Title :
Region-of-interest tomography using the wavelet transform and angular harmonics
Author :
Yagle, Andrew E.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
We present a new procedure for reconstructing the wavelet transforms of the angular harmonics of an image from the wavelet transforms of the angular harmonics of its projections. The relation is a convolution over scale, rather than over translation, and preservation of compact support of the wavelet basis functions after a derivative-Hilbert transform is not required. It generalizes a recently proposed procedure using exponential radial sampling and decouples over angular harmonics.<>
Keywords :
harmonics; image reconstruction; wavelet transforms; angular harmonics; convolution; derivative-Hilbert transform; exponential radial sampling; image projection; image reconstruction; region-of-interest tomography; scales; wavelet basis functions; wavelet transform; Convolution; Fourier transforms; Image reconstruction; Image sampling; Interpolation; Power harmonic filters; Signal processing; Signal processing algorithms; Tomography; Wavelet transforms;
Journal_Title :
Signal Processing Letters, IEEE
