Algebra and Geometry of Camera Resectioning
Erin Connelly Timothy Duff Jessie Loucks-Tavitas
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.