An Atlas for the Pinhole Camera
This provides a foundational framework for researchers in computer vision, though it appears incremental as it builds on existing algebro-geometric concepts.
The authors introduced an atlas of algebro-geometric objects to unify the study of 3D computer vision problems, specifically characterizing part of it related to triangulation.
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.