The algebraic geometry of motions of bar-and-body frameworks
SIAM Journal on Algebraic and Discrete Methods
The union of matroids and the rigidity of frameworks
SIAM Journal on Discrete Mathematics
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane
International Journal of Computer Vision
From Reference Frames to Reference Planes: Multi-View Parallax Geometry and Applications
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Duality of reconstruction and positioning from projective views
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
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Rother and Carlsson introduced the Direct Reference Plane method for obtaining a projective reconstruction from a multi-view system, presuming the availability of a planar reference quadrangle in each view. In this method feature points and camera centres are obtained simultaneously by solving a system of homogeneous linear equations. Each feature-camera visibility pair corresponds to two equations in this system. In this paper we derive a count criterion for characterizing sufficient visibility, yielding a system of linearly independent equations that "determines" feature points and camera centres. Finally we discuss some principles to extend the configuration of feature points and camera centres while maintaining sufficient visibility.