New Geometric Insight on the Trifocal Tensor and its Constraints
نویسندگان
چکیده
The literature is rich with descriptions of the possible multi-view relations and their use in computer vision. Some of them arise from a purely geometric approach, some others are derived in more of an algebraic fashion. In this paper we show that, with a re-definition of the involved objects and some additional geometric tools, we can come to a more intuitive understanding of some of the most traditionally employed tools in computer vision. In particular, by re-defining camera models, incidence relations and duality we provide an alternative geometric interpretation of the tri-linearities, the trifocal tensor and the related constraints.
منابع مشابه
A Geometric Analysis of the Trifocal Tensor
Reconstruction of 3D-objects from a number of images is a central subject of Computer Vision. In this paper we will investigate the geometrical structure of the trifocal tensor using Geometric Algebra. Furthermore, we will give a novel expression for the trifocal tensor, derive constraints on its geometrical structure and investigate its reconstruction ability computationally. We will show that...
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