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Over the past few decades, matrix factorization has attracted considerable attention for image representation. It is desired for a matrix factorization technique to find the basis that is able to capture highly discriminant information as well as to preserve the intrinsic manifold structure. Besides, the basis has to generate a sparse representation for a given image. In this paper, we propose a matrix...
Wavelet-based image processing techniques such as de-noising and multiresolution representation typically model the wavelet coefficient as independently or jointly fixed numbers. These models are unrealistic for some real world signals. In the paper, we develop a new framework for subdivision wavelet based on 4-point interpolatory subdivision scheme of N. Dyn and D. Levin. The new subdivision wavelet...
The reverse of subdivision provides a simple method for grasping the feature of image information. We generalize the reverse of subdivision scheme to subdivision wavelet, and provide simple subdivision wavelet coefficients, which will be useful in image processing. Because of the approximating property of the subdivision scheme given by Limei Zhang et al we use the scheme as a tool for illustrating...
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