arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1702.03023cs.CV
收藏

A New Rank Constraint on Multi-view Fundamental Matrices, and its Application to Camera Location Recovery

University of Maryland, College Park(马里兰大学帕克分校);Weizmann Institute of Science(魏茨曼科学研究学院);Princeton University(普林斯顿大学)

Soumyadip Sengupta, Tal Amir, Meirav Galun, Tom Goldstein, David W. Jacobs, Amit Singer, Ronen Basri

英文摘要:

Accurate estimation of camera matrices is an important step in structure from motion algorithms. In this paper we introduce a novel rank constraint on collections of fundamental matrices in multi-view settings. We show that in general, with the selection of proper scale factors, a matrix formed by stacking fundamental matrices between pairs of images has rank 6. Moreover, this matrix forms the symmetric part of a rank 3 matrix whose factors relate directly to the corresponding camera matrices. We use this new characterization to produce better estimations of fundamental matrices by optimizing an L1-cost function using Iterative Re-weighted Least Squares and Alternate Direction Method of Multiplier. We further show that this procedure can improve the recovery of camera locations, particularly in multi-view settings in which fewer images are available.

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。

↑