Results in estimation theory are applied to the problem of removing aberrations caused by imaging systems. Recursive models for the object image brightness function and the image sensor performance are developed.
For the processing of NxN pixel images, known techniques require the formulation of an N2 order image degradation model to fully incorporate the point spread function of the aberration. It is shown that a recursive formulation of the aberration results in an image degradation model of order N as opposed te N2.
An algorithm for estimating the object image brightness given the sensor output is presented. Also, accounting for effects suchas sensor demonstrated. Interpolation is readily achieved with little additional computational effort.
Examples (which demonstrate the effectiveness of the proposed techniques) are included.
KeywordsPoint Spread Function Transducer Array Image Brightness Acoustic Imaging Scanning Direction
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- Aoki, Y., “Acoustical Holograms and Optical Reconstruction,’` Acoustic Holography vol. 1, Plenum Press, pp. 223–247, 1969.Google Scholar
- Knollman, C. Weaver, J.L., and Hartog, J.J., “Linear Receiving Array for Acoustic Imaging and Holography,” Acoustical Holography vol. 5, Plenum Press, pp. 647–658, 1974.Google Scholar
- Takagi, N., Kawashima, T., Ogura, T., and Yamada, T., “Solid-State Acoustic mage Sensor,” Acoustical Holography vol. 4, Plenum Press, pp. 215–236, 1972.Google Scholar
- Johnson, S.A., Greenleaf, J.F., Duck, F.A., Chu, A., Samayoa, W R., and Gilbert, G.K., “Digital Computer Simulation Study of a Real-Time Collection, Post-Processing Synthetic Focusing Ultrasound Cardiac Camera,” Acoustical Holography vol. 6, Plenum Press, pp. 193–211, 1975.Google Scholar
- Goldstein, A., Ophir, J., and Templeton, A.W., “Research in Ultrasound image Generation: A Computerized Ultrasound Processing, Acquisition, and Display (CUPAD) System, ”Acoustical Holography vol. 6, Plenum Press, pp. 57–70, 1975.Google Scholar
- Goodman, J.W., “Digital Image Formation From Detected Holographic Data,” Acoustical Holography vol. 1, Plenum Press, pp. 173–185, 1969.Google Scholar
- Powers, J.P., “A Computerized Acoustic Imaging Technique Incorporating Object Recognition,” Acoustical Holography vol. 5, Plenum Press, pp. 527–539, 1974.Google Scholar
- Keating, P.I., Koppelman, R.F., and Mueller, R.K., “Maximization_ of Resolution in Three Dimensions,” Acoustical Holography vol. 6, Plenum Press, pp. 525–539, 1975.Google Scholar
- Sato, T. and Wadaka, S., “Incoherent Ultrasonic Imaging System,” J.. Acoust. S.c. Am., vol$158, pp. 1. 013–1017, November 1975.Google Scholar
- ] Collins, H.D. and Hildebrand, B.P., “The Effects of Scanning Position and Motion Errors on Hologram Resolution,” Acoustical Holography vol. 4, Plenum Press, pp. 467–501,’-1972.Google Scholar
- Steinberg, R.F., Keating, P.N., and Koppelman, R.F., “Experimental Implementation of Advanced Processing in Acoustic Holography,” Acoustical Holography vol. 6, Plenum Press,pp, 539–556, 1975.Google Scholar
- Kramer, D.B. and Anand,’D.K.,’“Apodization in Numerical Holography,” J. Acoust. Soc. Am., vol$156, pp. 1545. 1550. November 1974.Google Scholar
- Takagi, !M., Tse, N.B.,;Heidlreder, G.R., Lee, C.H., and Wade, G., “Computer Enhancement of Acoustic Images,” ’Acoustical Holography vol. 5, Plenum Press, pp. 541–550,,1974.Google Scholar
- Sawchuck, A.A., “Space-Variant Image Motion Degradation and Restoration,” Proc. IEEE, vol. 6C, pp. 854–861, July, 1972.Google Scholar
- Ekstrom, M.P., “A Numerical Algorithm for Identifying Spread Functions of Shift-Invariant Imaging Systems,” IEEE Trans. Computers, vol. C-22, pp. 322–328, April 1973.Google Scholar
- Andrews, H.C.` and Patterson, C.L., “Singular Value Decompositions and Digital Image Processing,” IEEE Trans. Acoust. Speech & Signal Proc., vol. ASSP-24, pp. 26–53, February 1976.Google Scholar
- Nahi, N.E., “Role of Recursive Estimation in Statistical Image Enhancement,`` Proc. IEEE, vol. 60, PP. 872–877, July 1972.Google Scholar
- Jain, A.K. and Angel, E., “Image Restoration, Modelling, and Reduction of Dimensionality,” IEEE Trans. Computers, pp. 470–476, May 1974.Google Scholar
- Stamm, J. and Priemer, R., “Recursive Image Enhancement with a Nearest Neighbors Image Sensor Model,” Proc. 13th Allerton Conf. Ckts. Syst. Theory. pp. 467–470, 1975.Google Scholar
- Biswas, K.K. and Mahalanabis, A.K., “Optimal Smooching for Continuous-Time Systems with Mulitple Time Delays,” IEEE Trans. A.to. Contrl., pp. 572–574, August 1972.Google Scholar