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Frame (linear algebra)

Known as: Frame, Frames (signal processing), Frame of a vector space 
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 waveletComputer scienceData compression

Broader (2)

Linear algebraSignal processing

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2011
2011
Gmra-Based Construction of Framelets in Reducing Subspaces of L2(ℝd)
This paper develops GMRA-based construction procedures of Parseval framelets in the setting of reducing subspaces of L2(ℝd). A… 
2010
2010
Wavelet frame based scene reconstruction from range data
2008
2008
The Role of Frame Force in Quantum Detection
A general method is given to solve tight frame optimization problems, borrowing notions from classical mechanics. In this article… 
2007
2007
A generalization of Gram–Schmidt orthogonalization generating all Parseval frames
Abstract Given an arbitrary finite sequence of vectors in a finite-dimensional Hilbert space, we describe an algorithm, which… 
2007
2007
Sparse shearlet representation of Fourier integral operators
Fourier Integral Operators appear naturally in a variety of problems related to hyperbolic partial differential equations. While… 
2006
2006
Tight frames and geometric properties of wavelet sets
A construction for providing single dyadic orthonormal wavelets in Euclidean space ℝd is given. It is called the general… 
2006
2006
Frames In Hilbert C*-modules
Since the discovery in the early 1950’s, frames have emerged as an important tool in signal processing, image processing, data… 
Highly Cited
2003
Highly Cited
2003
ABSTRACT HARMONIC ANALYSIS AND WAVELETS IN R
HARMONIC ANALYSIS AND WAVELETS IN R Lawrence W. Baggett and Kathy D. Merrill Abstract. Necessary and sufficient conditions are… 
1996
1996
Time-varying filters and filter banks: some basic principles
We study the fundamentals of time-varying filter banks (TVFB). Using a polyphase approach to TVFBs, we are able to show some… 
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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