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International Conference on Shape Modeling and Applications 2005 (SMI' 05)
Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory
Cambridge, Massachusetts
June 13-June 17
ISBN: 0-7695-2379-X
ASCII Text
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K. Abe, J. Bisceglio, T. J. Peters, A. C. Russell, T. Sakkalis, "Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory," Shape Modeling and Applications, International Conference on, pp. 290-299, International Conference on Shape Modeling and Applications 2005 (SMI' 05), 2005.
 
 
BibTex
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@article{ 10.1109/SMI.2005.8,
author = {K. Abe and J. Bisceglio and T. J. Peters and A. C. Russell and T. Sakkalis},
title = {Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory},
journal ={Shape Modeling and Applications, International Conference on},
volume = {0},
year = {2005},
isbn = {0-7695-2379-X},
pages = {290-299},
doi = {http://doi.ieeecomputersociety.org/10.1109/SMI.2005.8},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Shape Modeling and Applications, International Conference on
TI - Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory
SN - 0-7695-2379-X
SP290
EP299
A1 - K. Abe,
A1 - J. Bisceglio,
A1 - T. J. Peters,
A1 - A. C. Russell,
A1 - T. Sakkalis,
PY - 2005
KW - surface reconstruction
KW - twice-differentiable manifold
KW - differential topology
KW - differential geometry
KW - medial axis.
VL - 0
JA - Shape Modeling and Applications, International Conference on
ER -
 
K. Abe, University of Connecticut
J. Bisceglio, University of Connecticut
T. J. Peters, University of Connecticut
A. C. Russell, University of Connecticut
T. Sakkalis, Agricultural University of Athens
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.
Index Terms:
surface reconstruction, twice-differentiable manifold, differential topology, differential geometry, medial axis.
Citation:
K. Abe, J. Bisceglio, T. J. Peters, A. C. Russell, T. Sakkalis, "Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory," smi, pp.290-299, International Conference on Shape Modeling and Applications 2005 (SMI' 05), 2005
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