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|a 10.1109/TVCG.2009.64
|2 doi
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|a eng
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|a Dominitz, Ayelet
|e verfasserin
|4 aut
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|a Texture mapping via optimal mass transport
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|c 2010
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Completed 18.05.2010
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|a Date Revised 13.11.2018
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|a published: Print
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|a Citation Status MEDLINE
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|a 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
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|a Journal Article
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|a Research Support, N.I.H., Extramural
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|a Research Support, U.S. Gov't, Non-P.H.S.
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| 700 |
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|a Tannenbaum, Allen
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on visualization and computer graphics
|d 1996
|g 16(2010), 3 vom: 01. Mai, Seite 419-33
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|x 1941-0506
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| 773 |
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|g volume:16
|g year:2010
|g number:3
|g day:01
|g month:05
|g pages:419-33
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