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An Image Processing Approach to Surface Matching

Litke, Nathan and Droske, Marc and Rumpf, Martin and Schröder, Peter (2005) An Image Processing Approach to Surface Matching. In: Eurographics Symposium on Geometry Processing 2005. Eurographics Association , Aire-la-Ville, Switzerland. ISBN 3-905673-24-X. http://resolver.caltech.edu/CaltechAUTHORS:20161122-170753654

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Abstract

Establishing a correspondence between two surfaces is a basic ingredient in many geometry processing applications. Existing approaches, which attempt to match two meshes directly in 3D, can be cumbersome to implement and it is often hard to produce accurate results in a reasonable amount of time. In this paper, we present a new variational method for matching surfaces that addresses these issues. Instead of matching two surfaces directly in 3D, we apply well-established matching methods from image processing in the parameter domains of the surfaces. A matching energy is introduced that can depend on curvature, feature demarcations or surface textures, and a regularization energy controls length and area changes in the induced non-rigid deformation between the two surfaces. The metric on both surfaces is properly incorporated into the formulation of the energy. This approach reduces all computations to the 2D setting while accounting for the original geometries. Consequently a fast multiresolution numerical algorithm for regular image grids can be used to solve the global optimization problem. The final algorithm is robust, generically much simpler than direct matching methods, and very fast for highly resolved triangle meshes.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.2312/SGP/SGP05/207-216DOIArticle
http://diglib.eg.org/handle/10.2312/SGP.SGP05.207-216PublisherArticle
Additional Information:© 2005 Eurographics Association. This work was supported in part by NSF (DMS-0220905, DMS-0138458, ACI-0219979), DFG (SPP 1114), DOE (W-7405-ENG-48/B341492), the Packard Foundation, nVidia, Microsoft, the Center for Integrated Multiscale Modeling and Simulation, Alias and Pixar. Special thanks to Sharif Elcott, Ilja Friedel, Liliya Kharevych and Weiwei Yang, and to our reviewers for their helpful comments.
Funders:
Funding AgencyGrant Number
NSFDMS-0220905
NSFDMS-0138458
NSFACI-0219979
Deutsche Forschungsgemeinschaft (DFG)SPP 1114
Department of Energy (DOE)W-7405-ENG-48/B341492
David and Lucile Packard FoundationUNSPECIFIED
nVidiaUNSPECIFIED
MicrosoftUNSPECIFIED
Center for Integrated Multiscale Modeling and SimulationUNSPECIFIED
AliasUNSPECIFIED
PixarUNSPECIFIED
Subject Keywords:surface matching, deformation energy, non-linear elasticity, digital geometry processing
Classification Code:G.1.8 [Numerical Analysis]: Elliptic equations; Finite element methods. I.3.5 [Computer Graphics]: Curve, surface, solid and object representations; Geometric algorithms, languages, and systems; Physically based modeling.
Record Number:CaltechAUTHORS:20161122-170753654
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161122-170753654
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72271
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:23 Nov 2016 05:11
Last Modified:23 Nov 2016 05:11

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