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

Content Provider	IEEE Xplore Digital Library
Author	Abe, K. Bisceglio, J. Peters, T.J. Russell, A.C. Ferguson, D.R. Sakkalis, T.
Copyright Year	2005
Description	Author affiliation: Connecticut Univ., Storrs, CT, USA (Abe, K.; Bisceglio, J.; Peters, T.J.; Russell, A.C.; Ferguson, D.R.)
Abstract	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.
Starting Page	288
Ending Page	297
File Size	1061928
Page Count	10
File Format	PDF
ISBN	076952379X
DOI	10.1109/SMI.2005.8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-06-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Topology Surface reconstruction Image reconstruction Sampling methods Geometry Algorithm design and analysis Testing Shape medial axis. surface reconstruction twice-differentiable manifold differential topology differential geometry
Content Type	Text
Resource Type	Article

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