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Université de la Rochelle |  |
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Université de la Rochelle | |
| HAL: hal-00695850, version 1 |
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| Clifford Fourier Transform and Spinor Representation of Images |
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| Thomas Batard 1Michel Berthier 2 |
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| (2012-05-10) |
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| We propose in this paper to introduce a spinor representation for images based on the work of T. Friedrich. This spinor representation generalizes to arbitrary surfaces (immersed in R^3) the usual Weierstrass representation of minimal surfaces (i.e. surfaces with constant mean curvature equal to zero). We investigate applications to image processing focusing on segmentation and Clifford Fourier analysis. All these applications involve sections of the spinor bundle of the image graph, that is spinor fields, satisfying the so-called Dirac equation. |
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| 1: | School of Mathematical Sciences [Tel Aviv] |
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Raymond and Beverly Sackler Faculty of Exact Sciences |
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| 2: | Mathématiques, Image et Applications (MIA) |
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Université de La Rochelle : EA3165 |
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| Subject | : | Mathematics/Differential Geometry Engineering Sciences/Signal and Image processing Computer Science/Signal and Image Processing |
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| Image Processing – Spin Geometry – Clifford Fourier Transform |
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| hal-00695850, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00695850 | |
| oai:hal.archives-ouvertes.fr:hal-00695850 | |
| From: Thomas Batard | |
| Submitted on: Thursday, 10 May 2012 10:09:21 | |
| Updated on: Thursday, 10 May 2012 16:07:08 | |
