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PreprintCC BY 4.0arXiv

Enhanced attenuation modelling for multispectral computed tomography

Abstract

We revisit the modelling of the material decomposition problem in multispectral computed tomography and propose to leverage the known absorption spectra of different materials. With this we both derive new uniqueness conditions for the material decomposition and also offer a three-step reconstruction model. Our uniqueness criterion only requires certain characteristics of the bin sensitivity functions and the material attenuation spectra and hence, can be computed a-priori before measurements are taken.

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BibTeX
@misc{jeschke2026enhanced,
  title = {{Enhanced attenuation modelling for multispectral computed tomography}},
  author = {Jürgen Jeschke and Dirk Lorenz},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25926},
  eprint = {2609.25926},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25926},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Enhanced attenuation modelling for multispectral computed tomography
AU  - Jürgen Jeschke
AU  - Dirk Lorenz
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.25926
UR  - https://arxiv.org/abs/2609.25926
AB  - We revisit the modelling of the material decomposition problem in multispectral computed tomography and propose to leverage the known absorption spectra of different materials. With this we both derive new uniqueness conditions for the material decomposition and also offer a three-step reconstruction model. Our uniqueness criterion only requires certain characteristics of the bin sensitivity functions and the material attenuation spectra and hence, can be computed a-priori before measurements are taken.
ER  -