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Frame (linear algebra)
Known as:
Frame
, Frames (signal processing)
, Frame of a vector space
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In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the…
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Related topics
Related topics
17 relations
Basis (linear algebra)
Biorthogonal wavelet
Computer science
Data compression
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Broader (2)
Linear algebra
Signal processing
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Equiangular tight frames that contain regular simplices
M. Fickus
,
J. Jasper
,
E. King
,
D. Mixon
Linear Algebra and its Applications
2017
Corpus ID: 119320632
Highly Cited
2016
Highly Cited
2016
A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets
Rujie Yin
,
Tingran Gao
,
Yue M. Lu
,
I. Daubechies
SIAM Journal of Imaging Sciences
2016
Corpus ID: 872375
We propose an image representation scheme combining the local and nonlocal characterization of patches in an image. Our…
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Review
2012
Review
2012
Fast Finite Shearlet Transform: a tutorial
S. Hauser
,
G. Steidl
2012
Corpus ID: 17159258
3 Computation of the shearlet transform 13 3.1 Finite discrete shearlets…
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2010
2010
Filter Bank Fusion Frames
A. Chebira
,
M. Fickus
,
D. Mixon
IEEE Transactions on Signal Processing
2010
Corpus ID: 12645719
In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a…
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Highly Cited
2010
Highly Cited
2010
Optimized Projection Matrix for Compressive Sensing
Jianping Xu
,
Y. Pi
,
Z. Cao
EURASIP Journal on Advances in Signal Processing
2010
Corpus ID: 7032631
Compressive sensing (CS) is mainly concerned with low-coherence pairs, since the number of samples needed to recover the signal…
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Highly Cited
2005
Highly Cited
2005
Fe b 20 05 Equiangular Tight Frames From Paley Tournaments
J. Renes
2005
Corpus ID: 17275238
We prove the existence of equiangular tight frames having n = 2d − 1 elements drawn from either Cd or Cd−1 whenever n is either…
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Highly Cited
2003
Highly Cited
2003
Anisotropic Hardy spaces and wavelets
Marcin Bownik
2003
Corpus ID: 120964702
In this paper, motivated in part by the role of discrete groups of dilations in wavelet theory, we introduce and investigate the…
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Highly Cited
2001
Highly Cited
2001
Pyramidal directional filter banks and curvelets
M. Do
,
M. Vetterli
Proceedings International Conference on Image…
2001
Corpus ID: 22030
A flexible multiscale and directional representation for images is proposed. The scheme combines directional filter banks with…
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Review
2001
Review
2001
The Mathematical Theory of Wavelets
G. Weiss
,
E. Wilson
2001
Corpus ID: 15323325
We present an overview of some aspects of the mathematical theory of wavelets. These notes are addressed to an audience of…
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1993
1993
Texture discrimination using wavelets
M. Unser
Proceedings of IEEE Conference on Computer Vision…
1993
Corpus ID: 19841250
A new approach to the characterization of texture properties at multiple scales using an overcomplete wavelet transform is…
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