A Unified Framework for Bases, Frames, Subspace Bases, and Subspace Frames
نویسنده
چکیده
Frame representations (e.g. wavelets) and subspace projections are important tools in many image processing applications. A unified framework for frames and subspace bases, as well as bases and subspace frames, is developed for finite dimensional vector spaces. Dual (subspace) bases and frames are constructed and the theory is generalized to weighted norms and seminorms. It is demonstrated how the framework applies to the cubic facet model, to normalized convolution, and to projection onto second degree polynomials.
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