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Sparse representations of signals have drawn considerable interest in recent years. The assumption that natural signals, such as images, admit a sparse decomposition over a redundant dictionary leads to efficient algorithms for handling such sources of data. In particular, the design of well adapted dictionaries for images has been a major challenge. The K-SVD has been recently proposed for this task [1] and shown to perform very well for various grayscale image processing tasks. In this paper, we address the problem of learning dictionaries for color images and extend the K-SVD-based grayscale image denoising algorithm that appears in [21. This work puts forward ways for handling nonhomogeneous noise and missing information, paving the way to state-of-the-art results in applications such as color image denoising, demosaicing, and inpainting, as demonstrated in this paper. [ABSTRACT FROM AUTHOR]

This paper examines measures for evaluating the performance of algorithms for single instruction stream-multiple data stream (SIMD) machines. The SIMD mode of parallelism involves using a large number of processors synchronized together. All processors execute the same instruction at the same time: however, each processor operates on a different data item. The complexity of parallel algorithms is, in general, a function of the machine size (number of processors), problem size, and type of interconnection network used to provide communications among the processors. Measures which quantity the effect of changing the machine-size/problem-size/network-type relationships are therefore needed. A number of such measures are presented and are applied to an example SIMD algorithm from the image processing problem domain. The measures discussed and compared include execution time, speed, parallel efficiency, overhead ratio, processor utilization, redundancy, cost effectiveness, speed-up of the parallel algorithm over the corresponding serial algorithm, and an additive measure called "price" which assigns a weighted value to computations and processors. [ABSTRACT FROM AUTHOR]