| Type de publication : |
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Conférences invitées |
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| Domaine : |
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Informatique/Logiciel mathématique
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| Titre : |
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A Library of OpenGL-Based Mathematical Image Filters |
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| Auteur(s) : |
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Martin Von Gagern ( ,  ) 1, Christian Mercat (, ) 2, 3 |
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| Laboratoire : |
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| Équipe de recherche : |
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Zentrum Mathematik |
| Résumé : |
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There are a lot of transformations that can turn one raster image into a derived one in a mathematically interesting way. This article describes a collection of such filters, implemented in OpenGL in order to use the high degree of parallelism modern GPUs provide, thereby providing performance required to process e.g. live camera images in real-time. The filters contained in this library include wallpaper groups, conformal maps described by meromorphic functions, as well as hyperbolic symmetry groups. Using examples of increasing complexity, several key implementation techniques are explained, including texture wrap configurations, user-configurable control points, and custom fragment shader programs. This work might exhibit aesthetic aspects of mathematics to the masses and provide useful building blocks for scientists as well as artists. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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2010 |
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| Titre de l'ouvrage : |
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Mathematical Software - ICMS 2010 |
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| Audience : |
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internationale |
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| Date de publication : |
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2010 |
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| Volume : |
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6327/2010 |
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| Page, identifiant, ... : |
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174-185 |
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| Éditeur commercial : |
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Springer Berlin / Heidelberg |
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| Éditeur scientifique : |
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Fukuda, Komei and Hoeven, Joris and Joswig, Michael and Takayama, Nobuki |
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| Série/Collection : |
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Lecture Notes in Computer Science |
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| Titre de la conférence : |
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Third International Congress on Mathematical Software |
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| Date de la conférence : |
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13/09/2010 |
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| Date de la conférence (fin) : |
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17/09/2010 |
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| Ville : |
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Kobe |
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| Pays : |
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Japon |
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| Mots Clés : |
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Transformation – tiling – wallpaper group – conformal map – meromorphic function – hyperbolic geometry – GPU – parallelism – webcam |
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