A Filtered Backprojection Algorithm for Triple-Source Helical Cone-Beam CT

Multisource cone-beam computed tomography (CT) is an attractive approach of choice for superior temporal resolution, which is critically important for cardiac imaging and contrast enhanced studies. In this paper, we present a filtered-backprojection (FBP) algorithm for triple-source helical cone-beam CT. The algorithm is both exact and efficient. It utilizes data from three inter-helix PI-arcs associated with the inter-helix PI-lines and the minimum detection windows defined for the triple-source configuration. The proof of the formula is based on the geometric relations specific to triple-source helical cone-beam scanning. Simulation results demonstrate the validity of the reconstruction algorithm. This algorithm is also extended to a multisource version for ( 2N + 1 ) -source helical cone-beam CT. With parallel computing, the proposed FBP algorithms can be significantly faster than our previously published multisource backprojection-filtration algorithms. Thus, the FBP algorithms are promising in applications of triple-source helical cone-beam CT.

[1]  K. Stierstorfer,et al.  First performance evaluation of a dual-source CT (DSCT) system , 2006, European Radiology.

[2]  J. Hsieh,et al.  A filtered backprojection algorithm for cone beam reconstruction using rotational filtering under helical source trajectory. , 2004, Medical physics.

[3]  Ge Wang,et al.  Minimum detection window and inter-helix PI-line with triple-source helical cone-beam scanning , 2004, SPIE Optics + Photonics.

[4]  Ming Jiang,et al.  Parallel Implementation of Katsevich's FBP Algorithm , 2006, Int. J. Biomed. Imaging.

[5]  F. Noo,et al.  Cone-beam reconstruction using 1D filtering along the projection of M-lines , 2005 .

[6]  M. Jiang,et al.  An exact reconstruction algorithm for triple-source helical cone-beam CT , 2006 .

[7]  A. Katsevich.  A GENERAL SCHEME FOR CONSTRUCTING INVERSION ALGORITHMS FOR CONE BEAM CT , 2003 .

[8]  Willi A Kalender,et al.  Intensity distribution and impact of scatter for dual-source CT , 2007, Physics in medicine and biology.

[9]  T. Zhuang,et al.  New families of exact fan-beam and cone-beam image reconstruction formulae via filtering the backprojection image of differentiated projection data along singly measured lines , 2006 .

[10]  Alexander Katsevich,et al.  An improved exact filtered backprojection algorithm for spiral computed tomography , 2004, Adv. Appl. Math..

[11]  Rolf Clackdoyle,et al.  Cone-beam reconstruction using the backprojection of locally filtered projections , 2005, IEEE Transactions on Medical Imaging.

[12]  Hengyong Yu,et al.  A family of analytic algorithms for cone-beam CT , 2004, SPIE Optics + Photonics.

[13]  Hengyong Yu,et al.  Numerical studies on Feldkamp-type and Katsevich-type algorithms for cone-beam scanning along nonstandard spirals , 2004, SPIE Optics + Photonics.

[14]  Hengyong Yu,et al.  A General Local Reconstruction Approach Based on a Truncated Hilbert Transform , 2007, Int. J. Biomed. Imaging.

[15]  Thomas Köhler,et al.  The radon-split method for helical cone-beam CT and its application to nongated reconstruction , 2006, IEEE Transactions on Medical Imaging.

[16]  Ya. A. Ilyushin,et al.  On the theory of three-dimensional reconstruction , 1997 .

[17]  W. Kalender,et al.  Contrast-enhanced coronary artery visualization by dual-source computed tomography--initial experience. , 2006, European journal of radiology.

[18]  Yang Lu,et al.  Exact image reconstruction for triple-source cone-beam CT along saddle trajectories , 2008, Optical Engineering + Applications.

[19]  Y. Liu,et al.  Half-scan cone-beam CT fluoroscopy with multiple x-ray sources. , 2001, Medical physics.

[20]  Jun Ni,et al.  A Parallel Implementation of the Katsevich Algorithm for 3-D CT Image Reconstruction , 2006, The Journal of Supercomputing.

