Brandt, Howard E. (2015) Note on the Riemannian geometry of image processing. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (1). pp. 5-14. ISSN 0866-0174
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Abstract
A brief review is given of the Riemannian geometry of image processing. Methods are exposited for treating images as Riemannian manifolds in general embedding spaces for application to linear and nonlinear scale-space image processing. In particular, the Beltrami operator approach to obtaining a nonlinear differential equation for processing of gray-scale images is treated in some detail. A minor error is found in earlier work appearing in the literature.
| Item Type: | Article |
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| Uncontrolled Keywords: | Image processing, scale space, Riemannian geometry, Beltrami flow, harmonic map |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 09:45 |
| Last Modified: | 06 Feb 2024 09:45 |
| URI: | http://real.mtak.hu/id/eprint/187647 |
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