Compactly Supported Tight Frames Associated with Refinable Functions

Charles K. Chui, Wenjie He

Type: Article

Publication Date: 2000-05-01

Citations: 208

DOI: https://doi.org/10.1006/acha.2000.0301

View Publication

Locations

Applied and Computational Harmonic Analysis - View

Similar Works

Action	Title	Year	Authors
+	Recent Development of Spline Wavelet Frames with Compact Support	2003	Charles K. Chui Joachim Stöckler
+	Generalized Matrix Spectral Factorization and Quasi-tight Framelets with Minimum Number of Generators	2018	Chenzhe Diao Bin Han
+ PDF Chat	Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions	2021	Bin Han Ran Lu
+	Compactly supported tight and sibling frames with maximum vanishing moments	2002	Charles K. Chui Wenjie He Joachim Stöckler
+ PDF Chat	New Tight Wavelet Frame Constructions Sharing Responsibility	2024	Youngmi Hur Hyojae Lim
+	Explicit Construction of Framelets	2001	Alexander Petukhov
+	Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix	2003	Bin Han
+	Nonstationary tight wavelet frames, II: unbounded intervals	2004	Charles K. Chui Wenjie He Joachim Stöckler
+ PDF Chat	Tight compactly supported wavelet frames of arbitrarily high smoothness	1998	Karlheinz Gröchenig Amos Ron
+	Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions	2018	Chenzhe Diao Bin Han
+	Tight frames of compactly supported multivariate multi-wavelets	2009	Maria Charina Charles K. Chui Wenjie He
+	Tight frames of compactly supported affine wavelets	2009	Wayne Lawton
+	Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators	2020	Chenzhe Diao Bin Han
+	Multivariate Quasi-tight Framelets with High Balancing Orders Derived from Any Compactly Supported Refinable Vector Functions	2020	Bin Han Ran Lu
+	Multivariate Quasi-tight Framelets with High Balancing Orders Derived from Any Refinable Vector Functions.	2020	Bin Han Ran Lu
+	COMPACTLY SUPPORTED SYMMETRIC TIGHT WAVELET FRAMES CONSTRUCTED FROM QUASI-INTERPOLATORY SUBDIVISION MASKS	2006	Byeongseon Jeong Myungjin Choi Hong Oh Kim
+	Construction of Multivariate Tight Frames via Kronecker Products	2001	Charles K. Chui Wenjie He
+	Quasi-tight Framelets with Directionality or High Vanishing Moments Derived from Arbitrary Refinable Functions	2018	Chenzhe Diao Bin Han
+ PDF Chat	Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators	2013	Á. San Antolín R.A Zalik
+	Framelets: MRA-based constructions of wavelet frames	2003	Ingrid Daubechies Bin Han Amos Ron Zuowei Shen

Works That Cite This (171)

Action	Title	Year	Authors
+	Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness	2016	Bin Han Qingtang Jiang Zuowei Shen Xiaosheng Zhuang
+ PDF Chat	Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets	2023	Chenzhe Diao Bin Han Ran Lu
+ PDF Chat	Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor	2012	Yongdong Huang Qiufu Li Ming Li
+ PDF Chat	Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix	2013	Zhu Fengjuan Qiufu Li Yongdong Huang
+	Approximation of frame based missing data recovery	2010	Jian‐Feng Cai Zuowei Shen Gui–Bo Ye
+ PDF Chat	A Class of Weak Dual Wavelet Frames for Reducing Subspaces of Sobolev Spaces	2022	Jianping Zhang
+	Pseudo-splines, wavelets and framelets	2006	Bin Dong Zuowei Shen
+	Extension Principles for Dual Multiwavelet Frames of $$L_2(\mathbb {R}^s)$$ L 2 ( R s ) constructed from Multirefinable Generators	2015	Nikolaos Atreas Manos Papadakis Theodoros Stavropoulos
+ PDF Chat	Conjugate Symmetric Complex Tight Wavelet Frames with Two Generators	2013	Yanmei Xue
+	Symmetric nearly shift-invariant tight frame wavelets	2004	A. Farras Abdelnour Ivan Selesnick

Works Cited by This (10)

Action	Title	Year	Authors
+	An introduction to wavelets	1992	Charles K. Chui
+	A Study of Asymptotically Optimal Time-frequency Localization by Scaling Functions and Wavelets	2000	Charles K. Chui Jianzhong Wang
+	Wavelets: A Mathematical Tool for Signal Analysis	1997	Charles K. Chui
+ PDF Chat	Compactly supported tight affine spline frames in 𝐿₂(ℝ^{𝕕})	1998	Amos Ron Zuowei Shen
+	Affine Systems inL2(Rd): The Analysis of the Analysis Operator	1997	Amos Ron Zuowei Shen
+	Tight frames of compactly supported affine wavelets	1990	Wayne Lawton
+	On Dual Wavelet Tight Frames	1997	Bin Han
+ PDF Chat	An algorithm for matrix extension and wavelet construction	1996	Wayne Lawton Sangyeol Lee Zuowei Shen
+ PDF Chat	Orthonormal bases of compactly supported wavelets	1988	Ingrid Daubechies
+	Biorthogonal bases of compactly supported wavelets	1992	Albert Cohen Ingrid Daubechies Jean-Christophe Feauveau