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| HAL: hal-00505281, version 3 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-07-24) | v2 (2011-06-07) | v3 (2011-09-06) |
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| The Transparent Dead Leaves Model |
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| Bruno Galerne 1Yann Gousseau 2 |
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| (2011-09-06) |
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| This paper introduces the transparent dead leaves (TDL) random field, a new germ-grain model in which the grains are combined according to a transparency principle. Informally, this model may be seen as the superposition of infinitely many semi-transparent objects. It is therefore of interest in view of the modeling of natural images. Properties of this new model are established and a simulation algorithm is proposed. The main contribution of the paper is to establish a central limit theorem, showing that when varying the transparency of the grain from opacity to total transparency, the TDL model ranges from the dead leaves model to a Gaussian random field. |
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| 1: | Centre de Mathématiques et de Leurs Applications (CMLA) |
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CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan |
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| 2: | Laboratoire traitement et communication de l'information (LTCI) |
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CNRS : UMR5141 – Institut Télécom – Télécom ParisTech |
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| Subject | : | Mathematics/Probability |
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| Germ-grain model – dead leaves model – transparency – occlusion – image modeling – texture modeling |
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| hal-00505281, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00505281 | |
| oai:hal.archives-ouvertes.fr:hal-00505281 | |
| From: Bruno Galerne | |
| Submitted on: Tuesday, 6 September 2011 17:42:06 | |
| Updated on: Tuesday, 6 September 2011 18:37:37 | |
