A 3D Ultrasound algorithm with alignment and nonlinearity compensation

This paper describes a system to reconstruct a 3D region of the human body from a set of ultrasound images. Several issues make this problem difficult: non uniform sampling of the 3D region, the presence of multiplicative noise (specke), the non linear compression of the ultrasound images performed during the acquisition process and image misalignment. A reconstruction algorithm is proposed which takes all these issues into account in a Bayesian framework. An interpolation model is adopted to define the acoustic reflectivity of the human tissues in the region of interest. The volume coefficients as well as the alignment and compression parameters are estimated by the minimization of a single objective function in three consecutive steps, performed in each iteration of the reconstruction algorithm. Experimental results are presented to assess the performance of the algorithm.

[1]  C. Burckhardt Speckle in ultrasound B-mode scans , 1978, IEEE Transactions on Sonics and Ultrasonics.

[2]  T. Nelson,et al.  Three‐dimensional ultrasound , 1999, Ultrasound in obstetrics & gynecology : the official journal of the International Society of Ultrasound in Obstetrics and Gynecology.

[3]  James F. Greenleaf,et al.  Adaptive speckle reduction filter for log-compressed B-scan images , 1996, IEEE Trans. Medical Imaging.

[4]  João M. Sanches,et al.  A Rayleigh reconstruction/interpolation algorithm for 3D ultrasound , 2000, Pattern Recognit. Lett..

[5]  T. Loupas,et al.  An adaptive weighted median filter for speckle suppression in medical ultrasonic images , 1989 .

[6]  Stan Z. Li,et al.  Close-Form Solution and Parameter Selection for Convex Minimization-Based Edge-Preserving Smoothing , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  J. U. Quistgaard,et al.  Signal acquisition and processing in medical diagnostic ultrasound , 1997, IEEE Signal Process. Mag..

[8]  William H. Press,et al.  Numerical recipes in C , 2002 .

[9]  Robert Rohling,et al.  Issues in 3-D free-hand medical ultrasound imaging , 1996 .

[10]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[11]  E. Jakeman,et al.  A model for non-Rayleigh sea echo , 1976 .

[12]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[13]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[14]  P. Wells,et al.  Speckle in ultrasonic imaging , 1981 .

[15]  D. Owen Handbook of Mathematical Functions with Formulas , 1965 .

[16]  F L Thurstone,et al.  Acoustic speckle: theory and experimental analysis. , 1979, Ultrasonic imaging.

[17]  José M. N. Leitão,et al.  Adaptive restoration of speckled SAR images using a compound random Markov field , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[18]  Samuel D. Conte,et al.  Elementary Numerical Analysis: An Algorithmic Approach , 1975 .

[19]  P.M. Shankar,et al.  Non-Rayleigh statistics of ultrasonic backscattered signals , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[20]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[21]  J. Udupa,et al.  Shape-based interpolation of multidimensional objects. , 1990, IEEE transactions on medical imaging.

[22]  J. Carr Surface reconstruction in 3D medical imaging , 1996 .

[23]  Hemant D. Tagare,et al.  Shape-based nonrigid correspondence with application to heart motion analysis , 1999, IEEE Transactions on Medical Imaging.

[24]  Andrew H. Gee,et al.  Fast surface and volume estimation from non-parallel cross-sections, for freehand 3-D ultrasound , 1998 .