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Published in: International Journal of Computer Assisted Radiology and Surgery 6/2013

01-11-2013 | Original Article

Improving N-wire phantom-based freehand ultrasound calibration

Authors: Guillermo Carbajal, Andras Lasso, Álvaro Gómez, Gabor Fichtinger

Published in: International Journal of Computer Assisted Radiology and Surgery | Issue 6/2013

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Abstract

Purpose

   Freehand tracked ultrasound imaging is an inexpensive non-invasive technique used in several guided interventions. This technique requires spatial calibration between the tracker and the ultrasound image plane. Several calibration devices (a.k.a. phantoms) use N-wires that are convenient for automatic procedures since the segmentation of fiducials in the images and the localization of the middle wires in space are straightforward and can be performed in real time. The procedures reported in literature consider only the spatial position of the middle wire. We investigate if better results can be achieved if the information of all the wires is equally taken into account. We also evaluated the precision and accuracy of the implemented methods to allow comparison with other methods.

Methods

   We consider a cost function based on the in-plane errors between the intersection of all the wires with the image plane and their respective segmented points in the image. This cost function is minimized iteratively starting from a seed computed with a closed-form solution based on the middle wires.

Results

   Mean calibration precision achieved with the N-wire phantom was about 0.5 mm using a shallow probe, and mean accuracy was around 1.4 mm with all implemented methods. Precision was about 2.0 mm using a deep probe.

Conclusions

   Precision and accuracy achieved with the N-wire phantom and a shallow probe are at least comparable to that obtained with other methods traditionally considered more precise. Calibration using N-wires can be done more consistently if the parameters are optimized with the proposed cost function.

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Metadata
Title
Improving N-wire phantom-based freehand ultrasound calibration
Authors
Guillermo Carbajal
Andras Lasso
Álvaro Gómez
Gabor Fichtinger
Publication date
01-11-2013
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Computer Assisted Radiology and Surgery / Issue 6/2013
Print ISSN: 1861-6410
Electronic ISSN: 1861-6429
DOI
https://doi.org/10.1007/s11548-013-0904-9

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