Full text: XIXth congress (Part B3,2)

  
Camillo Ressl 
  
dimension of *dangerous surfaces' in practice always appears higher by one. [Luong, Faugeras 1996] use in this context 
the term ‘critical volume’ for emphasizing that depending on the image noise ambiguities and inaccuracies of the 
unknowns may also appear for configurations quite far away from the ‘exact’ dangerous surface. In [Maybank, Shaghy, 
1998] it is shown that reconstruction from three images of six points is subject to a three way ambiguity which i; 
preserved as long as the optical center of the camera remains on a certain quadric surface; i.e. if 6 points are used fo; 
computing the trifocal tensor a real dangerous surface can exist, which is of a special interest for the 6 point algorithm 
proposed by [Torr, Zisserman 1997]. The question arises if this ambiguity due to six points can be broken by any 
seventh point, or are there some constraints which such a ‘point of deliverance’ must meet. 
The topics of gross-error-detection, dangerous situations, constraints within the TFT (also for calibrated images) and the 
inclusion of image-distortion into the TFT-framework will be investigated in more detail in the near future in the course 
of a research-project subsidized by the Austrian Science Fund FWF (P13901-INF). 
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A. Shashua, 1995. Algebraic Functions For Recognition. PAMI Vol. 17 No. 8, pp. 779-788. 
A. Shashua, S. Maybank, 1996. Degenerate N Point Configurations of Three Views: Do Critical Surfaces Exist? 
Technical Report TR 96-19, Hebrew University of Jerusalem. 
A. Shashua, M. Werman, 1995. On the Trilinear Tensor of Three Perspective Views and its Underlying Geometry. 
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776 International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B3. Amsterdam 2000. 
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