The Joint Image Handbook
The Joint Image Handbook
复制标题
联合图像手册
DOI：
10.1109/iccv.2015.110
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
J. Ponce
中科院分区：
文献类型：
--
作者：
Matthew Trager;M. Hebert;J. Ponce
给定多视角照片，点对应形成“联合图像”，有效地复制了分布在其二维投影上的三维空间。这个集合可以用图像坐标上的多线性方程来表征，比如极和三焦约束。我们在本文中重新审视了联合图像的几何和代数性质，并解决了一些基本问题，如多少和哪些多重线性是必要的和/或充分的，以确定相机几何和/或图像对应。本文中的新理论结果在非常一般的设置中回答了这些问题，反过来，旨在为从业者提供关于多元线性的“手册”参考。
Given multiple perspective photographs, point correspondences form the "joint image", effectively a replica of three dimensional space distributed across its two-dimensional projections. This set can be characterized by multilinear equations over image coordinates, such as epipolar and trifocal constraints. We revisit in this paper the geometric and algebraic properties of the joint image, and address fundamental questions such as how many and which multilinearities are necessary and/or sufficient to determine camera geometry and/or image correspondences. The new theoretical results in this paper answer these questions in a very general setting and, in turn, are intended to serve as a "handbook" reference about multilinearities for practitioners.