Compactly supported tight and sibling frames with maximum vanishing moments

By Charles K. Chui, Wenjie He, Joachim Stöckler. 2001

318 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/363785b8f9a4ef01c10cb6e2f134a280581f4eec

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Bin Han
2. Ivan W. Selesnick
3. Martin Ehler
4. Zuowei Shen
5. Amos Ron
6. Ingrid Daubechies
7. Minh N. Do
8. Jian-Feng Cai

In Geophysics

1. Bin Han
2. Martin Ehler
3. Ingrid Daubechies
4. Zuowei Shen
5. Minh N. Do
6. Ivan W. Selesnick

In Statistical and Nonlinear Physics

1. Bin Han
2. Minh N. Do
3. Martin Ehler
4. Ivan W. Selesnick

Citations in the corpus

• Symmetric wavelet tight frames with two generators (2004, methodology): “This form of the PR conditions has been investigated in detail and used in [3,7,13] for a more g form of the problem.”
• On Multivariate Compactly Supported Bi-Frames (2007, methodology): “Finally, we present the MOEP as obtained in [5, 10] for the constructions of bi–frames.”
• Dual Wavelet Frames and Riesz Bases in Sobolev Spaces (2009, background): “4, the OEP (Oblique Extension Principle) in [11, 21] (also see [20] for a comprehensive study of dual wavelet frames obtained by OEP) can be easily generalized from L2(R) to Sobolev spaces.”
• Pairs of Dual Wavelet Frames from Any Two Refinable Functions (2004, background): “Tight wavelet frames and dual wavelet frames have been investigated in [2, 6] for the case d = 2.”
• Generalized Shift-Invariant Systems (2005, unknown): “, [14], [20], [24], [39], [40], [41]).”
• The double-density dual-tree DWT (2004, background): “In addition, the double-density DWT is an example of an affine frame; see [3], [4], [7], [18], [19], [21], and [22].”
• Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix (2003, background): “Recently, interesting progresses have been made in [ 3 , 10, 11] to obtain univariate tight wavelet frames with high vanishing moments.”
• Framelets: MRA-based constructions of wavelet frames☆☆☆ (2003, background): “More recently, Chui, He, and Stöckler completed an independent article [11] in which several results overlap ours.”
• Directional multiresolution image representations (2002, background): “The analysis and design of oversampled FB’s for wavelet frames is currently an area of active research [128, 43, 29, 146].”