Reproduce “The Double Sphere Camera Model” on OpenResearch

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About this paper

Vladyslav Usenko, Nikolaus Demmel, Daniel Cremers

The Double Sphere camera model offers a compact way to represent fisheye imagery with fields of view up to about 195°. Across six camera/lens configurations, its six-parameter formulation achieves reprojection errors within 1% of the best-performing eight-parameter Kannala–Brandt model while providing closed-form unprojection and substantially lower computational cost.

Key insights

  • Adding a second sphere gives the model considerably more flexibility than the Unified Camera Model without the higher-order polynomial structure of Kannala–Brandt models.
  • The model preserves nearly polynomial-level fitting accuracy while keeping inverse projection explicit, making it suitable for repeated computations in real-time estimation pipelines.
  • A reparameterized UCM using a bounded alpha parameter reduces intrinsic-parameter coupling and produces more stable estimates across repeated calibration sequences.

Summary by alphaXiv.

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