Analytic Expressions for Fiducial and Surface Target Registration Error

We propose and test analytic equations for approximating expected fiducial and surface target registration error (TRE). The equations are derived from a spatial stiffness model of registration. The fiducial TRE equation is equivalent to one presented by. We believe that the surface TRE equation is novel, and we provide evidence from computer simulations to support the accuracy of the approximation.

[1]  Robert B. Lufkin.  Interactive Image‐guided Neurosurgery. Edited by Robert Maciunas, MD Park Ridge, Ill: American Assocation of Neurologic Surgeons (AANS), 1993 $90 list, $80 AANS members , 1994 .

[2]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Jocelyne Troccaz,et al.  CVRMed-MRCAS'97 , 1997, Lecture Notes in Computer Science.

[4]  Terry M. Peters,et al.  Medical Image Computing and Computer-Assisted Intervention - MICCAI 2003 , 2003, Lecture Notes in Computer Science.

[5]  Burton Ma.  A unified approach to surface-based registration for image-guided surgery , 2005 .

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

[7]  D. Hill,et al.  Accurate frameless registration of MR and CT images of the head: applications in planning surgery and radiation therapy. , 1994, Radiology.

[8]  Daniel J. Inman,et al.  Engineering Mechanics: Dynamics , 1966 .

[9]  Robert J. Maciunas,et al.  Registration of head volume images using implantable fiducial markers , 1997, IEEE Transactions on Medical Imaging.

[10]  Joel W. Burdick,et al.  A stiffness-based quality measure for compliant grasps and fixtures , 2000, IEEE Trans. Robotics Autom..

[11]  Sheldon M. Ross,et al.  Introduction to probability models , 1975 .

[12]  David J. Fleet,et al.  A method for evalutating CT-based surgical registration , 1997, CVRMed.

[13]  Pierre Hellier,et al.  Level Set Methods in an EM Framework for Shape Classification and Estimation , 2004, International Conference on Medical Image Computing and Computer-Assisted Intervention.

[14]  Randy E. Ellis,et al.  Spatial-Stiffness Analysis of Surface-Based Registration , 2004, MICCAI.

[15]  Randy E. Ellis,et al.  A Spatial-Stiffness Analysis of Fiducial Registration Accuracy , 2003, MICCAI.

[16]  R. Hibbeler.  Engineering Mechanics: Dynamics , 1986 .

[17]  Sheldon M. Ross,et al.  Introduction to Probability Models (4th ed.). , 1990 .