![]() They are (a) a square shaped aluminium sample with triangular steel insert, (b) annular sample made of aluminium and (c) triangular steel sample. Three different test samples are first considered in this study to test the new BH algorithm. ,, , ], E 1 ( r, φ ) = k ( W ' ' ( 0 ) ) ( ∇ 2 f ( r, φ ) ) where W ' ' ( 0 ) = ∂ 2 W ( R ) ∂ R 2 ∇ 2 f is the Laplacian of f and k is a constant depending Experimental results The simplified form of inherent error E 1 at a given point in the reconstructed object cross-section ( f) has been given by Munshi et al. A brief summary of this analysis is given here for convenience. The fidelity of this correction methodology can be tested by Sobolev space-based error analysis of CT images. The resultant image of section 5 is free from BH artifacts. The reconstructed image is the polychromatic image (Ip). The specimen is first scanned and CT reconstructions are obtained by Feldkamp-Davis-Kress (FDK) method. The algorithm is summarised in the following steps: The method is also independent of the geometry of the cross-section. It is independent of any prior information about the experimental specification and the knowledge of the X-ray spectrum of the machine. Here we present a new method for BH correction. There is an object holder with the ability of 360 0 Proposed beam hardening correction method The maximum X-Ray cone beam angle is 15.8 0. The maximum allowable source to object distance for the CT setup is 46.64  cm. It consists of an X-ray tube of 7  μm focal spot size and a flat panel detector of 1024  ×  1024 photodiodes. The Procon X-Ray CT Mini machine installed at IIT Kanpur has been used for the scanning purpose. The technique can effectively eliminate soft-tissue Experimental setup The use of water bags is cumbersome and it also requires higher patient radiation doses. The incident beam was effectively pre-filtered by the constant water length and reduced the problem to a scan of a single “effective material”. The water bag technique was previously used in head scanners to reduce beam-hardening artifact. The correction of beam hardening is a research topic of interest since the inception of Computerized Tomography. The emergent X-ray intensity for a polychromatic Literature review The incident X-ray source intensity I i n spreads along photon energy E following the density η ( E ) ≥ 0, i.e., ∫ η ( E ) d E = I i n. It is represented by the following equation: I o u t ( E ) = I i n ( E ) exp where I o u t ( E ) and I i n ( E ) are the emergent and incident X-ray intensities at the photon energy E,respectively. Beer's law describes the basic equation for attenuation in the intensity of X-ray along with a straight line path l = l ( x, y ) at photon energy E. ![]()
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