[21]  E. Sidky,et al.  Minimum data image reconstruction algorithms with shift-invariant filtering for helical, cone-beam CT , 2005, Physics in medicine and biology.

[22]  X Pan.  Fast reconstruction with uniform noise properties in halfscan computed tomography. , 2000, Medical physics.

[23]  Hengyong Yu,et al.  Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves , 2004, SPIE Optics + Photonics.

[24]  Guang-Hong Chen.  An alternative derivation of Katsevich's cone-beam reconstruction formula. , 2003, Medical physics.

[25]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[26]  R. Proksa,et al.  A quasiexact reconstruction algorithm for helical CT using a 3-Pi acquisition. , 2003, Medical physics.

[27]  Hengyong Yu,et al.  A unified framework for exact cone-beam reconstruction formulas. , 2005, Medical physics.

[28]  Cisheng Zhang,et al.  Tilted plane Feldkamp type reconstruction algorithm for spiral cone-beam CT , 2004 .

[29]  Ge Wang,et al.  A Grangeat‐type half‐scan algorithm for cone‐beam CT , 2003 .

[30]  H. Tuy.  AN INVERSION FORMULA FOR CONE-BEAM RECONSTRUCTION* , 1983 .

[31]  Ge Wang,et al.  Feldkamp-type cone-beam tomography in the wavelet framework , 2000, IEEE Transactions on Medical Imaging.

[32]  Konstantin Nikolaou,et al.  Dual-source CT cardiac imaging: initial experience , 2006, European Radiology.

[33]  Willi A Kalender,et al.  Multithreaded cardiac CT. , 2006, Medical physics.

[34]  K F King,et al.  Computed tomography scanning with simultaneous patient translation. , 1990, Medical physics.

[35]  Ge Wang,et al.  Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve. , 2004, Medical physics.

[36]  V. Palamodov,et al.  Reconstruction from ray integrals with sources on a curve , 2004 .

[37]  J. Hsieh,et al.  A three-dimensional weighted cone beam filtered backprojection (CB-FBP) algorithm for image reconstruction in volumetric CT under a circular source trajectory , 2005, Physics in medicine and biology.

[38]  Hengyong Yu,et al.  A general exact reconstruction for cone-beam CT via backprojection-filtration , 2005, IEEE Transactions on Medical Imaging.

[39]  Xiaochuan Pan,et al.  Image reconstruction on PI-lines by use of filtered backprojection in helical cone-beam CT. , 2004, Physics in medicine and biology.

[40]  J. Hsieh,et al.  A three-dimensional-weighted cone beam filtered backprojection (CB-FBP) algorithm for image reconstruction in volumetric CT—helical scanning , 2006, Physics in medicine and biology.

[41]  Xiaochuan Pan,et al.  An extended data function and its generalized backprojection for image reconstruction in helical cone-beam CT. , 2004, Physics in medicine and biology.

[42]  Xiaochuan Pan,et al.  Theory and algorithms for image reconstruction on chords and within regions of interest. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[43]  Jun Zhao,et al.  A Reconstruction Algorithm for Triple-Source Helical Cone-Beam CT , 2005, 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference.

[44]  S. Samarasekera,et al.  Exact cone beam CT with a spiral scan. , 1998, Physics in medicine and biology.

[45]  G. Wang,et al.  A general cone-beam reconstruction algorithm , 1993, IEEE Trans. Medical Imaging.

[46]  Hengyong Yu,et al.  Exact Interior Reconstruction with Cone-Beam CT , 2008, Int. J. Biomed. Imaging.

[47]  P. Grangeat.  Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform , 1991 .

[48]  Xiaochuan Pan,et al.  Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT. , 2004, Physics in medicine and biology.

[49]  Hengyong Yu,et al.  Exact Interior Reconstruction from Truncated Limited-Angle Projection Data , 2008, Int. J. Biomed. Imaging.

[50]  Borut Marincek,et al.  Accuracy of dual-source CT coronary angiography: first experience in a high pre-test probability population without heart rate control , 2006, European Radiology.