Title | ||
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Four-Dimensional Anisotropic Diffusion Framework With PDEs for Light Field Regularization and Inverse Problems |
Abstract | ||
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In this paper, we consider the problem of vector-valued regularization of light fields based on PDEs. We propose a regularization method operating in the four-dimensional (4-D) ray space that does not require prior estimation of disparity maps. The method performs a PDE-based anisotropic diffusion along directions defined by local structures in the 4-D ray space. We analyze light field regularization in the 4-D ray space using the proposed 4-D anisotropic diffusion framework by first considering a light field toy example, i.e., a tesseract. This simple light field example allows an in-depth analysis of how each eigenvector influences the diffusion process. We then illustrate the diffusion effect for several light field processing applications: denoising, angular, and spatial interpolation, regularization for enhancing disparity estimation as well as inpainting. |
Year | DOI | Venue |
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2020 | 10.1109/TCI.2019.2919229 | IEEE Transactions on Computational Imaging |
Keywords | DocType | Volume |
Anisotropic magnetoresistance,Noise reduction,Two dimensional displays,Smoothing methods,Inverse problems,Image resolution | Journal | 6 |
ISSN | Citations | PageRank |
2573-0436 | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pierre Allain | 1 | 0 | 1.01 |
Laurent Guillo | 2 | 3 | 2.12 |
Christine Guillemot | 3 | 1286 | 104.25 |