Paper Info
Title
3D reconstruction based on invariant properties of 2d lines in projective space
Abstract
Projective reconstruction is known to be an important step for 3D reconstruction in Euclidean space. In this paper, we present a new projective reconstruction algorithm based on invariant properties of the line segments in projective space: collinearity, order of contact, intersection. Points on each line segment in the image are reconstructed in projective space, and we determine the best-fit 3D line from them by Least-Median-Squares (LMedS). Our method regards the points unsatisfying collinearity as outliers, which are caused by false feature detection and tracking. In addition, both order of contact and intersection in projective space are considered. By using the points that are the orthogonal projection of outliers onto the 3D line, we iteratively obtain more precise projective matrix than the previous method.
Year
DOI
Venue
2005
10.1007/11538059_67
ICIC (1)
Keywords
Field
DocType
precise projective matrix,invariant property,new projective reconstruction algorithm,projective space,previous method,line segment,important step,false feature detection,euclidean space,projective reconstruction,3d reconstruction,feature detection,orthogonal projection
Discrete mathematics,Topology,Projective harmonic conjugate,Line at infinity,Computer science,Algorithm,Complex projective space,Homography,Pencil (mathematics),Real projective line,Collineation,Projective space
Conference
Volume
ISSN
ISBN
3644
0302-9743
3-540-28226-2
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Bo-Ra Seok100.68
Yongho Hwang2125.74
Hyun-ki Hong36414.17