26 citations · 59 across the 28 of their papers we have counts for
7 papers · 1 filter
Fractal Interpolation over Nonlinear Partitions
Peter R. Massopust
This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions an…
Dimension preserving approximation
S. Verma, Peter R. Massopust
This article introduces the novel notion of dimension preserving approximation for continuous functions defined on and initiates the study of it. Restrictions and extension…
Hypercomplex Iterated Function Systems
Peter Massopust
We introduce the novel concept of hypercomplex iterated function system (IFS) on the complete metric space and define its hypercomplex attractor. Systems o…
On the Mathematical Validity of the Higuchi Method
Lukas Liehr, Peter Massopust
In this paper, we discuss the Higuchi algorithm which serves as a widely used estimator for the box-counting dimension of the graph of a bounded function . We for…
On Some Generalizations of B-Splines
Peter Massopust
In this article, we consider some generalizations of polynomial and exponential B-splines. Firstly, the extension from integral to complex orders is reviewed and presented. The sec…
Numerics and Fractals
Michael F. Barnsley, Markus Hegland, Peter Massopust
Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points ar…