Title :
Application of orthogonal elements in a-priori reconstruction: Fourier and polynomial techniques
Author :
Andrews, R.A. ; Law, A.G. ; Strilaeff, A.D. ; Sloboda, R.S.
Author_Institution :
Bell Northern Res., Ottawa, Ont., Canada
Abstract :
The mathematical setting assumed is the Hilbert space. Two image reconstruction problems are summarized. In one (from emission tomography), an unknown member, f, of the space is sought as a linear combination of linearly independent elements g/sub 1/, g/sub 2/, . . ., g/sub n/, under the hypothesis that the inner products are known for 1>
Keywords :
fast Fourier transforms; picture processing; polynomials; FFT; Fourier techniques; Fourier transform; Hilbert space; a-priori reconstruction; basis function; emission tomography; ill-conditioning; image reconstruction; linear system; linearly independent elements; orthogonal elements; polynomial techniques; signal sampling; Cancer; Extraterrestrial measurements; Fourier transforms; Hilbert space; Image reconstruction; Physics; Polynomials; Signal sampling; Sonar; X-ray imaging;
Conference_Titel :
Communications, Computers and Signal Processing, 1989. Conference Proceeding., IEEE Pacific Rim Conference on
Conference_Location :
Victoria, BC, Canada
DOI :
10.1109/PACRIM.1989.48311
