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  • 标题:Implementation of a Denoising Algorithm Based on High-Order Singular Value Decomposition of Tensors
  • 本地全文:下载
  • 作者:Fabien Feschet
  • 期刊名称:Image Processing On Line
  • 电子版ISSN:2105-1232
  • 出版年度:2019
  • 卷号:9
  • 页码:158-182
  • DOI:10.5201/ipol.2019.226
  • 出版社:Image Processing On Line
  • 摘要:

    This article presents an implementation of a denoising algorithm based on High-Order Singular Value Decomposition (HOSVD) of tensors. It belongs to the class of patch-based methods such as BM3D and NL-Bayes. It exploits the grouping of similar patches in a local neighbourhood into a 3D matrix also called a third order tensor. Instead of performing different processing in different dimension, as in BM3D for instance, it is based on the decomposition of a tensor simultaneously in all dimensions reducing it to a core tensor in a similar way as SVD does for matrices in computing the diagonal matrix of singular values. The core tensor is filtered and a tensor is reconstructed by inverting the HOSVD. As common in patch-based algorithms, all tensors containing a pixel are then merged to produce an output image.

  • 关键词:denoising; sparsity; adaptive grouping; tensor; high;order singular value decomposition
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