TERMIUM Plus®

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FRACTAL COMPRESSION [4 records]

Record 1 1995-02-21

English

Subject field(s)
  • Information Processing (Informatics)
  • Computer Graphics
CONT

Video compression ratios available from various vendors of full-motion video boards range up to 160 : 1 and perform adequately on standalone multimedia desktop platforms transmitting image data from CD-ROM or videodisk peripherals. However, these compression ratios will not be sufficient for effective transmission of complex videos and renderings that are being produced by engineering designers or even simpler videos in highly interactive multiuser networked environments. The solution, however, is already on the horizon in the form of fractional dimensional compression techniques(fractals) that can reach astonishing compression ratios of 10, 000 : 1. This is possible because fractals, despite their apparent complexity, have a very low information content and can be specified as relatively simple expressions. Fractal compression is obtained via mathematical functions that describe a sequence of transformations of an image and when applied repeatedly, converge on a unique fractal. Fractal compression algorithms can be incorporated in software or VLSI microchips and, if applied to a typical CD-ROM disk, should provide nearly seven hours of full-motion.

French

Domaine(s)
  • Traitement de l'information (Informatique)
  • Infographie
CONT

Le principe de la compression fractale réside dans la recherche de formes ou de motifs répétitifs dans une image, et dans le codage mathématique sous forme d'équations de ces motifs. Il est également possible de définir et d'exploiter des bibliothèques de motifs, afin d'améliorer la compression sur des séries d'images identiques.

Spanish

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Record 2 1994-08-01

English

Subject field(s)
  • Physics

French

Domaine(s)
  • Physique
DEF

Système infographique constitué d'un langage décrivant les propriétés topologiques des images, de fonctions, de spécifications d'espace, de transformations affines et de mappages contractants, qui relie les séquences binaires d'un modèle mathématique à des images infinies par approximations successives.

Spanish

Save record 2

Record 3 1994-04-12

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

Fractal image compression systems relate finite strings of zeros and ones to infinite images in a smooth and continuous manner. They make use of approximating entities(image approximants) which, on the one hand, represent the very members of the mathematical space we have chosen for making images, and, on the other hand, are controlled by finitely many parameters....

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Entité mathématique telle une transformée fractale ou un système de fonctions itérées qui représente, par approximations successives, les éléments d'un espace métrique générateurs d'image.

OBS

L'approximant est spécifié par une séquence binaire et défini à l'aide de paramètres dénombrables.

PHR

classe, famille d'approximants.

Spanish

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Record 4 1994-02-25

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

Fractal Image Compression is about the mathematical ideas that lie behind the photographs and other pictures on Encarta. They are all fractals! They are stored as highly compressed data files produced using fractal image compression. Fractal image compression involves three basic mathematical modeling problems. The required models are [:] a mathematical model for real world image, a model for approximating model images by means of resolution independent image approximants, which must be described by finite data strings, and a computationally tractable model for the sources of the data strings, to enable the application of information theory to provide efficient representation of the image approximants.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Suppression automatique de tous les octets superflus dans une image numérisée, à l'aide d'algorithmes fractals qui combinent la théorie de l'information et la perception visuelle pour décrire des formes compliquées au moyen de formules très simples. Le stockage de ces formules permet la reconstruction par itération des images de départ.

OBS

Les images codées en formules fractales ont un taux de compression de 70:1 et sont reconstruites sans aucune détérioration. Or, au-delà d'un taux de l0:1, les techniques habituelles risquent fort de nuire à la reconstruction de l'image. Technique déjà appliquée avec succès à la compression d'images sismiques en utilisant un algorithme fractal inspiré de la courbe de Peano. Voir les travaux récents de M. Barnsley.

PHR

compression fractale automatique, manuelle.

PHR

compression fractale à échelle de gris.

Spanish

Save record 4

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