Research map / Learning theory and algorithms / Combinatorial and search optimization
Efficient Intersection of Three Quadrics and Applications in Computer Vision
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace the Bujnak12 solver with the E3Q3-P4Pf formulation and solver | P4Pf · P4Pf | runtime (µs): 185.0 -> 7.1 | Helped |
| Replace the Ventura14 solver with the E3Q3-gsP4P formulation and solver | gsP4P · gsP4P | runtime (µs): 72.0 -> 3.9 | Helped |
| Replace the Kukelova12 solver with the E3Q3-HEC formulation and solver | Hand-eye calibration with known translation · Hand-eye calibration with known translation | runtime (µs): 1812.0 -> 4.2 | Helped |
| Use E3Q3 instead of the Gr"obner-basis solver for 3Q3 | 3Q3 · 3Q3 | operations to obtain final univariate polynomial: ∼11846 -> 1811 | Helped |
| Use the E3Q3-P4Pf solver instead of Bujnak12 | P4Pf · Noise-free synthetic scenes and noisy image projections | focal length estimation accuracy | No clear effect |
| Use the E3Q3-gsP4P solver instead of Ventura14 | gsP4P · General 3D scenes, including planar scenes | translation and scale recovery | Mixed |
| Use the E3Q3-gsP4P solver instead of Ventura14 | gsP4P · Noisy general 3D scenes | rotation, translation, and scale estimation accuracy | Mixed |
| Use the E3Q3-P4Pf solver instead of Bujnak12 | P4Pf · Noise-free synthetic scenes | numerical stability | Helped |
Closest papers by meaning
- Revisiting the P3P Problem (CVPR 2023 · similarity 0.88)
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