Abstract
In this paper, we use the natural neighbor coordinates and its properties as a tool for electromagnetic tracker calibration. We have established a framework for computing the three-dimensional natural neighbor coordinates and used it for the calibration process for which we wish to eliminate the distortion error presented in the electromagnetic field. Our work comprises of two main parts. The first is about the computational model of the natural neighbor coordinates while the second is a discussion on the result we get after calibrating the electromagnetic tracker distortion. Our result has shown that the natural neighbor coordinates can be a promising method for approximating the distortion in the electromagnetic field and for calibrating the distorted field data.
This work was fully supported by National Basic Research Program of China (NO.2002CB312106).
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Barber, C.B., Dobkin, D.P., Huhdanpaa, H.T.: The Quickhull algorithm for convex hulls. ACM Transactions on Mathematical Software 22, 469–483 (1996)
Belikov, V.V., Andrie, Y.S.: Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isoline generation. Applied Numerical Mathematics 32, 371–380 (2000)
Boissonnat, J.D., Cazals, F.: Smooth surface reconstruction via natural neighbor interpolation of distance functinos. Computational Geometry 22, 185–203 (2002)
Borst, C.W.: Tracker calibration using tetrahedral mesh and tricubic spline models of warp. In: Proceedings of IEEE Virtual Reality 2004, pp. 19–26 (2004)
Briggs, W.: Magnetic calibration by tetrahedral interpolation. In: Proceedings of NIST-ASME Industrial Virtual Reality Symposium, Chicago, IL, vol. 9, pp. 27–32 (1999)
Bryson, S.: Measurement and calibration of static distortion of position data from 3D trackers. In: Proceedings of SPIE Conference on Stereoscopic displays and applications III, San Jose, CA, February 12-13, 1992, pp. 244–255 (1992)
Czernuszenko, M., Sandin, D., DeFanti, T.: Line of sight method for tracker calibration in projection-based VR systems. In: Proceedings of the 2nd International Immersive Projection Technology Workshop, May 11-12, 1998, Ames, Iowa (1998)
Devillers, O., Pion, S., Tellaud, M.: Walking in a triangulation. In: Proceedings of the 7th Annual Symposium on Computational Geometry (SCG 2001), Medford, Massachusetts, USA, pp. 106–114 (2001)
Ghazisaedy, M., Adamczyk, D., Sandin, J., Kenyon, R.V., DeFanti, T.: Ultrasonic calibration of a magnetic tracker in a virtual reality space. In: Proceedings of the Virtual Reality Annual International Symposium, Research Triangle Park, NV, March 1995, pp. 179–188 (1995)
Kindratenko, V., Bennett, A.: Evaluation of rotation correction techniques for electromagnetic position tracking systems. In: Proceedings of the Virtual Environments 2000 Eurographics Workshop, Amesterdam, the Netherland, June 2000, pp. 13–22 (2000)
Livingston, M.A., State, A.: Magnetic tracker calibration for improved augmented reality registration. Teleoperator and Virtual Environment 16, 532–546 (1997)
Owen, S.J.: An implementation of natural neighbor interpolation in three dimensions. Master’s thesis, Brighham Young University (1992)
Prak, S., Linsen, L., Kreylos, O., Owens, J.D., Hamann, B.: Discrete sibson interpolation. IEEE Transactions on Visualization and Computer Graphics 12, 243–253 (2006)
Raab, F., Blood, E., Steiner, T., Jones, R.: Magnetic position and orientation tracking system. IEEE Transactions on Aerospace and Electronic Systems 15, 709–718 (1979)
Sambridge, M., Braun, J., McQueen, H.: Computational methods for performing natural neighbor interpolation in two and three dimensions. In: Proceedings of the 7th Biennial Conference on Computational Techniques and Applications (CTAC 1995), pp. 685–692 (1995)
Sibson, R.: A brief description of natural neighbor interpolation. Interpreting Multivariate Data, pp. 21–36 (1981)
Sukumar, N.: The natural element method in solid mechanics. Ph. D. Thesis, Northwestern University, Evanston, IL, USA (June 1998)
Waston, D.F.: Compound signed decomposition, the core of natural neighbor interpolation in n-Dimensional space (2001), See ftp://ftp.iamg.org/Waston/core.ps.gz
Zachmann, G.: Distortion correction of magnetic fields for position tracking. In: Proceedings of Computer Graphics International (CGI 1997), Hasselt, Belgium, June 23-27, 1997, pp. 213–220 (1997)
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Li, Y., Chen, W., Lu, D., Zhao, L. (2006). Applying Natural Neighbor Coordinates for Electromagnetic Tracker Calibration. In: Levi, A., Savaş, E., Yenigün, H., Balcısoy, S., Saygın, Y. (eds) Computer and Information Sciences – ISCIS 2006. ISCIS 2006. Lecture Notes in Computer Science, vol 4263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11902140_39
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DOI: https://doi.org/10.1007/11902140_39
Publisher Name: Springer, Berlin, Heidelberg
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