Mathematica: a system for doing mathematics by computer (2nd ed.)
Mathematica: a system for doing mathematics by computer (2nd ed.)
Dynamic map building for an autonomous mobile robot
International Journal of Robotics Research
Geometric invariance in computer vision
Geometric invariance in computer vision
Classification Based on the Cross Ratio
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Practical error analysis of cross-ratio-based planar localization
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
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In computer vision the cross ratio is the basis of many recognition algorithms which do not require estimates of the position and orientation of the camera. The cross ratio is also employed in vehicle navigation, in which it is necessary to identify artificial landmarks or beacons placed in the environment. A stochastic model is constructed in order to assess the false alarm rate in a recognition system based on the cross ratio. The evolution of a quadruple of measurements is modelled by a Brownian motion in @?^4. Let @t"@s be the first time at which the Brownian motion hits the set of measurement vectors with cross ratio @s. It is shown that P (@t"@s