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Semidefinite Relaxations for Robust Multiview Triangulation

CVPR 2023 · Learning theory and algorithms › Prediction and decision losses · approach: Determinantal point process inference · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use fractional reprojection constraints instead of epipolar constraintsRobust multiview triangulation · Simulated experiments across noise and outlier levelstight relaxation rate: 99.92% across all experimentsHelped
Use epipolar constraints rather than fractional reprojection constraintsRobust multiview triangulation · Low-noise simulated cases, 7 views and 3 outlierstight relaxation rate: more than 90% when the noise is below σ≈40pxMixed
Use fractional reprojection constraints rather than epipolar constraintsRobust multiview triangulation · Simulated experimentscomputation timeHurt
Use the robust relaxation with rounded-solution refinement instead of RANSACTriangulation with 25 views · Simulated experiments, non-tight casescases with lower robust cost: 32 relaxation better, 58 same solution, 29 RANSAC betterMixed
Use the robust relaxation with rounded-solution refinement instead of RANSACTriangulation with 30 views · Simulated experiments, non-tight casescases with lower robust cost: 31 relaxation better, 84 same solution, 43 RANSAC betterMixed

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