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ECCV
1998
Springer

On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications

11 years 9 months ago
On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications
This paper investigates the linear degeneracies of projective structure estimation from point and line features across three views. We show that the rank of the linear system of equations for recovering the trilinear tensor of three views reduces to 23 (instead of 26) in the case when the scene is a Linear Line Complex (set of lines in space intersecting at a common line) and is 21 when the scene is planar. The LLC situation is only linearly degenerate, and we show that one can obtain a unique solution when the admissibility constraints of the tensor are accounted for. The line con guration described byan LLC, rather than being some obscure case, is in fact quite typical. It includes, as a particular example, the case of a camera moving down a hallway in an o ce environment or down an urban street. Furthermore, an LLC situation may occur as an artifact such as in direct estimation from spatio-temporal derivatives of image brightness. Therefore, an investigation into degeneracies and t...
Gideon P. Stein, Amnon Shashua
Added 05 Aug 2010
Updated 05 Aug 2010
Type Conference
Year 1998
Where ECCV
Authors Gideon P. Stein, Amnon Shashua
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