ELECTROMAGNETIC TRACKER CHARACTERIZATION AND OPTIMAL TOOL DESIGN (WITH APPLICATIONS TO ENT SURGERY)

Electromagnetic tracking systems prove to have great potential for serving as the tracking component of image guided surgery (IGS) systems. However, despite their major advantage over other trackers in that they do not require line-of-sight to the sensors, their use has been limited primarily due to their inherent measurement distortion problem. Presented here are methods of mapping the measurement field distortion and results describing the distortion present in various environments. Further, a framework for calibration and characterization of the tracking system’s systematic error is presented. The error maps are used to generate polynomial models of the distortion that can be used to dynamically compensate for measurement errors. The other core theme of this work is related to optimal design of electromagnetically tracked tools; presented here are mathematical tools for analytically predicting error propagation and optimally configuring sensors on a tool. A software simulator, using a model of the magnetic field distortion, is used to further design and test these tools in a simulation of actual measurement environments before ever even being built. These tools are used to design and test a set of electromagnetically tracked instruments, specifically for ENT surgical applications.

[1]  J. Lindy Books , 1985, The Lancet.

[2]  Eric E. Smith,et al.  Uncertainty analysis , 2001 .

[3]  Andrew D. Wiles,et al.  Accuracy assessment protocols for elektromagnetic tracking systems , 2003, CARS.

[4]  P. Batchelor,et al.  A study of the anisotropically weighted procrustes problem [optical image-guided surgery application] , 2000, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis. MMBIA-2000 (Cat. No.PR00737).

[5]  R. Sibson Studies in the Robustness of Multidimensional Scaling: Procrustes Statistics , 1978 .

[6]  Russell H. Taylor,et al.  A framework for calibration of electromagnetic surgical navigation system , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[7]  H Bergmann,et al.  Systematic distortions in magnetic position digitizers. , 1998, Medical physics.

[8]  François Poulin,et al.  Interference during the use of an electromagnetic tracking system under OR conditions. , 2002, Journal of biomechanics.

[9]  K. S. Arun,et al.  Least-Squares Fitting of Two 3-D Point Sets , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Valerie Duay,et al.  Cortical Shift Tracking Using a Laser Range Scanner and Deformable Registration Methods , 2003, MICCAI.

[11]  Guang-Zhong Yang,et al.  Freehand Cocalibration of Optical and Electromagnetic Trackers for Navigated Bronchoscopy , 2004, MIAR.

[12]  Leo Dorst,et al.  First order error propagation of the Procrustes method for 3D attitude estimation , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Russell H. Taylor,et al.  A Modular 2-DOF Force-Sensing Instrument For Laparoscopic Surgery , 2003, MICCAI.

[14]  Wolfgang Birkfellner,et al.  Calibration of tracking systems in a surgical environment , 1998, IEEE Transactions on Medical Imaging.

[15]  Volodymyr V. Kindratenko,et al.  Evaluation of rotation correction techniques for electromagnetic position tracking systems , 2000 .

[16]  Karel Zikan,et al.  A note on averaging rotations , 1993, Proceedings of IEEE Virtual Reality Annual International Symposium.

[17]  Wolfgang Birkfellner,et al.  Evaluation of a miniature electromagnetic position tracker. , 2002, Medical physics.

[18]  E. Crelin Atlas of Human Anatomy , 1965, The Yale Journal of Biology and Medicine.

[19]  Jay B. West,et al.  Designing optically tracked instruments for image-guided surgery , 2004, IEEE Transactions on Medical Imaging.

[20]  Gabriel Zachmann,et al.  Distortion correction of magnetic fields for position tracking , 1997, Proceedings Computer Graphics International.

[21]  Steve T. Bryson Measurement and calibration of static distortion of position data from 3D trackers , 1992, Electronic Imaging.

[22]  Russell H. Taylor,et al.  A Direction Space Interpolation Technique for Calibration of Electromagnetic Surgical Navigation Systems , 2003, MICCAI.

