The projective reconstruction of points, lines, quadrics, plane conics and degenerate quadrics using uncalibrated cameras

Authors:
L. Reyes;E. Bayro-Corrochano
Affiliations:
Computer Science Department, P.O. Box 31-438, Plaza La Luna, Cinvestav, López Mateos Sur 590, 44550 Guadalajara Jalisco, México;Computer Science Department, P.O. Box 31-438, Plaza La Luna, Cinvestav, López Mateos Sur 590, 44550 Guadalajara Jalisco, México
Venue:
Image and Vision Computing
Year:
2005

Citing 10
Cited 0

Dual Computation of Projective Shape and Camera Positions from Multiple Images

International Journal of Computer Vision
Affine Structure and Motion from Points, Lines and Conics

International Journal of Computer Vision
The Motor Extended Kalman Filter: A Geometric Approach for Rigid Motion Estimation

Journal of Mathematical Imaging and Vision
Multiple view geometry in computer visiond

Multiple view geometry in computer visiond
A Geometric Approach for the Theory and Applications of 3D Projective Invariants

Journal of Mathematical Imaging and Vision
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane

International Journal of Computer Vision
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion

ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Computation of the Quadrifocal Tensor

ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Gauge Invariance in Projective 3D Reconstruction

MVIEW '99 Proceedings of the IEEE Workshop on Multi-View Modeling & Analysis of Visual Scenes
Quadric Reconstruction from Dual-Space Geometry

ICCV '98 Proceedings of the Sixth International Conference on Computer Vision

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we present an algorithm for the simultaneous projective reconstruction of points, lines, quadrics, plane conics and degenerate quadrics using Bundle Adjustment. In contrast, most existing work on projective reconstruction focuses mainly on one type of primitive. Furthermore, for the reconstruction of quadrics (both full-rank and degenerate) and plane conics, a novel algorithm for the rectification of the outlines projected in n views is presented. Finally, we found out that due to the noise in the data, the global minimum of the classic cost function used in Bundle Adjustment may unfortunately break the topology of the quadrics. Hence, during the iterations of this method, we need to add the constraints to keep the quadrics within acceptable limits to preserve their topology.