三个仿射视图的张量

Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149) Pub Date : 1999-06-23 DOI:10.1109/CVPR.1999.786977

T. Thórhallsson, D. W. Murray

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引用次数: 22

摘要

在本文中，我们将射影单焦、双焦和三焦张量专门用于仿射情况，并说明所得到的张量如何与先前工作中遇到的注册张量相关联。这使我们能够获得已知射影关系的仿射专门化，这些关系将点和线连接在两个或三个视图上。在仿射相机的简单情况下，我们给出了三焦张量分量的必要和充分的约束，并给出了简单的几何解释。最后，我们展示了如何通过因式分解实现从点对应的张量估计，并讨论了从线对应的张量估计。

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The tensors of three affine views

In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the affine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. This enables us to obtain an affine specialization of known projective relations connecting points and lines across two or three views. In the simpler case of affine cameras we give neccessary and sufficient constraints on the components of the trifocal tensor together with a simple geometric interpretation. Finally, we show how the estimation of the tensors from point correspondences is achieved through factorization, and discuss the estimation from line correspondences.

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Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149)

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