Estimation of Optimal Fiducial Target Registration Error in the Presence of Heteroscedastic Noise

Author

Ma, Burton ; Moghari, Mehdi H. ; Ellis, Randy E. ; Abolmaesumi, Purang

Author_Institution

Dept. of Comput. Sci. & Eng., York Univ., Toronto, ON, Canada

Volume

29

Issue

3

fYear

2010

fDate

3/1/2010 12:00:00 AM

Firstpage

708

Lastpage

723

Abstract

We study the effect of point dependent (heteroscedastic) and identically distributed anisotropic fiducial localization noise on fiducial target registration error (TRE). We derive an analytic expression, based on the concept of mechanism spatial stiffness, for predicting TRE. The accuracy of the predicted TRE is compared to simulated values where the optimal registration transformation is computed using the heteroscedastic errors in variables algorithm. The predicted values are shown to be contained by the 95% confidence intervals of the root mean square TRE obtained from the simulations.

Keywords

error analysis; image registration; medical image processing; heteroscedastic errors; identically distributed anisotropic fiducial localization noise; optimal fiducial target registration error; optimal registration transformation; point dependent anisotropic fiducial localization noise; root mean square TRE; Anisotropic magnetoresistance; Biomedical optical imaging; Coordinate measuring machines; Gaussian noise; Jitter; Noise measurement; Optical noise; Pollution measurement; Quaternions; Surgery; Heteroscedastic noise; image-guided surgery; point-based registration; registration error; Algorithms; Anisotropy; Computer Simulation; Diagnostic Imaging; Elasticity; Image Processing, Computer-Assisted; Least-Squares Analysis; Models, Statistical; Monte Carlo Method; Reproducibility of Results; Surgery, Computer-Assisted;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2009.2034296

Filename

5423303