arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.07197cs.CVmath.AG
收藏

Existence of Two View Chiral Reconstructions

University of Washington(华盛顿大学);Universität Leipzig(莱比锡大学)

Andrew Pryhuber, Rainer Sinn, Rekha R. Thomas

英文摘要:

A fundamental question in computer vision is whether a set of point pairs is the image of a scene that lies in front of two cameras. Such a scene and the cameras together are known as a chiral reconstruction of the point pairs. In this paper we provide a complete classification of k point pairs for which a chiral reconstruction exists. The existence of chiral reconstructions is equivalent to the non-emptiness of certain semialgebraic sets. For up to three point pairs, we prove that a chiral reconstruction always exists while the set of five or more point pairs that do not have a chiral reconstruction is Zariski-dense. We show that for five generic point pairs, the chiral region is bounded by line segments in a Schläfli double six on a cubic surface with 27 real lines. Four point pairs have a chiral reconstruction unless they belong to two non-generic combinatorial types, in which case they may or may not.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