Numerical method for image registration model based on optimal mass transport
| Autor: | Justin W. L. Wan, Yangang Chen |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Control and Optimization
Computer science Numerical analysis 010102 general mathematics ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Finite difference Image registration Monotonic function Translation (geometry) 01 natural sciences 010101 applied mathematics Transformation (function) Modeling and Simulation Discrete Mathematics and Combinatorics Periodic boundary conditions Pharmacology (medical) 0101 mathematics Viscosity solution Algorithm Analysis |
| Zdroj: | Inverse Problems & Imaging. 12:401-432 |
| ISSN: | 1930-8345 |
| DOI: | 10.3934/ipi.2018018 |
| Popis: | This paper proposes a numerical method for solving a non-rigid image registration model based on optimal mass transport. The main contribution of this paper is to address two issues. One is that we impose a proper periodic boundary condition, such that when the reference and template images are related by translation, or a combination of translation and non-rigid deformation, the numerical solution gives the underlying transformation. The other is that we design a numerical scheme that converges to the optimal transformation between the two images. As an additional benefit, our approach can decompose the transformation into translation and non-rigid deformation. Our numerical results show that the numerical solutions yield good-quality transformations for non-rigid image registration problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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