论文标题

针孔相机的地图集

An Atlas for the Pinhole Camera

论文作者

Agarwal, Sameer, Duff, Timothy, Lieblich, Max, Thomas, Rekha

论文摘要

我们引入了与针孔相机中图像形成相关的代数几何对象的地图集。地图集的节点是代数品种或它们通过投影,消除,限制或专业化相互关联的消失理想。该地图集为研究3D计算机视觉中的问题提供了一个统一的框架。我们通过完全表征来自三角剖分问题的部分地图集来启动地图集的研究。我们以几个空旷的问题和地图集的概括结束。

We introduce an atlas of algebro-geometric objects associated with image formation in pinhole cameras. The nodes of the atlas are algebraic varieties or their vanishing ideals related to each other by projection or elimination and restriction or specialization respectively. This atlas offers a unifying framework for the study of problems in 3D computer vision. We initiate the study of the atlas by completely characterizing a part of the atlas stemming from the triangulation problem. We conclude with several open problems and generalizations of the atlas.

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