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

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Sammanfattning

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.
Originalspråkengelska
Titel på värdpublikation2021 21st International Conference on Computational Science and Its Applications (ICCSA) : Workshop Computational and Applied Mathematics (CAM 2021)
Antal sidor11
FörlagIEEE
Utgivningsdatum16 mars 2022
Sidor146-156
ISBN (tryckt)978-1-6654-5844-3
ISBN (elektroniskt)978-1-6654-5843-6
DOI
StatusPublicerad - 16 mars 2022
MoE-publikationstypA4 Artikel i en konferenspublikation
EvenemangInternational Conference on Computational Science and Its Applications – ICCSA 2021 - University of Cagliari, Cagliari, Italien
Varaktighet: 13 sep. 202116 sep. 2021

Vetenskapsgrenar

  • 111 Matematik

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