Reconstruction of quadratic curves in 3-D from two or more perspective views
type: Item
instance of: scholarly article
title: Reconstruction of quadratic curves in 3-D from two or more perspective views
zbMATH Open document ID: 1130.68330
DOI: 10.1080/10241230215283
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2004-08-23T00:00:00Z
full work available at URL: https://eudml.org/doc/53759
review text: Summary: The issues involved in the reconstruction of a quadratic curve in 3-D space from arbitrary perspective projections are described in this paper. Correspondence between the projections of the curve on the image planes is assumed to be established. Equations for reconstruction of the 3-D curve, which give the parameters of the 3-D quadratic curve are determined. Uniqueness of the solution in the process of reconstruction is addressed and solved using additional constraints. As practical examples, reconstruction of circles, parabolas and pair of straight lines in 3-D space are demonstrated.
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 2094350
zbMATH Keywords: perspective projections
zbMATH Keywords: additional constraints
MaRDI profile type: Publication
OpenAlex ID: W2133410720
Recommended article: Reconstruction of curved solids from two polygonal orthographic views
Recommended article: Q3623470
Recommended article: Error estimation in reconstruction of quadratic curves in 3D space
Recommended article: Computer Vision - ECCV 2004
Recommended article: Q4325844
Recommended article: Inferring solids composed of linear and quadratic surfaces from incomplete three views
description: scientific article; zbMATH DE number 2094350