2013
A QUADRATIC SPLINE-WAVELET BASIS ON THE INTERVAL
FINĚK, Václav, Dana ČERNÁ and Martina ŠIMŮNKOVÁBasic information
Original name
A QUADRATIC SPLINE-WAVELET BASIS ON THE INTERVAL
Authors
FINĚK, Václav (203 Czech Republic, belonging to the institution), Dana ČERNÁ (203 Czech Republic, belonging to the institution) and Martina ŠIMŮNKOVÁ (203 Czech Republic, belonging to the institution)
Edition
Praha, PROGRAMS AND ALGORITHMS OF NUMERICAL MATHEMATICS 16, p. 29-34, 6 pp. 2013
Publisher
ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, ZITNA 25, PRAHA 1, CZ-115 67, CZECH REPUBLIC
Other information
Language
English
Type of outcome
Proceedings paper
Field of Study
General mathematics
Confidentiality degree
is not subject to a state or trade secret
Publication form
printed version "print"
References:
RIV identification code
RIV/46747885:24510/13:#0001006
Organization
Faculty of Science, Humanities and Education – Technical University of Liberec – Repository
ISBN
978-80-85823-62-2
UT WoS
317994100005
Keywords in English
BASES
Links
EE2.3.09.0155, research and development project.
Changed: 10/3/2015 13:50, RNDr. Daniel Jakubík
Abstract
V originále
In signal and image processing as well as in numerical solution of differential equations, wavelets with short support and with vanishing moments are important because they have good approximation properties and enable fast algorithms. A B-spline of order m is a spline function that has minimal support among all compactly supported refinable functions with respect to a given smoothness. And recently, B. Han and Z. Shen constructed Riesz wavelet bases of L-2(R) with m vanishing moments based on B-spline of order in. In our contribution, we present an adaptation of their quadratic spline-wavelets to the interval [0,1] which preserves vanishing moments.