Analysis of framelet transforms on a simplex

Yu Guang Wang; Houying Zhu

doi:10.1007/978-3-319-72456-0_54

Analysis of framelet transforms on a simplex

Yu Guang Wang, Houying Zhu

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Citations (Scopus)

Abstract

In this paper, we construct framelets associated with a sequence of quadrature rules on the simplex T² in ℝ². We give the framelet transforms- decomposition and reconstruction of the coefficients for framelets of a function on T². We prove that the reconstruction is exact when the framelets are tight. We give an example of construction of framelets and show that the framelet transforms can be computed as fast as FFT.

Original language	English
Title of host publication	Contemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan
Editors	Josef Dick, Frances Y. Kuo, Henryk Woźniakowski
Place of Publication	Cham
Publisher	Springer, Springer Nature
Pages	1175-1189
Number of pages	15
ISBN (Electronic)	9783319724560
ISBN (Print)	9783319724553
DOIs	https://doi.org/10.1007/978-3-319-72456-0_54
Publication status	Published - 2018
Externally published	Yes

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10.1007/978-3-319-72456-0_54

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Analysis of framelet transforms on a simplex

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