TY - GEN
T1 - Tomographic imaging of time-varying distributions
AU - Willis, Nathaniel P.
AU - Bresler, Yoram
PY - 1990
Y1 - 1990
N2 - This paper addresses the tomographic imaging of time-varying distributions, when the temporal variation during acquisition of the data is high, precluding Nyquist rate sampling. This paper concentrates on the open (and hitherto unstudied) problem of nonperiodic temporal variation, which cannot be reduced to the time-invariant case by synchronous acquisition. The impact of the order of acquisition of different views on the L2 norm of the image-domain reconstruction error is determined for band-limited temporal variation. Based on this analysis, a novel technique for lowering the sampling rate requirement while preserving image quality is proposed and investigated. This technique involves an unconventional projection sampling order which is designed to minimize the L2 image-domain reconstruction error of a representative test image. A computationally efficient design procedure reduces the image data into a Grammian matrix which is independent of the sampling order. Further savings in the design procedure are realized by using a Zernike polynomial series representation for the test image. To illustrate the approach, reconstructions of a computer phantom using the best and conventional linear sampling orders are compared, showing a seven-fold decrease in the error norm by using the best scheme.
AB - This paper addresses the tomographic imaging of time-varying distributions, when the temporal variation during acquisition of the data is high, precluding Nyquist rate sampling. This paper concentrates on the open (and hitherto unstudied) problem of nonperiodic temporal variation, which cannot be reduced to the time-invariant case by synchronous acquisition. The impact of the order of acquisition of different views on the L2 norm of the image-domain reconstruction error is determined for band-limited temporal variation. Based on this analysis, a novel technique for lowering the sampling rate requirement while preserving image quality is proposed and investigated. This technique involves an unconventional projection sampling order which is designed to minimize the L2 image-domain reconstruction error of a representative test image. A computationally efficient design procedure reduces the image data into a Grammian matrix which is independent of the sampling order. Further savings in the design procedure are realized by using a Zernike polynomial series representation for the test image. To illustrate the approach, reconstructions of a computer phantom using the best and conventional linear sampling orders are compared, showing a seven-fold decrease in the error norm by using the best scheme.
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U2 - 10.1117/12.19546
DO - 10.1117/12.19546
M3 - Conference contribution
AN - SCOPUS:0025621853
SN - 0819402923
SN - 9780819402929
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 111
EP - 123
BT - Proceedings of SPIE - The International Society for Optical Engineering
PB - Publ by Int Soc for Optical Engineering
T2 - Biomedical Image Processing
Y2 - 12 February 1990 through 13 February 1990
ER -