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A data‐consistent linear prediction method for image reconstruction from finite Fourier samples
Author(s) -
Hess Christopher P.,
Liang ZhiPei
Publication year - 1996
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/(sici)1098-1098(199622)7:2<136::aid-ima10>3.0.co;2-#
Subject(s) - fourier transform , computer science , fourier analysis , image (mathematics) , algorithm , mathematics , artificial intelligence , mathematical analysis
Linear prediction (LP) methods have been widely used for high‐resolution spectral estimation from finite Fourier samples. Their application to image reconstruction, on the other hand, has been markedly less successful. In this article, we present an improved LP method for high‐resolution image reconstruction. The distinguishing feature of the proposed method is its use of a generalized series model to enforce the data consistency constraint to compensate for reconstruction error resulting from LP modeling. Several reconstruction examples from magnetic resonance imaging data are included to demonstrate the performance of the method. © 1996 John Wiley & Sons, Inc.