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A Robust and Efficient Algorithm for the PnL Problem Using Algebraic Distance to Approximate the Reprojection Distance

AAAI 2019 · Learning theory and algorithms › Combinatorial and search optimization · approach: Globally optimal geometric optimization · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add second-step damped Newton on algebraic distance 2 after the first step (ablation)OAPnL I · real data TFHrotation error (deg): 0.60 -> 0.10Helped
add second-step damped Newton on algebraic distance 2 after the first step (ablation)OAPnL I · real data TFHtranslation error (m): 0.48 -> 0.07Helped
add second-step damped Newton on algebraic distance 2 after the first step (ablation)OAPnL I · real data BBrotation error (deg): 0.18 -> 0.18No clear effect
add second-step damped Newton on algebraic distance 2 after the first step (ablation)OAPnL I · real data MC1translation error (m): 0.01 -> 0.003Helped
replace second algebraic distance step with LM on the exact reprojection cost (ablation)OAPnL II · real data TFHrotation error (deg): 0.10 -> 0.09No clear effect
replace second algebraic distance step with LM on the exact reprojection cost (ablation)OAPnL II · synthetic planar, large noisepose errorMixed
use algebraic distance 2 instead of reprojection LM (ablation)OAPnL · computation timeruntimeHelped
proposed first-step algebraic distance with hidden variable solver vs OPnPLOAPnL I · real data TFHrotation error (deg): 0.42 -> 0.60Hurt

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