AbstractThe Koch Curve can be obtained as an iterated function system construction. Self-similar interpolation is possible for any function on the sets that are defined recursively. We prove that the Koch Curve (KC) is an analogue of the fractal interpolation theorem of Barnsley. Also the classical harmonic functions are defined on the KC as the degree 1 polynomials for self-similar interpolation
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
AbstractWe prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of ...
© 2020, Allerton Press, Inc. We propose a spherical and a hyperbolic (on the Lobachevskii plane) ana...
AbstractThe Koch Curve can be obtained as an iterated function system construction. Self-similar int...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
AbstractA methodology based on fractal interpolation functions is used in this work to define new re...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
We consider a special class of self-similar functions, the fractal interpolation functions, and prov...
The approximation of experimental data can be envisaged in the light of fractal\ud interpolation fun...
This chapter provides an overview of several types of fractal interpolation functions that are often...
We revisit the relation between the von Koch curve and the Thue-Morse sequence given in a recent pap...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
AbstractWe prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of ...
© 2020, Allerton Press, Inc. We propose a spherical and a hyperbolic (on the Lobachevskii plane) ana...
AbstractThe Koch Curve can be obtained as an iterated function system construction. Self-similar int...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
AbstractA methodology based on fractal interpolation functions is used in this work to define new re...
Classical ways to describe shape functions for finite element methods make use of interpolating or ...
An iterated function system that defines a fractal interpolation function, where ordinate scaling is...
The fractal interpolation functions defined by iterated function systems provide new methods of appr...
We consider a special class of self-similar functions, the fractal interpolation functions, and prov...
The approximation of experimental data can be envisaged in the light of fractal\ud interpolation fun...
This chapter provides an overview of several types of fractal interpolation functions that are often...
We revisit the relation between the von Koch curve and the Thue-Morse sequence given in a recent pap...
AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functio...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
AbstractWe prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of ...
© 2020, Allerton Press, Inc. We propose a spherical and a hyperbolic (on the Lobachevskii plane) ana...
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