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ACCV
2009
Springer

Twisted Cubic: Degeneracy Degree and Relationship with General Degeneracy

13 years 10 months ago
Twisted Cubic: Degeneracy Degree and Relationship with General Degeneracy
Fundamental matrix, drawing geometric relationship between two images, plays an important role in 3-dimensional computer vision. Degenerate configurations of space points and two camera optical centers affect stability of computation for fundamental matrix. In order to robustly estimate fundamental matrix, it is necessary to study these degenerate configurations. We analyze all possible degenerate configurations caused by twisted cubic and give the corresponding degenerate rank for each case. Relationships with general degeneracies, the previous ruled quadric degeneracy and the homography degeneracy, are also reported in theory, where some interesting results are obtained such as a complete homography relation between two views. Based on the result of the paper, by applying RANSAC for degenerate data, we could obtain more robust estimations for fundamental matrix.
Tian Lan, Yihong Wu, Zhanyi Hu
Added 25 May 2010
Updated 25 May 2010
Type Conference
Year 2009
Where ACCV
Authors Tian Lan, Yihong Wu, Zhanyi Hu
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