematic issues that can arise regarding the roles of the medial axis and sampling density. The crucial topics for C2 manifolds are:1. Important defining properties of C2 manifolds with boundary, 2. Creation of auxiliary surfaces, with emphasis near the boundary, 3. Sampling density, and 4. Successful practical algorithms and examples.