NDLI: Screened poisson surface reconstruction

Content Provider	ACM Digital Library
Author	Hoppe, Hugues Kazhdan, Michael
Copyright Year	2013
Abstract	Poisson surface reconstruction creates watertight surfaces from oriented point sets. In this work we extend the technique to explicitly incorporate the points as interpolation constraints. The extension can be interpreted as a generalization of the underlying mathematical framework to a screened Poisson equation. In contrast to other image and geometry processing techniques, the screening term is defined over a sparse set of points rather than over the full domain. We show that these sparse constraints can nonetheless be integrated efficiently. Because the modified linear system retains the same finite-element discretization, the sparsity structure is unchanged, and the system can still be solved using a multigrid approach. Moreover we present several algorithmic improvements that together reduce the time complexity of the solver to linear in the number of points, thereby enabling faster, higher-quality surface reconstructions.
Starting Page	1
Ending Page	13
Page Count	13
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/2487228.2487237
Volume Number	32
Issue Number	3
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2013-07-04
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Screened Poisson equation Adaptive octree Finite elements Surface fitting
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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