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Comparing calibration approaches for 3D ultrasound probes

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International Journal of Computer Assisted Radiology and Surgery Aims and scope Submit manuscript

Abstract

Objective

By adding a tracking sensor to a 3D ultrasound (US) probe and thus locating the probe in space, new applications within the fields of image guided surgery and radiation therapy are possible. To locate the US volume in space, a calibration is necessary to determine the mathematical transformation for mapping points from the tracking coordinate system to the US image coordinate system. We present a comprehensive comparison of two different approaches to perform this calibration for 3D US.

Methods

For both approaches a phantom is scanned and located in the images by means of segmentation and registration techniques. Calibration is then performed by either relating the tracked phantom’s (TP) spatial location to the calibration scans, or by solely correlating scans taken from multiple perspectives when using hand–eye calibration methods (HE). Depending on which approach is utilized, a minimum of one or three images, respectively, need to be acquired for the calibration process.

Results

We evaluated both approaches for calibration and reconstruction precision. Regarding the latter, the performed tests led to mean target localization errors of 3.5 mm (HE) and 3.3 mm (TP) for real data, and of 1.4 mm (HE) and 0.9 mm (TP) for simulated data.

Conclusion

Our results indicate that taking additional scans leads to a significant improvement in the calibration. Furthermore, the obtained calibration and reconstruction precisions suggest the use of a TP.

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References

  1. Adams R, Bischof L (1994) Seeded region growing. IEEE Trans Pattern Anal Mach Intell 16(6): 641–647

    Article  Google Scholar 

  2. Andreff N, Horaud RP, Espiau B (2001) Robot hand–eye calibration using structure from motion. Int J Rob Res 20(3): 228–248

    Article  Google Scholar 

  3. Besl PJ, McKay HD (1992) A method for registration of 3-d shapes. IEEE Trans Pattern Anal Mach Intell 14(2): 239–256

    Article  Google Scholar 

  4. Boctor EM, Iordachita I, Fichtinger G, Hager GD (2006) Ultrasound self-calibration. Proc SPIE 6141: 784–795

    Google Scholar 

  5. Bouchet LG, Meeks SL, Goodchild G, Bova FJ, Buatti JM, Friedman WA (2001) Calibration of three-dimensional ultrasound images for image-guided radiation therapy. Phys Med Biol 46: 559–577

    Article  PubMed  CAS  Google Scholar 

  6. Carr J (1996) Surface reconstruction in 3D medical imaging. Ph.D. thesis, University of Canterbury, Christchurch, New Zealand

  7. Chen HH (1991) A screw motion approach to uniqueness analysis of head-eye geometry. In: Proceedings CVPR, IEEE Computer Society Conference, pp 145–151

  8. Chou JCK, Kamel M (1991) Finding the position and orientation of a sensor on a robot manipulator using quaternions. Int J Rob Res 10(3): 240–254

    Article  Google Scholar 

  9. Daniilidis K (1999) Hand–eye calibration using dual quaternions. Int J Rob Res 18: 286–298

    Article  Google Scholar 

  10. Hassenpflug P, Vetter M, Wolf I, Thorn M, Grenacher L, Richter GM, Lamade W, Uhl W, Buechler MW, Meinzer H-P (2003) Generation of attributed relational vessel-graphs from three-dimensional freehand ultrasound for intraoperative registration in image-guided liver surgery. Proc SPIE 5029: 222–230

    Article  Google Scholar 

  11. Hastenteufel M, Mottl-Link S, Wolf I, de Simone R, Meinzer H-P (2003) A method for the calibration of 3D ultrasound transducers. Proc SPIE 5029: 231–238

    Article  Google Scholar 

  12. Horaud R, Dornaika F (1995) Hand–eye calibration. Int J Rob Res 14: 195–210

    Article  Google Scholar 

  13. Kavan L, Collins S, O’Sullivan C, Zara J (2006) Dual Quaternions for Rigid Transformation Blending. Technical Report TCD-CS-2006-46, Trinity College, Dublin

  14. Khadem R, Yeh CC, Sadeghi-Tehrani M, Bax MR, Johnson JA, Welch JN, Wilkinson EP, Shahidi R (2000) Comparative tracking error analysis of five different optical tracking systems. Comput Aided Surg 5(2): 98–107

    Article  PubMed  CAS  Google Scholar 

  15. Lange T, Eulenstein S (2002) Calibration of swept-volume 3D ultrasound. In: Proceedings of Medical Image Understanding and Analysis 2002, The University of Portsmouth

  16. Lindseth F, Tangen GA, Lango T, Bang J (2003) Probe calibration for freehand 3-d ultrasound. Ultrasound Med Biol 29(11): 1607–1623

    Article  PubMed  Google Scholar 

  17. Ma B, Moghari MH, Ellis RE, Abolmaesumi P (2007) On fiducial target registration error in the presence of anisotropic noise. In: Proc MICCAI, vol 4792. Springer, Berlin, pp 628–635

  18. Mercier L, Lango T, Lindseth F, Collins DL (2005) A review of calibration techniques for freehand 3D ultrasound systems. Ultrasound Med Biol 31(4): 449–471

    Article  PubMed  Google Scholar 

  19. Moré JJ (1978) The Levenberg-Marquardt algorithm: implementation and theory. In: Watson GA (ed) Numerical analysis: proceedings of the Biennial Conference held at Dundee, June 28–July 1, 1977. Lecture Notes in Mathematics, vol 630. Springer, Berlin, pp 104–116 (of xii + 199)

  20. Poon TC, Rohling RN (2005) Comparison of calibration methods for spatial tracking of a 3D ultrasound probe. Ultrasound Med Biol 31(8): 1095–1108

    Article  PubMed  Google Scholar 

  21. Prager RW, Rohling RN, Gee AH, Berman L (1998) Rapid calibration for 3-d freehand ultrasound. Ultrasound Med Biol 24(6): 855–869

    Article  PubMed  CAS  Google Scholar 

  22. Schmidt J, Vogt F, Niemann H (2005) Robust hand–eye calibration of an endoscopic surgery robot using dual quaternions. In: Pattern Recognition, 27th DAGM Symposium, vol 3663. Springer, Berlin, pp 548–556

  23. Strobl KH, Hirzinger (2006) Optimal hand–eye calibration. In: Proc IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2006), Beijing, China, pp 4647–4653

  24. Treece GM, Gee AH, Prager RW, Cash CJC, Berman LH (2003) High-definition freehand 3-d ultrasound. Ultrasound Med Biol 29(4): 529–546

    Article  PubMed  Google Scholar 

  25. Tsai RY, Lenz RK (1989) A new technique for fully autonomous and efficient 3D robotics hand/eye calibration. IEEE Trans Rob Autom 5: 345–358

    Article  CAS  Google Scholar 

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Correspondence to C. Bergmeir or I. Wolf.

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Bergmeir, C., Seitel, M., Frank, C. et al. Comparing calibration approaches for 3D ultrasound probes. Int J CARS 4, 203–213 (2009). https://doi.org/10.1007/s11548-008-0258-x

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  • DOI: https://doi.org/10.1007/s11548-008-0258-x

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