Industrial X-Ray Computed Tomography 2017
DOI: 10.1007/978-3-319-59573-3_7
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Towards Traceability of CT Dimensional Measurements

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Cited by 9 publications
(8 citation statements)
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“…Minimization methods consist of finding the set of modelled geometrical parameters that minimize the least-squares error between modelled and observed center projection coordinates, known as the reprojection error [2,5]. A ray-tracing model is used to generate the center projection coordinates for a reference object with known sphere positions given an initial set of geometrical parameter values.…”
Section: Measurement By Minimization Of Reprojection Errorsmentioning
confidence: 99%
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“…Minimization methods consist of finding the set of modelled geometrical parameters that minimize the least-squares error between modelled and observed center projection coordinates, known as the reprojection error [2,5]. A ray-tracing model is used to generate the center projection coordinates for a reference object with known sphere positions given an initial set of geometrical parameter values.…”
Section: Measurement By Minimization Of Reprojection Errorsmentioning
confidence: 99%
“…The set of modelled center projection coordinates ( mod , mod ) , are compared to the set of observed center projection coordinates ( obs , obs ) , from analysis of acquired radiographs. The sum of squared residuals (SSR) between modelled and observed center projection coordinates, shown in equation (2), is used as the objective function to be minimized. It should be noted that the objective function can take other algebraic forms, for example keeping the and components of the center projection residuals separate prior to summing instead of summing in quadrature.…”
Section: Measurement By Minimization Of Reprojection Errorsmentioning
confidence: 99%
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“…The geometry of a cone-beam CT instrument is defined by the relative position and orientation of X-ray source focal spot, axis of object rotation (AOR), and detector [1]. The following description of the coordinate convention is supplemented by the diagram in figure 1, which also includes the parameterization of the reference object position and orientation.…”
Section: Cone-beam Ct Geometrymentioning
confidence: 99%
“…The geometry of an X-ray computed tomography (CT) instrument is defined by the relative positions and orientations of the three major components: X-ray source focal spot, sample rotation axis, and detector. Discrepancies between the geometry of the CT instrument with which radiographic projection images are acquired and the backprojection geometry in tomographic reconstruction from the images will contribute to inconsistencies between dimensional measurements performed on the reconstructed volume and the actual dimensions on the measured part(s) [1]. Consequently, these inconsistencies will result in errors of measurements performed on the volumetric data.…”
Section: Introductionmentioning
confidence: 99%