Abstract
In this paper, we present a new mathematical model for describing sector-scan acoustic imaging. To realize a simple and intuitive representation, we have constructed a linear model using proper approximation. We have also introduced the notion of directional frequency, which is the Fourier counterpart of a direction. As a result, the process of acoustic imaging is modeled as a filtering operation in temporal and directional frequency space. In the frequency-domain expression, various parameters of a system independently contribute to the filtering function, and their effects on reconstructed images can therefore be analyzed easily and graphically. We have derived some characteristics of acoustic imaging using our model, and have verified them by simulation. The results of the simulation agree with what is expected from the model, demonstrating its validity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Murino, V., Trucco, A.: Three-dimensional image generation and processing in underwater acoustic vision. Proc. IEEE 88(12), 1903–1948 (2000)
Lockwood, G., Li, P.-C., O’Donnell, M., Foster, F.: Optimizing the radiation pattern of sparse periodic linear arrays. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 43(1), 7–14 (1996)
Soumekh, M.: Fourier Array Imaging. Prentice-Hall, Inc., Upper Saddle River (1994)
Walker, W., Trahey, G.: The application of k-space in pulse echo ultrasound. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45(3), 541–558 (1998)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media B.V.
About this paper
Cite this paper
Ito, T., Sugimoto, M., Hashizume, H. (2012). A Simple Linear Model of Acoustic Imaging in Temporal and Directional Frequency Space. In: Nowicki, A., Litniewski, J., Kujawska, T. (eds) Acoustical Imaging. Acoustical Imaging, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2619-2_27
Download citation
DOI: https://doi.org/10.1007/978-94-007-2619-2_27
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2618-5
Online ISBN: 978-94-007-2619-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)