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Orthogonal decomposition framework for ionospheric tomography algorithms
Author(s) -
Sutton Eric,
Na Helen
Publication year - 1994
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.1850050207
Subject(s) - orthogonality , algorithm , a priori and a posteriori , projection (relational algebra) , orthogonal basis , basis function , orthogonal functions , computer science , algebraic reconstruction technique , basis (linear algebra) , tomography , fourier transform , decomposition , mathematics , iterative reconstruction , computer vision , geometry , mathematical analysis , optics , physics , philosophy , biology , epistemology , quantum mechanics , ecology
Computerized ionospheric tomography (CIT) is one of the most recent developments in the area of remote sensing of the ionosphere. This system is a special case of limited angle tomography in which not only are projection angles limited, but the number of samples per projection varies. This article presents an orthogonal decomposition framework for unifying CIT algorithms including both generalized classical algorithms such as the algebraic reconstruction technique, the direct Fourier method, and filtered backprojection, and algorithms using basis functions from a priori information. This article discusses the orthogonality of the basis functions associated with the classical techniques and presents simulations comparing the use of a priori information in filtered backprojection and orthogonal decomposition.©1994 John Wiley & Sons Inc