Title :
New algorithms for Abel inversions and Hankel transforms
Author_Institution :
Dartmouth College, Hanover, New Hampshire
Abstract :
New algorithms are presented for the Abel and Hankel transforms. Forward and inverse Abel transforms are computed recursively via state variable modeling of the transform kernels. The Hankel transform is computed as the Fourier transform of a forward Abel transform.
Keywords :
Convolution; Differential equations; Educational institutions; Fourier transforms; Geophysics computing; Holographic optical components; Kernel; Optical interferometry; Refractive index; Spectroscopy;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '83.
DOI :
10.1109/ICASSP.1983.1171990
