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An iterative algorithm for region-of-interest reconstruction with cone-beam acquisitions on a generic source trajectory

Lookup NU author(s): Dr Anando SenORCiD


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The paper presents a novel algorithm in 3D computed tomography (CT) dedicated to accurate region of interest (ROI) reconstruction. Here image data acquisition involves X-ray sources positioned on any piecewise smooth 3D-curve satisfying the very generic, Tuy’s conditions and uses only X-rays passing through the ROI. Our ROI reconstruction algorithm implements an iterative procedure where we systematically alternate intermediary reconstructions by Grangeat’s cone-beam inversion formula with density smoothing by shrinkage of wavelets coefficients. We validate the accuracy of our ROI reconstruction algorithm for a 3D Shepp-Logan phantom and a 3D image of a human jaw, and a curve composed of two (discretized) orthogonal circles by simulating ROI censored X-ray acquisition and our iterative ROI reconstruction for a family of spherical ROIs of various radii. The main result is that provided the ROI radius is larger than a critical radius, our procedure converges in less than 23 iterations in most cases, and that our ROI reconstruction remains reasonably accurate.

Publication metadata

Author(s): Chowdhury T, Sen A, Azencott R

Editor(s): King M; Glick S; Mueller K

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: 13th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine

Year of Conference: 2015

Pages: 618-621

Online publication date: 01/06/2015

Acceptance date: 19/02/2015

Publisher: Fully3D