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Closed-form Solutions and Degenerate Cases for Camera Calibration with One-Dimensional Objects

Pär Hammarstedt 1 Peter Sturm 2 Anders Heyden 1
2 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : Camera calibration with one-dimensional objects is based on an algebraic constraint on the image of the absolute conic. We give an alternative derivation to this constraint, allowing a geometrical interpretation. From this, we derive the degenerate cases, or critical motions, where the calibration algorithm fails. We also show that constraints on the intrinsic parameters lead to simplified closed-form solutions and a reduced set of critical motions. A simulation and a real data experiment is performed to evaluate the accuracy of the calibration result for motions close to being critical.
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Pär Hammarstedt, Peter Sturm, Anders Heyden. Closed-form Solutions and Degenerate Cases for Camera Calibration with One-Dimensional Objects. 10th International Conference on Computer Vision (ICCV '05), Oct 2005, Beijing, China. pp.317-324, ⟨10.1109/ICCV.2005.68⟩. ⟨inria-00524397⟩

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