An Atlas for the Pinhole Camera

被引：1

作者：

Agarwal, Sameer ^{[1
]}

Duff, Timothy ^{[2
]}

Lieblich, Max ^{[2
]}

Thomas, Rekha R. ^{[2
]}

机构：

[1] Google Inc, Seattle, WA USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | 2024年 / 24卷 / 01期

基金：

美国国家科学基金会;

关键词：

Computer vision; Multiview ideal; Groebner basis; Vanishing ideal; Multiview geometry; PROJECTIVE RECONSTRUCTION; MOTION; POINTS; LINES; IDEAL;

D O I：

10.1007/s10208-022-09592-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：227 / 277

页数：51

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