Spectrum of Fractal Interpolation Functions
Nikolaos Vasiloglou, Petros Maragos
TL;DR
This paper presents an analytical method to compute the Fourier spectrum of Fractal Interpolation Functions and explores solving the inverse problem using spectral information.
Contribution
It introduces a novel analytical approach for spectral computation of FIFs and addresses the inverse problem leveraging spectral data.
Findings
Fourier spectrum of FIFs can be computed analytically.
Spectral methods can be used to solve the inverse problem of FIFs.
Abstract
In this paper we compute the Fourier spectrum of the Fractal Interpolation Functions FIFs as introduced by Michael Barnsley. We show that there is an analytical way to compute them. In this paper we attempt to solve the inverse problem of FIF by using the spectrum
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Complex Systems and Time Series Analysis