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  A Point-based Approach to PDE-based Surface Reconstruction

Linz, C., Goldluecke, B., & Magnor, M. (2006). A Point-based Approach to PDE-based Surface Reconstruction. In K. Franke, K. R. Müller, B. Nickolay, & R. Schäfer (Eds.), Pattern Recognition : 28th DAGM Symposium (DAGM'06) (pp. 729-738). Berlin, Germany: Springer.

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 Creators:
Linz, Christian1, 2, Author           
Goldluecke, Bastian2, 3, Author           
Magnor, Marcus2, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2Graphics - Optics - Vision, MPI for Informatics, Max Planck Society, ou_1116549              
3International Max Planck Research School, MPI for Informatics, Max Planck Society, ou_1116551              

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 Abstract: Variational techniques are a popular approach for reconstructing the surface of an object. In previous work, the surface is represented either implicitly by the use of level sets or explicitly as a triangle mesh. In this paper we describe new formulations and develop fast algorithms for surface reconstruction based on partial differential equations (PDEs) derived from variational calculus using an explicit, purely point-based surface representation. The method is based on a Moving Least-Squares surface approximation of the sample points. Our new approach automatically copes with complicated topology and deformations, without the need for explicit treatment. In contrast to level sets, it requires no postprocessing, easily adapts to varying spatial resolutions and is invariant under rigid body motion. We demonstrate the versatility of our method using several synthetic data sets and show how our technique can be used to reconstruct object surfaces from real-world multi-view footage.

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Language(s): eng - English
 Dates: 2007-03-042006
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 520721
URI: http://www.springerlink.com/content/n6671h12q14000p7/fulltext.pdf
Other: Local-ID: C1256BDE005F57A8-50043E6F536E7ACAC12571ED00311D6B-DAGN06
 Degree: -

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Title: Untitled Event
Place of Event: Berlin, Germany
Start-/End Date: 2006-09-12 - 2006-09-14

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Source 1

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Title: Pattern Recognition : 28th DAGM Symposium (DAGM'06)
Source Genre: Proceedings
 Creator(s):
Franke, Katrin, Editor
Müller, Klaus R., Editor
Nickolay, Bertram, Editor
Schäfer, Ralf, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 729 - 738 Identifier: ISBN: 978-3-540-44412-1

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -