3D to 2D bijection for spherical objects under equidistant fisheye projection
2014
Article
ps
The core problem addressed in this article is the 3D position detection of a spherical object of known-radius in a single image frame, obtained by a dioptric vision system consisting of only one fisheye lens camera that follows equidistant projection model. The central contribution is a bijection principle between a known-radius spherical object’s 3D world position and its 2D projected image curve, that we prove, thus establishing that for every possible 3D world position of the spherical object, there exists a unique curve on the image plane if the object is projected through a fisheye lens that follows equidistant projection model. Additionally, we present a setup for the experimental verification of the principle’s correctness. In previously published works we have applied this principle to detect and subsequently track a known-radius spherical object.
Author(s): | Ahmad, A and Xavier, J and Santos-Victor, J and Lima, P |
Journal: | Computer Vision and Image Understanding |
Volume: | 125 |
Pages: | 172--183 |
Year: | 2014 |
Month: | August |
Department(s): | Perzeptive Systeme |
Bibtex Type: | Article (article) |
DOI: | 10.1016/j.cviu.2014.04.004 |
BibTex @article{AhmadXSL2014, title = {3D to 2D bijection for spherical objects under equidistant fisheye projection}, author = {Ahmad, A and Xavier, J and Santos-Victor, J and Lima, P}, journal = {Computer Vision and Image Understanding}, volume = {125}, pages = {172--183}, month = aug, year = {2014}, doi = {10.1016/j.cviu.2014.04.004}, month_numeric = {8} } |