A curve-filtered FDK (C-FDK) reconstruction algorithm for circular cone-beam CT.

Circular cone-beam CT is one of the most popular configurations in both medical and industrial applications. The FDK algorithm is the most popular method for circular cone-beam CT. However, with increasing cone-angle the cone-beam artifacts associated with the FDK algorithm deteriorate because the circular trajectory does not satisfy the data sufficiency condition. Along with an experimental evaluation and verification, this paper proposed a curve-filtered FDK (C-FDK) algorithm. First, cone-parallel projections are rebinned from the native cone-beam geometry in two separate directions. C-FDK rebins and filters projections along different curves from T-FDK in the centrally virtual detector plane. Then, numerical experiments are done to validate the effectiveness of the proposed algorithm by comparing with both FDK and T-FDK reconstruction. Without any other extra trajectories supplemental to the circular orbit, C-FDK has a visible image quality improvement.

[1]  Hiroyuki Kudo,et al.  Image reconstruction from fan-beam projections on less than a short scan , 2002, Physics in medicine and biology.

[2]  Shuhei Komatsu,et al.  A combination-weighted Feldkamp-based reconstruction algorithm for cone-beam CT , 2006, Physics in medicine and biology.

[3]  M. Grass,et al.  3D cone-beam CT reconstruction for circular trajectories. , 2000, Physics in medicine and biology.

[4]  Thomas J. Flohr,et al.  New efficient Fourier-reconstruction method for approximate image reconstruction in spiral cone-beam CT at small cone angles , 1997, Medical Imaging.

[5]  Markus Oelhafen,et al.  Cone-beam CT image reconstruction with extended z range. , 2009, Medical physics.

[6]  Guang-Hong Chen,et al.  Arc based cone-beam reconstruction algorithm using an equal weighting scheme , 2007 .

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

[8]  H. Yang,et al.  FBP-type Cone-Beam Reconstruction Algorithm with Radon Space Interpolation Capabilities for Axially Truncated Data from a Circular Orbit , 2006 .

[9]  Jie Tian,et al.  Fast cone-beam CT image reconstruction using GPU hardware , 2008 .

[10]  Xiaochuan Pan,et al.  Image reconstruction with a shift‐variant filtration in circular cone‐beam CT , 2004, Int. J. Imaging Syst. Technol..

[11]  Bruce D. Smith.  Image Reconstruction from Cone-Beam Projections: Necessary and Sufficient Conditions and Reconstruction Methods , 1985, IEEE Transactions on Medical Imaging.

[12]  Ge Wang,et al.  Exact and Approximate Cone Beam X ray Microtomography , 1998 .

[13]  Tsuneo Saito,et al.  Derivation and implementation of a cone-beam reconstruction algorithm for nonplanar orbits , 1994, IEEE Trans. Medical Imaging.

[14]  Li Zhang,et al.  A half-scan error reduction based algorithm for cone-beam CT , 2004 .

[15]  G T Gullberg,et al.  A cone-beam tomography algorithm for orthogonal circle-and-line orbit. , 1992, Physics in medicine and biology.

[16]  Ruola Ning,et al.  A cone-beam reconstruction algorithm for circle-plus-arc data-acquisition geometry , 1999, IEEE Transactions on Medical Imaging.

[17]  Liang Li,et al.  An alternative derivation and description of Smith's data sufficiency condition for exact cone-beam reconstruction , 2008 .

[18]  F. Natterer.  The Mathematics of Computerized Tomography , 1986 .

[19]  N. Hassani,et al.  Principles of computerized tomography. , 1976, Journal of the National Medical Association.

[20]  M Grass,et al.  Angular weighted hybrid cone-beam CT reconstruction for circular trajectories. , 2001, Physics in medicine and biology.

[21]  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.

[23]  Hui Hu,et al.  AN IMPROVED CONE-BEAM RECONSTRUCTION ALGORITHM FOR THE CIRCULAR ORBIT , 2006 .

[24]  Xiaochuan Pan,et al.  Image reconstruction in reduced circular sinusoidal cone-beam CT. , 2009, Journal of X-ray science and technology.

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

[26]  Liang Li,et al.  The FDK algorithm with an expanded definition domain for cone-beam reconstruction preserving oblique line integrals , 2006 .

[27]  D. Parker.  Optimal short scan convolution reconstruction for fan beam CT , 1982 .

[28]  Henrik Turbell,et al.  Cone-Beam Reconstruction Using Filtered Backprojection , 2001 .

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

[30]  Li Zhang,et al.  An error-reduction-based algorithm for cone-beam computed tomography. , 2004, Medical physics.

[31]  Hiroyuki Kudo,et al.  A new approach to exact cone-beam reconstruction without Radon transform , 1998, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255).

[32]  Thomas Rodet,et al.  The cone-beam algorithm of Feldkamp, Davis, and Kress preserves oblique line integrals. , 2004, Medical physics.

[33]  Hiroyuki Kudo,et al.  New super-short-scan algorithms for fan-beam and cone-beam reconstruction , 2002, 2002 IEEE Nuclear Science Symposium Conference Record.

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

[35]  Lei Zhu,et al.  An Efficient Estimation Method for Reducing the Axial Intensity Drop in Circular Cone-Beam CT , 2008, Int. J. Biomed. Imaging.