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Texture Mapping via Optimal Mass Transport
- Publication Year :
- 2010
-
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.
- Subjects :
- Mathematical optimization
Computer science
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION
Context (language use)
Surface finish
Models, Theoretical
Computer Graphics and Computer-Aided Design
Article
Visualization
Discrete exterior calculus
Imaging, Three-Dimensional
Image texture
Flow (mathematics)
Distortion
Signal Processing
Metric (mathematics)
Image Interpretation, Computer-Assisted
Computer Graphics
Computer Simulation
Computer Vision and Pattern Recognition
Rheology
Texture mapping
Image resolution
Parametrization
Software
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....7fbcba1542afff9df4291668089fb02c