Validation of 3-D registration methods based on points and frames
- 1 January 1995
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 557-562
- https://doi.org/10.1109/iccv.1995.466890
Abstract
We propose a new method to estimate a rigid transform from a set of 3-D matched points or matched frames, and we concentrate on the analysis of the uncertainty of the estimated transform. The theoretical contributions are an intrinsic model of noise for transformations based on composition rather than addition, a unified formalism for the estimation of both the rigid transform and its covariance matrix for points or frames correspondences, and also a statistical validation method to verify the error estimation, which applies even when no "ground truth" is available. The practical contribution is the validation of our transform estimation method in the case of 3-D medical images, which shows that a precision of the registration, far below the size of a voxel, can be achieved.Keywords
This publication has 10 references indexed in Scilit:
- 3D recovery of polyhedra by rectangularity heuristicsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Validation of 3-D registration methods based on points and framesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1995
- Robust 3-D-3-D pose estimationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1994
- Extremal points: definition and application to 3D image registrationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1994
- Least-squares estimation of transformation parameters between two point patternsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- The precision of 3-D parameters in correspondence-based techniques: the case of uniform translational motion in a rigid environmentPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1989
- Pose estimation from corresponding point dataIEEE Transactions on Systems, Man, and Cybernetics, 1989
- Least-Squares Fitting of Two 3-D Point SetsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1987
- Closed-form solution of absolute orientation using unit quaternionsJournal of the Optical Society of America A, 1987
- Some Experiments on Estimating the 3-D Motion Parameters of a Rigid Body from Two Consecutive Image FramesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984