Suppression of internal multiples with a group sparse Radon transform for imaging the interior of bone

We explore the feasibility of using ultrasound to image through bone. The strong velocity and acoustic impedance contrast between bone and soft tissue like that between salt and sediments, significantly reduces the amount of energy transmitted and generates strong internal multiples. In this paper we present a novel framework for imaging the interior of long bones by using a group sparse hyperbolic radon transform to both denoise and despeckle the resulting image and suppress the internal multiples. Using this technique we demonstrate that it is possible to image the interior of bones despite large velocity contrasts and strong multiples on synthetic and invivo data.

[1]  Mauricio D. Sacchi,et al.  Latest views of the sparse Radon transform , 2003 .

[2]  Venkatesh Saligrama,et al.  Broadband Dispersion Extraction Using Simultaneous Sparse Penalization , 2011, IEEE Transactions on Signal Processing.

[3]  Wenkai Lu,et al.  An accelerated sparse time-invariant Radon transform in the mixed frequency-time domain based on iterative 2D model shrinkage , 2013 .

[4]  J. Tropp Algorithms for simultaneous sparse approximation. Part II: Convex relaxation , 2006, Signal Process..

[5]  Joel A. Tropp,et al.  Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit , 2006, Signal Process..

[6]  K. Shung,et al.  Diagnostic Ultrasound: Imaging and Blood Flow Measurements , 2005 .

[7]  Roberto Stramare,et al.  Sonographic evaluation of bone fractures: a reliable alternative in clinical practice? , 2012, Clinical imaging.

[8]  S. M. Doherty,et al.  Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data , 2000 .

[9]  Françoise Peyrin,et al.  Change in porosity is the major determinant of the variation of cortical bone elasticity at the millimeter scale in aged women. , 2011, Bone.

[10]  Jørgen Arendt Jensen,et al.  Synthetic aperture ultrasound imaging. , 2006, Ultrasonics.

[11]  Zhenchun Li,et al.  Accelerated and automatic sparse parabolic radon transform in the mixed frequency-time domain with alternating split Bregman algorithm , 2016 .

[12]  Pascal Laugier,et al.  Elasticity–density and viscoelasticity–density relationships at the tibia mid-diaphysis assessed from resonant ultrasound spectroscopy measurements , 2016, Biomechanics and modeling in mechanobiology.

[13]  Marc Teboulle,et al.  A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems , 2009, SIAM J. Imaging Sci..

[14]  Richard G. Baraniuk,et al.  Fast Alternating Direction Optimization Methods , 2014, SIAM J. Imaging Sci..