Fractal Interpolation: From Global to Local, to Nonstationary and Quaternionic
Peter R Massopust
TL;DR
This paper introduces fractal interpolation techniques, extending from global to local, non-stationary, and quaternionic frameworks, providing a comprehensive overview of the subject.
Contribution
It presents a novel quaternionic approach to fractal interpolation, expanding the scope beyond traditional methods.
Findings
Extended fractal interpolation to non-stationary settings
Introduced quaternionic fractal interpolation framework
Provided a comprehensive overview of fractal interpolation methods
Abstract
We present an introduction to fractal interpolation beginning with a global set-up and then extending to a local, a non-stationary, and finally the novel quaternionic setting. Emphasis is placed on the overall perspective with references given to the more specific questions.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Computational Physics and Python Applications · Mathematical Dynamics and Fractals