Low‑dose Cone‑Beam Computed Tomography Reconstruction through a fast Three‑Dimensional Compressed Sensing Method Based on the Three‑Dimensional Pseudo‑polar Fourier Transform
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 119
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شناسه ملی سند علمی:
JR_JMSI-12-1_002
تاریخ نمایه سازی: 28 تیر 1402
چکیده مقاله:
Background: Reconstruction of high quality two dimensional images from fan beam computed
tomography (CT) with a limited number of projections is already feasible through Fourier based
iterative reconstruction method. However, this article is focused on a more complicated reconstruction
of three dimensional (۳D) images in a sparse view cone beam computed tomography (CBCT)
by utilizing Compressive Sensing (CS) based on ۳D pseudo polar Fourier transform (PPFT).
Method: In comparison with the prevalent Cartesian grid, PPFT re gridding is potent to remove
rebinning and interpolation errors. Furthermore, using PPFT based radon transform as the measurement
matrix, reduced the computational complexity. Results: In order to show the computational efficiency
of the proposed method, we compare it with an algebraic reconstruction technique and a CS type
algorithm. We observed convergence in <۲۰ iterations in our algorithm while others would need at least
۵۰ iterations for reconstructing a qualified phantom image. Furthermore, using a fast composite splitting
algorithm solver in each iteration makes it a fast CBCT reconstruction algorithm. The algorithm will
minimize a linear combination of three terms corresponding to a least square data fitting, Hessian (HS)
Penalty and l۱ norm wavelet regularization. We named it PP‑based compressed sensing‑HS‑W. In the
reconstruction range of ۱۲۰ projections around the ۳۶۰° rotation, the image quality is visually similar
to reconstructed images by Feldkamp‑Davis‑Kress algorithm using ۷۲۰ projections. This represents
a high dose reduction. Conclusion: The main achievements of this work are to reduce the radiation
dose without degrading the image quality. Its ability in removing the staircase effect, preserving edges
and regions with smooth intensity transition, and producing high‑resolution, low‑noise reconstruction
results in low‑dose level are also shown.
کلیدواژه ها:
Three‑dimensional compressed sensing ، three‑dimensional pseudo‑polar Fourier transform ، cone beam computed tomography reconstruction ، hessian
نویسندگان
N Teyfouri
Medical Image and Signal Processing Research Center, School of Advanced Technologies in Medicine, Isfahan University of Medical Sciences
Hossein Rabbani
Medical Image and Signal Processing Research Center, School of Advanced Technologies in Medicine, Isfahan University of Medical Sciences
I Jabbari
Department of Nuclear Engineering, Faculty of Advanced Sciences and Technologies, University of Isfahan, Isfahan, Iran