Periodic Splinets
(2025) In Communications in Statistics: Simulation and Computation p.1-16- Abstract
- Periodic splines represent a specific category of splines, defined across a series of knots on a circle, making them particularly suitable for addressing interpolation challenges associated with closed curves and representing functions defined on a circle. Although the term ‘periodic’ suggests temporal context, the periodic splines can represent any data that have a circle as their domain. This paper introduces a method for implementing objects that represent such splines and outlines the derivation of an efficient orthogonal basis. The newly proposed orthonormalized basis, referred to as a periodic splinet, builds upon concepts and tools previously introduced for interval-based splines. Employing this methodology, periodic splines and... (More)
- Periodic splines represent a specific category of splines, defined across a series of knots on a circle, making them particularly suitable for addressing interpolation challenges associated with closed curves and representing functions defined on a circle. Although the term ‘periodic’ suggests temporal context, the periodic splines can represent any data that have a circle as their domain. This paper introduces a method for implementing objects that represent such splines and outlines the derivation of an efficient orthogonal basis. The newly proposed orthonormalized basis, referred to as a periodic splinet, builds upon concepts and tools previously introduced for interval-based splines. Employing this methodology, periodic splines and splinets have been integrated into an updated version of the R package, Splinets 1.5.0. Additionally, the computational tools developed in this study have been applied to the functional analysis of a prototypical example of circular functional data, namely wind direction and speeds. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/ffd861f4-7fb7-4a0c-8081-e3c10e7099d7
- author
- Nassar, Hiba and Podgórski, Krzysztof LU
- organization
- publishing date
- 2025
- type
- Contribution to journal
- publication status
- epub
- subject
- in
- Communications in Statistics: Simulation and Computation
- pages
- 1 - 16
- publisher
- Taylor & Francis
- external identifiers
-
- scopus:85214659989
- ISSN
- 0361-0918
- DOI
- 10.1080/03610918.2024.2443782
- language
- English
- LU publication?
- yes
- id
- ffd861f4-7fb7-4a0c-8081-e3c10e7099d7
- date added to LUP
- 2025-03-25 12:29:04
- date last changed
- 2025-04-04 13:53:22
@article{ffd861f4-7fb7-4a0c-8081-e3c10e7099d7,
abstract = {{Periodic splines represent a specific category of splines, defined across a series of knots on a circle, making them particularly suitable for addressing interpolation challenges associated with closed curves and representing functions defined on a circle. Although the term ‘periodic’ suggests temporal context, the periodic splines can represent any data that have a circle as their domain. This paper introduces a method for implementing objects that represent such splines and outlines the derivation of an efficient orthogonal basis. The newly proposed orthonormalized basis, referred to as a periodic splinet, builds upon concepts and tools previously introduced for interval-based splines. Employing this methodology, periodic splines and splinets have been integrated into an updated version of the R package, Splinets 1.5.0. Additionally, the computational tools developed in this study have been applied to the functional analysis of a prototypical example of circular functional data, namely wind direction and speeds.}},
author = {{Nassar, Hiba and Podgórski, Krzysztof}},
issn = {{0361-0918}},
language = {{eng}},
pages = {{1--16}},
publisher = {{Taylor & Francis}},
series = {{Communications in Statistics: Simulation and Computation}},
title = {{Periodic Splinets}},
url = {{http://dx.doi.org/10.1080/03610918.2024.2443782}},
doi = {{10.1080/03610918.2024.2443782}},
year = {{2025}},
}