Projective reconstruction from lines based on SVD

Maolin Hu; Quanbing Zhang; Sui Wei

doi:10.1117/12.477088

31 July 2002 Projective reconstruction from lines based on SVD

Maolin Hu, Quanbing Zhang, Sui Wei

Proceedings Volume 4875, Second International Conference on Image and Graphics; (2002) https://doi.org/10.1117/12.477088
Event: Second International Conference on Image and Graphics, 2002, Hefei, China

Abstract

A factorization method is proposed for recovering camera motion and object shapes from line correspondences observed in multiple images with perspective projection. For any factorization-based approaches for perspective image, just like from point correspondences, scaling parameters called projecting depths must be estimated in order to obtain a measurement matrix that could be decomposed into motion and shape. One possible approach, proposed by Sturm and Triggs[Sturm-96], is to compute projective depths from linear relations of multiple images, for example, fundamental matrix for two images, and the trifocal tensor for three images. However, the estimation process of the fundamental matrices or trifocal tensor might be unstable if the measurement noise is large or the camera and the object points are nearly in critical configurations. In this paper, we first develop the line imaging geometry from the point imaging geometry, and then form a measurement matrix j ust like for the points, and propose an algorithm by which the projective depths are iteratively estimated so that the measurement matrix is made to be as close as possible to rank 6. At last, we factorize the measurement matrix into two matrices, and exploit the relation of Plucker coordinates of the lines to achieve the camera motion and shape in 3D projective space. This estimation process requires no the linear relations between the images and is therefore robust against measurement noises. The validity of the proposed method is confirmed by experiments with synthetic and real images.

Citation Download Citation

Maolin Hu, Quanbing Zhang, and Sui Wei "Projective reconstruction from lines based on SVD", Proc. SPIE 4875, Second International Conference on Image and Graphics, (31 July 2002); https://doi.org/10.1117/12.477088

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available