TERMIUM Plus®

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FRACTAL BOUNDARY [5 records]

Filter results by subject field Alphabetical list of terms

Filter results by subject field

Alphabetical list of terms

Record 1 2017-04-07

English

Subject field(s)
  • Computer Mathematics
DEF

Pertaining to a geometrical shape whose structure is such, that magnification of the detail by a given factor reproduces the original object.

PHR

fractal algorithm, fractal art, fractal attractor, fractal boundary, fractal cove, fractal city, fractal concept, fractal curve, fractal definition, fractal dimension, fractal domain, fractal fern, fractal geometry, fractal goose, fractal graphics, fractal growth, fractal heaven, fractal hell, fractal hexagon, fractal image, fractal Julia set, fractal Koch flake, fractal landscape, fractal lattice measure, fractal modeling, fractal monster, fractal motion, fractal noise, fractal number, fractal object, fractal paradox, fractal pattern, fractal self-similarity, fractal stable, fractal structure, fractal surface, fractal time, fractal tree, fractal vision.

French

Domaine(s)
  • Mathématiques informatiques
DEF

Relatif aux structures et aux systèmes dynamiques dont les éléments présentent une certaine similarité à l'ensemble quelle que soit l'échelle de l'examen.

OBS

S'applique aux changements spatio-temporels tels le bruit électronique dans les semi-conducteurs, les fluctuations de voltage dans les membranes neurales, les crues périodiques des eaux, les variations des indices économiques et du trafic routier, les battements du cœur, etc. Selon B. Mandelbrot, créateur du terme en 1975, le concept n'a pas encore de définition mathématique généralement acceptée. Le terme est dérivé du latin «fractus» qui signifie «fragmenté», «irrégulier». Le masculin pluriel est «fractals», le féminin pluriel, fractales».

PHR

aérogel fractal, agrégat fractal, aire fractale, algorithme fractal, analyse fractale, arbre fractal, art fractal, attracteur fractal, autosimilarité fractale, bruit fractal, chaos fractal, codimension fractale, compression d'images fractale, courbe fractale, continent fractal, côte fractale, croissance fractale, débit fractal, densité fractale, diffraction fractale, dimension fractale, distribution fractale, échelle fractale, ensemble fractal, éponge fractale, équation fractale, espace-temps fractal, fonction fractale, figure fractale, flèche du temps fractale, fonction d'interpolation fractale, forme fractale, fromage fractal, front de diffusion fractal, frontière fractale, générateur fractal, génération fractale, géométrie fractale, groupe fractal, hasard fractal, île fractale, image fractale, imagerie fractale, infographie fractale, interface fractale, intermittence du bruit fractale, lac fractal, langage fractal, ligne fractale, masse fractale, mesure fractale, modèle fractal, modélisation fractale, monstre fractal, montagne fractale, motif fractal, musique fractale, nature de la turbulence fractale, nombre fractal, objet fractal, ordinateur fractal, ordre fractal, pavage fractal, paysage fractal, périmètre fractal, plaque fractale, profil fractal, reconnaissance d'image fractale, rythme fractal, segmentation fractale, structure fractale, surface fractale, synthèse fractale, système fractal, tambour fractal, temps fractal, texture fractale, théorie fractale, tortuosité fractale, trajectoire fractale, transformation fractale, transformée fractale, vidéocompression fractale, vision fractale, zone fractale.

Spanish

Save record 1

Record 2 2002-11-05

English

Subject field(s)
  • Computer Graphics
  • Mathematics
DEF

A method for solving the Laplace equation without using an underlying lattice. Applied in simulation techniques involving aggregation of particles and fractal pattern formation. The interfacial pattern is approximated as a piecewise linear with uniform monopole sources. A given interface uniquely determines the source distribution which, in turn, uniquely determines the velocity distribution along the interface. Based on Green’s function, an integro-differential equation, and on the Dirac delta function.

CONT

Investigations based on the boundary integral method demonstrate that noise is not a necessary ingredient of an algorithm producing DLA-type patterns since they can be grown using deterministic equations. This result is supported by multifractal analysis. The fractal dimension of off-lattice DLA clusters in the asymptotic limit may be approximately equal to 1. 65.

French

Domaine(s)
  • Infographie
  • Mathématiques

Spanish

Save record 2

Record 3 1995-10-16

English

Subject field(s)
  • Mathematics
  • Computer Graphics
DEF

A line or area which determines inclusion in a fractal set.

OBS

Claude Tricot’s paper considers the main notions of interior and exterior dimensions of open sets with fractal boundaries.

CONT

fractal border region

CONT

boundary of attractive basin, forward orbit, backward orbit, or boundary of a repellor.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Ensemble des éléments délimitant une forme fractale.

OBS

Frontière intérieure ou extérieure d'un bassin d'attraction. Dans le cas des transformations ponctuelles planes, elle se comporte parfois comme une séparatrice. Les frontières simples ne sont pas toujours différentiables en tous points.

PHR

caractériser, créer, franchir une frontière fractale.

PHR

frontière fractale dangereuse dynamiquement, différentiable en tous points, entrephase, extérieure, floue (d'un bassin attracteur), intérieure, non dangereuse de stabilité, ordinaire, séparatrice.

PHR

frontière fractale de bassin attracteur, d'enveloppe convexe, d'un motif de croissance.

Spanish

Save record 3

Record 4 1994-05-11

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

DLA and the Harmonic Measure. How can we best characterise the surface or perimeter of... fractal structures? The harmonic measure affords a method of quantitatively characterising such surfaces. This(probability) measure is defined(with respect to a particular cluster) as the probability,... of a random walker approaching the cluster from infinity first striking the cluster between the points... along the boundary of the cluster.

French

Domaine(s)
  • Mathématiques
  • Infographie

Spanish

Save record 4

Record 5 1989-12-18

English

Subject field(s)
  • Computer Graphics
  • Mathematics
DEF

The boundary of the interior part of a random fractal.

CONT

The Brown hull is a very complex curve resembling a coastline. According to the numerical results (Mandelbrot 1982) it is self-similar and has the same dimension as that of self-avoiding random walks.

OBS

See envelope.

CONT

percolation cluster hull.

French

Domaine(s)
  • Infographie
  • Mathématiques
DEF

Frontière fractale aléatoire.

CONT

Dans les fractals par diffusion, le «front de diffusion» s'identifie à l'enveloppe externe de l'amas de percolation.

CONT

Enveloppe convexe d'une courbe de Mandelbrot.

Spanish

Save record 5

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