Optimal Estimation of Three-Dimensional Rotation and Reliability Evaluation
Abstract
We discuss optimal rotation estimation from two sets of 3-D points in the presence of anisotropic and inhomogeneous noise. We first present a theoretical accuracy bound and then give a method that attains that bound, which can be viewed as describing the reliability of the solution. We also show that an efficient computational scheme can be obtained by using quaternions and applying renormalization. Using real stereo images for 3-D reconstruction, we demonstrate that our method is superior to the least-squares method and confirm the theoretical predictions of our theory by applying the bootstrap procedure.
Cite
Text
Ohta and Kanatani. "Optimal Estimation of Three-Dimensional Rotation and Reliability Evaluation." European Conference on Computer Vision, 1998. doi:10.1007/BFB0055666Markdown
[Ohta and Kanatani. "Optimal Estimation of Three-Dimensional Rotation and Reliability Evaluation." European Conference on Computer Vision, 1998.](https://mlanthology.org/eccv/1998/ohta1998eccv-optimal/) doi:10.1007/BFB0055666BibTeX
@inproceedings{ohta1998eccv-optimal,
title = {{Optimal Estimation of Three-Dimensional Rotation and Reliability Evaluation}},
author = {Ohta, Naoya and Kanatani, Ken-ichi},
booktitle = {European Conference on Computer Vision},
year = {1998},
pages = {175-187},
doi = {10.1007/BFB0055666},
url = {https://mlanthology.org/eccv/1998/ohta1998eccv-optimal/}
}