Abstract
Scatterer detection in medical ultrasound imaging can be formulated as an inverse problem concerning a linear system model based on point scatterers. The applicability of different methods of regularized inversion is examined and a novel regularization scheme specifically adapted to ultrasound imaging is introduced. The results show that standard inversion methods fail in ultrasound imaging while the proposed new method is a feasible way to improve axial resolution without amplifying erroneous signal components. The consequences of A-line detection by regularized inversion for B-mode imaging are examined by numerical simulations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Shen J, Ebbini ES. A new coded excitation ultrasound imaging system: Part I: Basic principles. IEEE Trans Ultrason Ferroelectr Freq Control. 1996;43(1):131–40.
Hansen PC. Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion. Philadelphia: SIAM; 1998.
Vogel CR. Computational Methods for Inverse Problems. Philadelphia: SIAM; 2002.
Hansen PC. The truncated SVD as a method of regularization. BIT Numeric Math. 1987;27(4):534–53.
Jensen JA. Field: A program for simulating ultrasound systems. Proc 10th Nordic-Baltic Conf Biomed Imaging. 1996; p. 351–3.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gehrke, T., Overhoff, H.M. (2008). Detection of Point Scatterers by Regularized Inversion of a Linear Ultrasound System Model. In: Tolxdorff, T., Braun, J., Deserno, T.M., Horsch, A., Handels, H., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2008. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78640-5_21
Download citation
DOI: https://doi.org/10.1007/978-3-540-78640-5_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78639-9
Online ISBN: 978-3-540-78640-5
eBook Packages: Computer Science and Engineering (German Language)