Abstract
In seismic, radar, and sonar imaging the exact determination of the reflectivity distribution is usually intractable so that approximations have to be applied. A method called synthetic aperture focusing technique (SAFT) is typically used for such applications as it provides a fast and simple method to reconstruct (3D) images. Nevertheless, this approach has several drawbacks such as causing image artifacts as well as offering no possibility to model system-specific uncertainties. In this paper, a statistical approach is derived, which models the region of interest as a probability density function (PDF) representing spatial reflectivity occurrences. To process the nonlinear measurements, the exact PDF is approximated by well-placed Extended Kalman Filters allowing for efficient and robust data processing. The performance of the proposed method is demonstrated for a 3D ultrasound computer tomograph and comparisons are carried out with the SAFT image reconstruction.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Hovanessian, S.A.: Introduction to Synthetic Array and Imaging Radar. Artech House, Dedham, MA (1980).
Chatillon, J., Zakharia, M.: Synthetic aperture sonar for seabed imaging: relative merits of narrow-band and wideband approaches. IEEE Journal of Oceanic Engineering 17(1), 95–105 (1992).
Claerbout, J.F.: Earth Soundings Analysis: Processing versus Inversion. Boston: Blackwell Scientific Publications, Inc. (1992).
Gemmeke, H., Ruiter, N.V.: 3D ultrasound computer tomography for medical imaging. Nuclear Instruments and Methods in Physics 580(2), 1057–1065 (2007).
University of Alabama: Inverse problems. urlhttp://www.me.ua.edu/inverse/
Norton, S.J., Linzer, M.: Ultrasonic reflectivity imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical and spherical apertures. IEEE Transactions on Biomedical Engineering 28, 202–220 (1981).
Norton, S.J., Linzer, M.: Ultrasonic reflectivity imaging in three dimensions: Reconstruction with spherical transducer arrays. Ultrasonic Imaging, 1, 210–231 (1979).
van Dongen, K.W.A., Wright, W.M.D.: A forward model and conjugate gradient inversion technique for low-frequency ultrasonic imaging. Journal of the Acoustical Society of America 120(4), 2086–2095 (2006).
Lingvall, F.: Time-domain reconstruction methods for ultrasonic array imaging – a statistical approach. Ph.D. thesis, Uppsala University (2004).
Bar-Shalom, Y., Fortmann, T.E.: Tracking and Data Association. New York: Academic Press, Inc. (1988).
Kalman, R.E.: A new approach to linear filtering and prediction problems. Transactions of the ASME, Journal of Basic Engineering 580(82), 35—45 (1960).
Ruiter, N.V., Schnell, R., Zapf, M., Kissel, J., Gemmeke, H.: Phase aberration correction for 3D ultrasound computer tomography images. IEEE Ultrasonics Symposium, pp. 1808–1811. New York, NY, USA (2007).
Schwarzenberg, G.F., Weber, M., Hopp, T., Ruiter, N.V.: Model-based pulse detection for 3D ultrasound computer tomography. In: IEEE Ultrasonics Symposium, pp. 1255–1258. New York, NY, USA (2007).
Mayer, K., Marklein, R., Langenberg, K.J., Kreutter, T.: Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique. Ultrasonics 28, 241–255 (1990).
CIRS Incorporated: Tissue simulation & phantom technology. Norfolk, VA, USA. http:///www.cirsinc.com
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Schwarzenberg, G.F., Mayer, U., Ruiter, N.V., Hanebeck, U.D. (2009). 3D Reflectivity Reconstruction by Means of Spatially Distributed Kalman Filters. In: Hahn, H., Ko, H., Lee, S. (eds) Multisensor Fusion and Integration for Intelligent Systems. Lecture Notes in Electrical Engineering, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89859-7_28
Download citation
DOI: https://doi.org/10.1007/978-3-540-89859-7_28
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89858-0
Online ISBN: 978-3-540-89859-7
eBook Packages: EngineeringEngineering (R0)