1984 · 12 citations · 0 references
ComputingRadiologyBiomedical ImagingComputational GeometryVolume Visualization3D Imaging3D ReconstructionImage ReconstructionProjection GeometryThree-dimensional ReconstructionBackprojectionComputed Tomography ReconstructionCone-beam Computed Tomography ReconstructionReconstruction AlgorithmsThree-dimensional Image Reconstruction
A convolution-backprojection formula is deduced for direct reconstruction of a three-dimensional density function from a set of two-dimensional projections. The formula is approximate but has useful properties, including errors that are relatively small in many practical instances and a form that leads to convenient computation. It reduces to the standard fan-beam formula in the plane that is perpendicular to the axis of rotation and contains the point source. The algorithm is applied to a mathematical phantom as an example of its performance. 1.