CBCT reconstruction via a penalty combining total variation and its higher-degree term

Nanbo Sun, Tao Sun, Jing Wang, Shan Tan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Penalized weighted least-squares (PWLS) iterative algorithm with a total variation penalty (PWLS-TV) has shown potential to improve cone-beam CT (CBCT) image quality, particularly in suppressing noise and preserving edges. However, it sometimes suffers from the well-known staircase effect, which produces piece-wise constant areas in images. In order to remove the staircase effect, there is an increasing interest in replacing TV by higher-order derivative operations such as Hessian. Unfortunately, Hessian tends to blur the edges in the reconstruction results. In this study, we proposed a new penalty, namely the TV-H penalty, which combines the TV penalty and the Hessian penalty for CBCT reconstruction. The TV-H penalty retains some of the most favorable properties of the TV penalty like suppressing noise and preserving edges and has a better ability in preserving the structures of gradual intensity transition in images. The penalized weighted least-squares (PWLS) criterion with the majorization-minimization (MM) approach was used to minimize the objective function. Two simulated digital phantoms were used to compare the performance of TV, Hessian penalty and TV-H penalties. Our experiments indicated that the TV-H penalty outperformed the TV penalty and the Hessian penalty.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2015: Physics of Medical Imaging
PublisherSPIE
Volume9412
ISBN (Electronic)9781628415025
DOIs
StatePublished - 2015
EventMedical Imaging 2015: Physics of Medical Imaging - Orlando, United States
Duration: Feb 22 2015Feb 25 2015

Other

OtherMedical Imaging 2015: Physics of Medical Imaging
CountryUnited States
CityOrlando
Period2/22/152/25/15

Keywords

  • Cone-beam CT
  • Hessian norm
  • Penalized weighted least-squares
  • Total variation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Radiology Nuclear Medicine and imaging

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  • Cite this

    Sun, N., Sun, T., Wang, J., & Tan, S. (2015). CBCT reconstruction via a penalty combining total variation and its higher-degree term. In Medical Imaging 2015: Physics of Medical Imaging (Vol. 9412). [94123T] SPIE. https://doi.org/10.1117/12.2082445