4D Dual-Tree Complex Wavelets for Time-Dependent Data

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Abstract

The dual-tree complex wavelet transform (DT-ℂWT) is extended to the 4D setting. Key properties of 4D DT-ℂWT, such as directional sensitivity and shift-invariance, are discussed and illustrated in a tomographic application. The inverse problem of reconstructing a dynamic three-dimensional target from X-ray projection measurements can be formulated as 4D space-time tomography. The results suggest that 4D DT-ℂWT offers simple implementations combined with useful theoretical properties for tomographic reconstruction.
Original languageEnglish
Title of host publication2021 21st International Conference on Computational Science and Its Applications (ICCSA) : Workshop Computational and Applied Mathematics (CAM 2021)
Number of pages11
PublisherIEEE
Publication date16 Mar 2022
Pages146-156
ISBN (Print)978-1-6654-5844-3
ISBN (Electronic)978-1-6654-5843-6
DOIs
Publication statusPublished - 16 Mar 2022
MoE publication typeA4 Article in conference proceedings
EventInternational Conference on Computational Science and Its Applications – ICCSA 2021 - University of Cagliari, Cagliari, Italy
Duration: 13 Sep 202116 Sep 2021

Fields of Science

  • 111 Mathematics
  • COMPLEX WAVELETS
  • Dynamic tomography

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