English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  3D to 2D bijection for spherical objects under equidistant fisheye projection

Ahmad, A., Xavier, J., Santos-Victor, J., & Lima, P. (2014). 3D to 2D bijection for spherical objects under equidistant fisheye projection. Computer Vision and Image Understanding, 124, 172-183. doi:10.1016/j.cviu.2014.04.004.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0001-2970-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0001-2971-2
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Ahmad, A1, Author              
Xavier, J, Author
Santos-Victor, J, Author
Lima, P, Author
Affiliations:
1Institute for Systems and Robotics, Instituto Superior Técnico, Lisboa, Portugal, ou_persistent22              

Content

show
hide
Free keywords: -
 Abstract: 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.

Details

show
hide
Language(s):
 Dates: 2014-08
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1016/j.cviu.2014.04.004
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Computer Vision and Image Understanding
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 124 Sequence Number: - Start / End Page: 172 - 183 Identifier: -