A Randomized Singular Value Decomposition Algorithm for Image Processing Applications

نویسندگان

  • Eleni Drinea
  • Petros Drineas
  • Patrick Huggins
چکیده

The main contribution of this paper is to demonstrate that a new randomized SVD algorithm, proposed by Drineas et. al. in [4], is not only of theoretical interest but also a viable and fast alternative to traditional SVD algorithms in applications (e.g. image processing). This algorithm samples a constant number of rows (or columns) of the matrix, scales them appropriately to form a small matrix, say S, and then computes the SVD of S (which is a good approximation to the SVD of the original matrix). We experimentally evaluate the accuracy and speed of this algorithm for image matrices, using various probability distributions to perform the sampling.

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تاریخ انتشار 2001