Hidden Variable Bivariate Fractal Interpolation Surfaces
Keyword(s):
We construct hidden variable bivariate fractal interpolation surfaces (FIS). The vector valued iterated function system (IFS) is constructed in ℝ4 and its projection in ℝ3 is taken. The extra degree of freedom coming from ℝ4 provides hidden variable, which is an important factor for flexibility and diversity in the interpolated surface. In the present paper, we construct an IFS that generates both self-similar and non-self-similar FIS simultaneously and show that the hidden variable fractal surface may be self-similar under certain conditions.
2019 ◽
Vol 12
(02)
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pp. 1950021
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2018 ◽
Vol 167
(01)
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pp. 193-207
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Keyword(s):
2013 ◽
Vol 408
(2)
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pp. 694-704
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2009 ◽
Vol 23
(03)
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pp. 513-516
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