Forms of representation of interpolation trigonometric splines
Volodymyr Denysiuk, Lyudmila Rybachuk
TL;DR
This paper explores three different ways to represent trigonometric interpolation splines, including polynomial coefficients, B-splines, and fundamental splines, extending some forms to non-periodic functions.
Contribution
It introduces and compares three forms of representing trigonometric interpolation splines, with detailed focus on B-splines and generalizations to non-periodic functions.
Findings
Representation by trigonometric polynomial coefficients
Representation by trigonometric B-splines
Extension to non-periodic functions
Abstract
Three forms of representation of trigonometric interpolation splines are considered, in particular, the representation by the coefficients of the interpolation trigonometric polynomial, the representation by trigonometric B-splines, which are considered in more detail, and the representation by fundamental trigonometric splines. The first and third forms of representation are generalized to the case of non-periodic functions.
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
TopicsAdvanced Research in Science and Engineering · Advanced Computational Techniques in Science and Engineering · Aerospace, Electronics, Mathematical Modeling