Bounding Functions Via n-th Order Hankel Transform
نویسندگان
چکیده
In this presentation we establish new bounds on functions, which have their n-th order Hankel Transform bandlimited. This class of functions is proved to be also Fourier Transform bandlimited. N-th order Hankel Transforms and the consequent bounds are important for the reconstruction in CAT, MRI (Magnetic Resonance Imaging) etc. Indeed many algorithms of modern tomography use the appropriate forms of Hankel Transform. For example, we may refer the Optimal Hankel Transform Reconstruction [1], the Rhombus Hankel Transform Reconstruction [5] etc. The new bounds, presented in this paper, simplifies the according Hankel Transform Reconstruction techniques. Actually a criterion based on these bounds can reject terms of the reconstruction with weak influence on image quality.
منابع مشابه
Bounds on Functions with N-th order Bandlimited Hankel Transforms
N -th order Hankel Transforms are important for the reconstruction in Magnetic Resonance Imaging (MRI), CAT etc. In this contribution we derive new bounds on functions, which have bandlimited their n-th order Hankel Transform.
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