A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology
作者： Gabor T. Herman , Arnold Lent
DOI: 10.1007/BFB0120823
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摘要: We are concerned with systems of pairs inequalities the form γ≤(α, y)≤δ, where dimensionality unknown vector y is typically 103 to 105. Such arise in certain problems diagnostic radiology. present and prove convergence a family iterative algorithms for finding feasible minimum norm. The based on Hildreth’s quadratic optimization procedure inequality constraints, but they exploit special region reduce significantly both computer time storage.
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Gabor T. Herman, Arnold Lent, Iterative reconstruction algorithms. Computers in Biology and Medicine. ,vol. 6, pp. 273- 294 ,(1976) , 10.1016/0010-4825(76)90066-4
A. C. Chen, W. H. Berninger, R. W. Redington, R. Godbarsen, D. Barrett, Five-Second Fan Beam CT Scanner Application of Optical Instrumentation in Medicine V. ,vol. 0096, pp. 294- 299 ,(1976) , 10.1117/12.965426
Gabor T. Herman, Arnold Lent, Peter H. Lutz, Relaxation methods for image reconstruction Communications of the ACM. ,vol. 21, pp. 152- 158 ,(1978) , 10.1145/359340.359351
Clifford Hildreth, A quadratic programming procedure Naval Research Logistics Quarterly. ,vol. 4, pp. 79- 85 ,(1957) , 10.1002/NAV.3800040113
Gabor T. Herman, Arnold Lent, Stuart W. Rowland, ART: Mathematics and applications a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques Journal of Theoretical Biology. ,vol. 42, pp. 1- 32 ,(1973) , 10.1016/0022-5193(73)90145-8
L. A. Shepp, B. F. Logan, The Fourier reconstruction of a head section IEEE Transactions on Nuclear Science. ,vol. 21, pp. 21- 43 ,(1974) , 10.1109/TNS.1974.6499235
Richard Gordon, Gabort Herman, Three-Dimensional Reconstruction from Projections: A Review of Algorithms International Review of Cytology. ,vol. 38, pp. 111- 151 ,(1974) , 10.1016/S0074-7696(08)60925-0