Least-Squares Fitting of Two 3-D Point Sets
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least-Squares Estimation of Transformation Parameters Between Two Point Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-finger cursor techniques
GI '06 Proceedings of Graphics Interface 2006
Simultaneous eye tracking and blink detection with interactive particle filters
EURASIP Journal on Advances in Signal Processing
Pose reconstruction with an uncalibrated computed tomography imaging device
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Stratified Generalized Procrustes Analysis
International Journal of Computer Vision
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We derive an exact solution to the problem of estimating the rotation of a rigid body from noisy 3D image data. Our approach is based on total least squares (TLS), but unlike previous work involving TLS, we include the constraint that the transformation matrix should be orthonormal. It turns out that the solution to the estimation problem has the same form as if the data are not noisy, and thus the solution to the standard Procrustes problem can be applied.