Redesign of the Laplacian kernel for improvements in conductivity imaging using MRI

Jaewook Shin, Jun Hyeong Kim, Dong Hyun Kim

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


Purpose: To develop an electrical property tomography reconstruction method that achieves improvements over standard method by redesigning the Laplacian kernel. Theory and Methods: A decomposition property of the governing PET equation shows the possibility of redesigning the Laplacian kernel for conductivity reconstruction. Hence, the discrete Laplacian operator used for electrical property tomography reconstruction is redesigned to have a Gaussian-like envelope, which enables manipulation of the spatial and spectral response. The characteristics of the proposed kernel are investigated through numerical simulations and in vivo brain experiments. Results: The proposed method reduces textured noise, which hampers observing features of the conductivity image. Furthermore, the proposed scheme can mitigate the propagation of local phase error such as flow-induced phase. By doing so, the proposed method can recover feature information in conductivity (or resistivity) images. Lastly, the proposed kernel can be extended to other electrical property tomography reconstructions, improving the quality of images. Conclusion: An alternative design of the Laplacian kernel for conductivity imaging has been developed to mitigate the textured noise and the propagation of local phase artifact.

Original languageEnglish
Pages (from-to)2167-2175
Number of pages9
JournalMagnetic Resonance in Medicine
Issue number3
Publication statusPublished - 2019 Mar

Bibliographical note

Publisher Copyright:
© 2018 International Society for Magnetic Resonance in Medicine

All Science Journal Classification (ASJC) codes

  • Radiology Nuclear Medicine and imaging


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