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Single wall closed-form differential ultrasound calibration. Najafi, Mohammad; Afsham, Narges; Abolmaesumi, Purang; Rohling, Robert N.
Abstract
In freehand 3D ultrasound, images are acquired while the position of the transducer is recorded with a tracking device. Calibration is essential in this technique to find the transformation from the image coordinates to the reference coordinate system. The single wall technique is a common calibration method because a simple plane phantom is used. Despite its advantages, such as ease of phantom construction and image analysis, this method requires large number of images to converge to the solution. One reason is a lack of a closed-form solution. Also, the technique uses slightly illconditioned sets of equations with a high condition number due to limited range of scanning motions that produce clear images of the plane. Here, a novel closed-form formulation has been proposed for the single wall calibration technique. Also, differential measurements of the plane image are used instead of absolute plane detection to improve accuracy. The closed-form solution leads to more accurate and robust results while providing an insight into understanding error propagation and finding the optimal set of transducer poses. Results have been compared to the conventional single wall technique. A residual error of 0.14 mm is achieved for the proposed method compared to 0.91 mm in the conventional approach. Copyright 2012 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Item Metadata
Title |
Single wall closed-form differential ultrasound calibration.
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Creator | |
Publisher |
Society of Photo-Optical Instrumentation Engineers (SPIE)
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Date Issued |
2012
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Description |
In freehand 3D ultrasound, images are acquired while the position of the transducer is recorded with a tracking device.
Calibration is essential in this technique to find the transformation from the image coordinates to the reference coordinate
system. The single wall technique is a common calibration method because a simple plane phantom is used. Despite its
advantages, such as ease of phantom construction and image analysis, this method requires large number of images to
converge to the solution. One reason is a lack of a closed-form solution. Also, the technique uses slightly illconditioned
sets of equations with a high condition number due to limited range of scanning motions that produce clear images of the
plane. Here, a novel closed-form formulation has been proposed for the single wall calibration technique. Also, differential
measurements of the plane image are used instead of absolute plane detection to improve accuracy. The closed-form solution
leads to more accurate and robust results while providing an insight into understanding error propagation and finding the
optimal set of transducer poses. Results have been compared to the conventional single wall technique. A residual error of
0.14 mm is achieved for the proposed method compared to 0.91 mm in the conventional approach.
Copyright 2012 Society of Photo-Optical Instrumentation Engineers.
One print or electronic copy may be made for personal use only. Systematic reproduction and distribution,
duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
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Genre | |
Type | |
Language |
eng
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Date Available |
2012-03-05
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0107564
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URI | |
Affiliation | |
Citation |
Najafi, Mohammad; Afsham, Narges; Abolmaesumi, Purang; Rohling, Robert N. Single wall closed-form differential ultrasound calibration. Medical Imaging 2012: Image-Guided Procedures, Robotic Interventions, and Modeling, edited by David R. Holmes III, Kenneth H. Wong Proceedings of SPIE, Volume 8316, 83162A, 2012.
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Publisher DOI |
10.1117/12.911459
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Peer Review Status |
Reviewed
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Scholarly Level |
Faculty
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Copyright Holder |
Rohling, Robert N.
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International