多视图几何中的光滑行列式簇与临界轨迹
Smooth determinantal varieties and critical loci in Multiview Geometry
摘要：
从P^k到P^h的线性投影在计算机视觉中作为动态或分段场景的图像模型出现。给定同一场景的多个投影，识别图像之间足够多的对应关系原则上允许重建投影对象的位置。重建问题的一个临界轨迹是P^k中的一个变量，它包含重建失败的点集。关键位点是决定簇。本文确定并分类了所有光滑临界轨迹，证明它们是经典的射影簇。
英文摘要：
Linear projections from P^k to P^h appear in computer vision as models of images of dynamic or segmented scenes. Given multiple projections of the same scene, the identification of many enough correspondences between the images allows, in principle, to reconstruct the position of the projected objects. A critical locus for the reconstruction problem is a variety in P^k containing the set of points for which the reconstruction fails. Critical loci turn out to be determinantal varieties. In this paper we determine and classify all the smooth critical loci, showing that they are classical projective varieties.
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。
