BIVARIATE FRACTAL INTERPOLATION SURFACES: THEORY AND APPLICATIONS

被引：1
|
作者：
Drakopoulos, Vassileios [1 ]
Manousopoulos, Polychronis [1 ]
机构：
[1] Univ Athens, Dept Informat & Telecommun, Athens 15784, Greece
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 09期
关键词：
Bivariate; fractals; IFS; interpolation; surfaces; SMOOTHNESS;
D O I：
10.1142/S0218127412502203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the theory and applications of bivariate fractal interpolation surfaces constructed as attractors of iterated function systems. Specifically, such kind of surfaces constructed on rectangular domains have been used to demonstrate their efficiency in computer graphics and image processing. The methodology followed is based on the labeling used for the vertices of the rectangular domain rather than on the constraints satisfied by the contractivity factors or the boundary data.
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