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Scale-Free Fractal Interpolation

Abstract
An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here. In such a manner, fractal interpolation functions associated with Matkowski contractions for finite as well as infinite (countable) sets of data are obtained. Furthermore, we construct an extension of the concept of α-fractal interpolation ...
Keywords
Iterated function system
Mathematics
Fractal
Interpolation (computer graphics)
Nearest-neighbor interpolation
Fractal derivative
Mathematical analysis
Linear interpolation
Fractal analysis
Fractal dimension
Computer science
Artificial intelligence
Motion (physics)
Polynomial


pdf file

Scale-Free Fractal Interpolation
pdf file

Scale-Free Fractal Interpolation

Abstract
An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here. In such a manner, fractal interpolation functions associated with Matkowski contractions for finite as well as infinite (countable) sets of data are obtained. Furthermore, we construct an extension of the concept of α-fractal interpolation ...
Keywords
Iterated function system
Mathematics
Fractal
Interpolation (computer graphics)
Nearest-neighbor interpolation
Fractal derivative
Mathematical analysis
Linear interpolation
Fractal analysis
Fractal dimension
Computer science
Artificial intelligence
Motion (physics)
Polynomial


pdf file