Fractal Interpolation Surfaces derived from Fractal Interpolation Functions
نویسندگان
چکیده
منابع مشابه
The Central Variation of Fractal Interpolation Surfaces Derived from Fractal Interpolation Functions
A construction method of fractal interpolation surface on a rectangular domain with arbitrary interpolation nodes is introduced. The variation properties of the bivariate functions corresponding to this type of fractal interpolation surfaces are discussed.
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where (x, y) ∈ S. The effects of an affine transform on a set are depicted in fig. 1. The union of N affine transformations is called the Hutchinson operator: W = ⋃N n=1 wn. For a specified metric the distance h(A, B) between two sets A, B can be defined. Under certain conditions [2] the Hutchinson operator is contractive, h(W (A),W (B)) ≤ sh(A, B), s < 1. Successive iterations with Hutchinson ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.01.112