Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points
Abstract
We introduce a 3 × 3 × 3 tensor H ^ ijk and its dual H _ ijk which represent the 2D projective mapping of points across three projections (views). The tensor H ^ ijk is a generalization of the well known 2D collineation matrix (homography matrix) and it concatenates two homography matrices to represent the joint mapping across three views. The dual tensor H _ ijk concatenates two dual homography matrices (mappings of line space) and is responsible for representing the mapping associated with moving points along straight-line paths, i.e., H _ ijk can be recovered from line-of-sight measurements only.
Cite
Text
Shashua and Wolf. "Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points." European Conference on Computer Vision, 2000. doi:10.1007/3-540-45054-8_33Markdown
[Shashua and Wolf. "Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points." European Conference on Computer Vision, 2000.](https://mlanthology.org/eccv/2000/shashua2000eccv-homography/) doi:10.1007/3-540-45054-8_33BibTeX
@inproceedings{shashua2000eccv-homography,
title = {{Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points}},
author = {Shashua, Amnon and Wolf, Lior},
booktitle = {European Conference on Computer Vision},
year = {2000},
pages = {507-521},
doi = {10.1007/3-540-45054-8_33},
url = {https://mlanthology.org/eccv/2000/shashua2000eccv-homography/}
}