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arXiv · 2309.04028

Algebra and Geometry of Camera Resectioning

Erin Connelly·Timothy Duff·Jessie Loucks-Tavitas
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Abstract

We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties' multigraded vanishing ideals using Gr\"obner basis techniques. As an application, we derive and re-interpret celebrated results in geometric computer vision related to camera-point duality. We also clarify some relationships between the classical problems of optimal resectioning and triangulation, state a conjectural formula for the Euclidean distance degree of the resectioning variety, and discuss how this conjecture relates to the recently-resolved multiview conjecture.

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Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas. 2023-09-07. Algebra and Geometry of Camera Resectioning. https://arxiv.org/abs/2309.04028

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