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Texture Mapping via Optimal Mass Transport
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Institution: |
1Department of Electrical Engineering, Technion IIT, Haifa, Israel. ayeletdo@tx.technion.ac.il 2Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA |
Publisher: |
IEEE Computer Society |
Publication Date: |
May-2010 |
Journal: |
IEEE Trans Vis Comput Graph |
Volume Number: |
16 |
Issue Number: |
3 |
Pages: |
419-33 |
Citation: |
IEEE Trans Vis Comput Graph. 2010 May-Jun;16(3):419-33. |
PubMed ID: |
20224137 |
PMCID: |
PMC2886313 |
Keywords: |
Texture mapping, optimal mass transport, parametrization, spherical wavelets |
Appears in Collections: |
NA-MIC, NAC |
Sponsors: |
P41 RR13218 (RR) funded by NCRR NIH HHS U54 EB005149 (EB) funded by NIBIB NIH HHS |
Generated Citation: |
Dominitz A., Tannenbaum A. Texture Mapping via Optimal Mass Transport. IEEE Trans Vis Comput Graph. 2010 May-Jun;16(3):419-33. PMID: 20224137. PMCID: PMC2886313. |
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| Paper: | Download, View online |
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In this paper, we present a novel method for texture mapping of closed surfaces. Our method is based on the technique of optimal mass transport (also known as the "earth-mover's metric"). This is a classical problem that concerns determining the optimal way, in the sense of minimal transportation cost, of moving a pile of soil from one site to another. In our context, the resulting mapping is area preserving and minimizes angle distortion in the optimal mass sense. Indeed, we first begin with an angle-preserving mapping (which may greatly distort area) and then correct it using the mass transport procedure derived via a certain gradient flow. In order to obtain fast convergence to the optimal mapping, we incorporate a multiresolution scheme into our flow. We also use ideas from discrete exterior calculus in our computations.
Additional Material
1 File (215.728kB)
Dominitz-IEEE-TVCG2010-fig12.jpg (215.728kB)