Title:
Texture Mapping via Optimal Mass Transport
Texture Mapping via Optimal Mass Transport
Author(s)
Dominitz, Ayelet
Tannenbaum, Allen R.
Tannenbaum, Allen R.
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Abstract
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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Date Issued
2010-05
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Text
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