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A Hankel transform approach to tomographic image reconstruction

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2 Author(s)
Higgins, W.E. ; Biodynamics Res. Unit, Mayo Clinic, Rochester, MN, USA ; Munson, D.C., Jr.

A relatively unexplored algorithm is developed for reconstructing a two-dimensional image from a finite set of its sampled projections. The algorithm, referred to as the Hankel-transform-reconstruction (HTR) algorithm, is polar-coordinate based. The algorithm expands the polar-form Fourier transform F(r,θ) of an image into a Fourier series in θ; calculates the appropriately ordered Hankel transform of the coefficients of this series, giving the coefficients for the Fourier series of the polar-form image f(p,φ); resolves this series, giving a polar-form reconstruction; and interpolates this reconstruction to a rectilinear grid. The HTR algorithm is outlined, and it is shown that its performance compares favorably to the popular convolution-backprojection algorithm

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Medical Imaging, IEEE Transactions on  (Volume:7 ,  Issue: 1 )