Please use this identifier to cite or link to this item:
doi:10.22028/D291-26291
Title: | Tensor field interpolation with PDEs |
Author(s): | Weickert, Joachim Welk, Martin |
Language: | English |
Year of Publication: | 2005 |
Free key words: | matrix-valued images inpainting scattered data interpolation regularisation |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We present a unified framework for interpolation and regularisation of scalar- and tensor-valued images. This framework is based on elliptic partial differential equations (PDEs) and allows rotationally invariant models. Since it does not require a regular grid, it can also be used for tensor-valued scattered data interpolation and for tensor field inpainting. By choosing suitable differential operators, interpolation methods using radial basis functions are covered. Our experiments show that a novel interpolation technique based on anisotropic diffusion with a diffusion tensor should be favoured: It outperforms interpolants with radial basis functions, it allows discontinuity-preserving interpolation with no additional oscillations, and it respects positive semidefiniteness of the input tensor data. |
Link to this record: | urn:nbn:de:bsz:291-scidok-45110 hdl:20.500.11880/26347 http://dx.doi.org/10.22028/D291-26291 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 142 |
Date of registration: | 25-Jan-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_142_05.pdf | 1,55 MB | Adobe PDF | View/Open |
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