DocumentCode
3181313
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
fYear
1989
fDate
1-2 June 1989
Firstpage
83
Lastpage
86
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications, Computers and Signal Processing, 1989. Conference Proceeding., IEEE Pacific Rim Conference on
Conference_Location
Victoria, BC, Canada
Type
conf
DOI
10.1109/PACRIM.1989.48311
Filename
48311
Link To Document