Decomposition Theory and Transformations of Visual Directions
Abstract
The author shows that there are two basic ways to eliminate rotation; either you eliminate actual (effective) rotation R or abstract rotation R. The transformation of visual directions P is decomposed into pure deformation (pure strain) and abstract rotation. Methods can be grouped as to whether they eliminate actual or abstract rotation. An interesting elimination of R can be done for equatorial motion fields on the image hemisphere, using equator-normal flow, having a moving sensor in a fixed environment. Then rotation can be eliminated by detecting the phase and amplitude of a sine wave hidden in a 1-D signal (the signal is a function of longitudes). Both sparse velocities and normal flow for nearly equator-parallel image contours can be used (directly) as input data. This approach seems robust and can be used in conjunction with the algorithm by R.C. Nelson and J. Aloimonos (1988).< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
Cite
Text
Bergholm. "Decomposition Theory and Transformations of Visual Directions." IEEE/CVF International Conference on Computer Vision, 1990. doi:10.1109/ICCV.1990.139500Markdown
[Bergholm. "Decomposition Theory and Transformations of Visual Directions." IEEE/CVF International Conference on Computer Vision, 1990.](https://mlanthology.org/iccv/1990/bergholm1990iccv-decomposition/) doi:10.1109/ICCV.1990.139500BibTeX
@inproceedings{bergholm1990iccv-decomposition,
title = {{Decomposition Theory and Transformations of Visual Directions}},
author = {Bergholm, Fredrik},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {1990},
pages = {85-90},
doi = {10.1109/ICCV.1990.139500},
url = {https://mlanthology.org/iccv/1990/bergholm1990iccv-decomposition/}
}