Fan-beam geometry based inversion algorithm in computed tomography (CT) for imaging of composite materials

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• 作者：Altaf H. Khan ; Reaz A. Chaudhuri
• 关键词：Fourier Slice theorem ; Radon transform ; Fan-beam ; Rebinning algorithm ; Shepp&ndash ; Logan filter ; Composite materials
• 刊名：Composite Structures
• 出版年：April, 2014
• 年：2014
• 卷：110
• 期：Complete
• 页码：297-304
• 全文大小：2125 K

文摘

The investigation is concerned first with reconstruction of the density function of an object from computed tomography data. The projection (Fourier Slice) theorem is discussed for fan-beam geometry. A rebinning algorithm, based on the slant stacking approach, is introduced in order to transform fan-beam geometry data into its parallel-beam counterpart. The density function is reconstructed using a filtered back-projection algorithm. The sampling criteria for fan beam computed tomography are also derived. The MATLAB package has been utilized to implement these algorithms for the simulation of Shepp-Logan head phantom and implementation of the discrete normal Radon transform based on fan-beam geometry. The reconstruction of transverse cross-sectional micro-structures of fiber reinforced composite material test specimens has also been discussed. In addition, the MATLAB package has been utilized to demonstrate the image reconstruction of the cross-section of a two-phase composite material using parallel beam geometry (Radon transform).