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Published in:
2012 | OriginalPaper | Chapter
A Closed-Form Differential Formulation for Ultrasound Spatial Calibration
Authors : Mohammad Najafi, Narges Afsham, Purang Abolmaesumi, Robert Rohling
Published in: Information Processing in Computer-Assisted Interventions
Publisher: Springer Berlin Heidelberg
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Purpose
: Calibration is essential in tracked freehand 3D ultrasound (US) to find the spatial transformation from the image coordinates to the reference coordinate system. Calibration accuracy is especially important in image-guided interventions.
Method
: We introduce a new mathematical framework that substantially improves the US calibration accuracy. It achieves this by using accurate measurements of axial differences in 1D US signals of a multi-wedge phantom, in a closed-form solution.
Results
: We report a point reconstruction accuracy of 0.3
mm
using 300 independent measurements.
Conclusion
: The measured calibration errors significantly outperform the currently reported calibration accuracies.