TY - GEN
T1 - On optimal brightness functions for optical flow
AU - Denney, Thomas S.
AU - Prince, Jerry L.
N1 - Publisher Copyright:
© 1992 IEEE.
PY - 1992
Y1 - 1992
N2 - In the typical optical flow problem, the brightness function is an inherent part of the underlying physical process. In the case of magnetic resonance (MR) imaging of the heart, however, it is possible to modulate the brightness function using MR tagging techniques. Experimental evidence suggests that when a sinusoidal brightness function is used, there is an optimum frequency. In this paper, the reasons for an optimal frequency in one dimension are investigated by formulating the optical flow problem as an optimal linear smoothing problem. A method based on minimizing the theoretical smoothed error variance is proposed for finding the optimal frequency a priori. Simulations are presented for a Wiener process velocity that show the existence an optimal frequency and the ability of the proposed method to determine this frequency a priori.
AB - In the typical optical flow problem, the brightness function is an inherent part of the underlying physical process. In the case of magnetic resonance (MR) imaging of the heart, however, it is possible to modulate the brightness function using MR tagging techniques. Experimental evidence suggests that when a sinusoidal brightness function is used, there is an optimum frequency. In this paper, the reasons for an optimal frequency in one dimension are investigated by formulating the optical flow problem as an optimal linear smoothing problem. A method based on minimizing the theoretical smoothed error variance is proposed for finding the optimal frequency a priori. Simulations are presented for a Wiener process velocity that show the existence an optimal frequency and the ability of the proposed method to determine this frequency a priori.
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U2 - 10.1109/ICASSP.1992.226202
DO - 10.1109/ICASSP.1992.226202
M3 - Conference contribution
AN - SCOPUS:33747482219
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 257
EP - 260
BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Y2 - 23 March 1992 through 26 March 1992
ER -