Algebraic and analytic reconstruction methods for dynamic tomography.

In this work, we discuss algebraic and analytic approaches for dynamic tomography. We present a framework of dynamic tomography for both algebraic and analytic approaches. We finally present numerical experiments

Region-of-Interest Image Reconstruction from Limited Projection Data

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Necessary and sufficient consistency conditions for fanbeam projections along a line

International audienceIn medical imaging, a fanbeam projection refers to a collection of line integrals of some two-dimensional function, for lines converging on a point known as the source point for X-ray applications. In this work, necessary and sufficient consistency conditions (also known as range conditions) are given for fanbeam projections when the source trajectory follows an infinite straight line. The conditions are specified for both angular and linear parameterizations of the projection rays. In both cases, integrals of the fanbeam projections multiplied by a certain function will be a polynomial in the trajectory variable, so these consistency conditions can be considered true analogs of the well-known Helgason-Ludwig range conditions for parallel projections

2D filtered backprojection for fan-beam CT with independent rotations of the source and the detector

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Dynamic tomography, mass preservation and ROI reconstruction

International audienceAbstract--In this paper we consider the mass preservation in dynamic tomography. We present an analytic compensation of deformations preserving the mass and the acquisition line geometry.We show 2D ROI reconstructions of truncated dynamic data

Feasibility of attenuation map alignment in pinhole cardiac SPECT using exponential data consistency conditions

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Dynamic tomography, mass preservation and ROI reconstruction

International audienceAbstract--In this paper we consider the mass preservation in dynamic tomography. We present an analytic compensation of deformations preserving the mass and the acquisition line geometry.We show 2D ROI reconstructions of truncated dynamic data

Dynamic tomography, mass preservation and ROI reconstruction

International audienceAbstract--In this paper we consider the mass preservation in dynamic tomography. We present an analytic compensation of deformations preserving the mass and the acquisition line geometry.We show 2D ROI reconstructions of truncated dynamic data

GCC and FBCC for linear tomosynthesis

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Two cone-beam consistency conditions for a circular trajectory

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