[23]  W S Ng,et al.  Magnetic tracker calibration for an augmented reality system for therapy , 2001, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[24]  Mark A. Livingston,et al.  Magnetic Tracker Calibration for Improved Augmented Reality Registration , 1997, Presence: Teleoperators & Virtual Environments.

[25]  C. Goodall Procrustes methods in the statistical analysis of shape , 1991 .

[26]  Assem S. Deif,et al.  Advanced matrix theory for scientists and engineers , 1990 .

[27]  Ken Masamune,et al.  Needle Insertion in CT Scanner with Image Overlay - Cadaver Studies , 2004, MICCAI.

[28]  Randall Smith,et al.  Estimating Uncertain Spatial Relationships in Robotics , 1987, Autonomous Robot Vehicles.

[29]  C. Maurer,et al.  The Impact of Fiducial Distribution on Headset-Based Registration in Image-Guided Sinus Surgery , 2003, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[30]  P. Schönemann,et al.  Fitting one matrix to another under choice of a central dilation and a rigid motion , 1970 .

[31]  Gerald B. Folland,et al.  Other References , 1965, Comparative Education Review.

[32]  E. M. Hartwell Boston , 1906 .

[33]  Ken Masamune,et al.  Image overlay guidance for needle insertion in CT scanner , 2005, IEEE Transactions on Biomedical Engineering.

[34]  Jay B. West,et al.  Predicting error in rigid-body point-based registration , 1998, IEEE Transactions on Medical Imaging.

[35]  M. F.,et al.  Bibliography , 1985, Experimental Gerontology.

[36]  Volodymyr V. Kindratenko,et al.  A survey of electromagnetic position tracker calibration techniques , 2005, Virtual Reality.

[37]  Makoto Hashizume,et al.  A Rapid Method for Magnetic Tracker Calibration Using a Magneto-Optic Hybrid Tracker , 2003, MICCAI.

[38]  Jay B. West,et al.  The distribution of target registration error in rigid-body point-based registration , 2001, IEEE Transactions on Medical Imaging.

[39]  A. J. Collins,et al.  Perturbation Theory for Generalized Procrustes Analysis , 1985 .

[40]  B. Hamber Publications , 1998, Weed Technology.

[41]  P. Schönemann,et al.  A generalized solution of the orthogonal procrustes problem , 1966 .

[42]  R. Sibson Studies in the Robustness of Multidimensional Scaling: Perturbational Analysis of Classical Scaling , 1979 .

[43]  A. Deif Sensitivity analysis in linear systems , 1986 .

[44]  Russell H. Taylor,et al.  A dual-armed robotic system for intraoperative ultrasound guided hepatic ablative therapy: a prospective study , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[45]  Y. Ronen Uncertainty Analysis , 1988 .

[46]  G. Farin Curves and Surfaces for Cagd: A Practical Guide , 2001 .

[47]  Randall Smith,et al.  Estimating uncertain spatial relationships in robotics , 1986, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[48]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[49]  Charles L. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.

[50]  Franz Kainberger,et al.  Quantitative analysis of factors affecting intraoperative precision and stability of optoelectronic and electromagnetic tracking systems. , 2002, Medical physics.

[51]  Peter Cheeseman,et al.  On the Representation and Estimation of Spatial Uncertainty , 1986 .

[52]  S. Umeyama,et al.  Least-Squares Estimation of Transformation Parameters Between Two Point Patterns , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[53]  D. Prowe Berlin , 1855, Journal of public health, and sanitary review.

[54]  Roy W. Martin,et al.  Three-dimensional ultrasound imaging using multiple magnetic tracking systems and miniature magnetic sensors , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[55]  Peter Kazanzides,et al.  Intra-operative Ischemia Sensing Surgical Instruments , 2005 .

[56]  Xavier Pennec,et al.  A Framework for Uncertainty and Validation of 3-D Registration Methods Based on Points and Frames , 1995, Proceedings of IEEE International Conference on Computer Vision.

[57]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[58]  F Vorbeck,et al.  Comparison of six three-dimensional navigation systems during sinus surgery. , 2001, Acta oto-laryngologica.