Wavelet inversion of the k-plane transform and its application

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Abstract

We establish an inversion formula and a convolution-backprojection algorithm for the k-plane transform (0 < k < n) based on the wavelet theory. If k = n - 1, the proposed convolution-backprojection algorithm provides a novel method for the inversion of the Radon transform. We demonstrate that the proposed algorithm is easy to implement for global image reconstruction as well as local image reconstruction with the Lemarie-Mayer's wavelets. © 2006 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Convolution-backprojection algorithm
  • Wavelet inversion formula
  • k-plane transform

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Authors

  • Gangrong Qu

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