Scheduled System Maintenance on May 29th, 2015:
IEEE Xplore will be upgraded between 11:00 AM and 10:00 PM EDT. During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

Projective reconstruction of seven 3D points from two uncalibrated images

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Yuanbin Wang ; Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China ; Bin Zhang ; Fenghua Hou

The recovery of the geometric structure of a 3D point set from its images is fundamental in computer vision. Among other projective reconstruction methods, the direct derivation of projective invariants from uncalibrated images is attracting. There are many forms of projective invariants. For a set of seven 3D points in general position, its geometric structure can be characterized by representing other three points as linear combinations of four reference points. Then the cross ratios of the coefficients of these representations are projective invariant. This paper presents an algorithm for computing these unknown cross ratios from known point correspondences from two images. First, a system of three quadratic equations in three unknowns is derived. After solving the three quadratic equations, a set of six independent projective invariants are derived by solving three systems of linear equations.

Published in:

Future Computer and Communication (ICFCC), 2010 2nd International Conference on  (Volume:1 )

Date of Conference:

21-24 May 2010