A New Method of 3-D Motion Analysis Using a Concept of Projective Geometry
Abstract
This paper describes a method of interpreting three dimensional motion of an object by making use of rigidity assumption and orientation of its edge. We employ a vanishing point to determine the orientation. We propose a new idea of using cross ratio, i.e. one of the most fundamental concepts in projective geometry to find a vanishing point of a line. This allows to calculate the location of a vanishing point with a known sequence of points on it without another parallel line required by the conventional method.
Cite
Text
Kitahashi and Endo. "A New Method of 3-D Motion Analysis Using a Concept of Projective Geometry." International Joint Conference on Artificial Intelligence, 1985.Markdown
[Kitahashi and Endo. "A New Method of 3-D Motion Analysis Using a Concept of Projective Geometry." International Joint Conference on Artificial Intelligence, 1985.](https://mlanthology.org/ijcai/1985/kitahashi1985ijcai-new/)BibTeX
@inproceedings{kitahashi1985ijcai-new,
title = {{A New Method of 3-D Motion Analysis Using a Concept of Projective Geometry}},
author = {Kitahashi, Tadahiro and Endo, Hiroyuki},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {1985},
pages = {902-904},
url = {https://mlanthology.org/ijcai/1985/kitahashi1985ijcai-new/}
}