Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory

Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory (2005)

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by K. Abe , J. Bisceglio , D. R. Ferguson , T. J. Peters , A. C. Russell , T. Sakkalis

Venue:	Proceedings of the IEEE International Conference on Shape Modeling and Applications, June 15 17, 2005
Citations:	8 - 4 self

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Datum	Value	Source
TITLE	Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory	INFERENCE
AUTHOR NAME	K. Abe	SVM HeaderParse 0.2
AUTHOR AFFIL	1 Department of Mathematics, University of Connecticut	SVM HeaderParse 0.2
AUTHOR ADDR	Storrs, CT 06269-3009 USA,	SVM HeaderParse 0.2
AUTHOR NAME	J. Bisceglio	SVM HeaderParse 0.2
AUTHOR NAME	D. R. Ferguson	SVM HeaderParse 0.2
AUTHOR AFFIL	was from NSF grants CCF 0429477, DMS 0138098 and CCR 0226504.; 5 Department of Computer Science and Engineering University of Connecticut, Storrs	SVM HeaderParse 0.2
AUTHOR ADDR	CT 06269-	SVM HeaderParse 0.2
AUTHOR NAME	T. J. Peters	SVM HeaderParse 0.2
AUTHOR AFFIL	3 DRF Associates, Seattle, Washington, david.r.ferguson@comcast.net; 4 Department of Computer Science and Engineering and Department of Mathematics, University; of Connecticut, Storrs, CT 06269-3155 USA,	SVM HeaderParse 0.2
AUTHOR NAME	A. C. Russell	SVM HeaderParse 0.2
AUTHOR AFFIL	was from NSF grants CCF 0429477, DMS 0138098 and CCR 0226504.; 5 Department of Computer Science and Engineering University of Connecticut, Storrs	SVM HeaderParse 0.2
AUTHOR ADDR	CT 06269-	SVM HeaderParse 0.2
AUTHOR NAME	T. Sakkalis	SVM HeaderParse 0.2
AUTHOR AFFIL	and CCR 0226504.; 6 Agricultural University of Athens	SVM HeaderParse 0.2
AUTHOR ADDR	Athens, 118 55 Greece, and Massachusetts Institute of Technology,; Cambridge, MA 02139, USA,	SVM HeaderParse 0.2
ABSTRACT	Abstract. This paper presents new mathematical foundations for topologically correct surface reconstruction techniques that are applicable to 2-manifolds with boundary, where provable techniques previously had been limited to surfaces without boundary. This is done by an intermediate construction of the envelope (as defined herein) of the original surface. For any compact C 2 manifold M it is shown that its envelope is C 1,1 and this envelope can be reconstructed with topological guarantees. Then it is shown that there exists a piecewise linear (PL) subset of the reconstruction of the envelope that is ambient isotopic to M, whenever M is orientable. The emphasis of this paper is upon the mathematical proofs needed for these extensions, where more practical applications and examples are presented in a companion paper.	SVM HeaderParse 0.2
YEAR	2005	SVM HeaderParse 0.2
VENUE	Proceedings of the IEEE International Conference on Shape Modeling and Applications, June 15 17, 2005	INFERENCE
VENUE TYPE	CONFERENCE	INFERENCE
PAGES	297	INFERENCE
VOLUME	288	INFERENCE
CITATIONS	25 found	ParsCit 1.0