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In common motion segmentation and estimation applications, where the exact nature of objects' motions and the camera parameters are not known a priori, the most general motion model (the fundamental matrix) is applied. Although the estimation of a fundamental matrix and its use for motion segmentation are well understood, the conditions governing the feasibility of segmentation for different types...
All high breakdown robust estimators, at their core, include an isolated search in either the data or the parameter space. In this paper, we devise a high breakdown robust estimation technique, called fast least k-th order statistics (FLkOS) that employs the derivatives of order statistics of squared residuals to implement Newton's optimization method for its search. It is mathematically shown that...
Images of a moving object acquired by a static camera typically contain two groups of image correspondences belonging to the object in motion and the static (or nearly static) background. For objects with relatively small motion, there is little distinction between the effect of motion and the background noise. As the type of motion is also not known in advance, the fundamental matrix motion model...
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