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Research map / 3D vision / Depth and stereo

A New Rank Constraint on Multi-View Fundamental Matrices, and Its Application to Camera Location Recovery

CVPR 2017 · 3D vision › Depth and stereo · approach: Camera model and calibration for SfM · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply the multiview rank constraint with IRLS-ADMM to pairwise essential matricesLUD essential matrix estimates · Real image collections, 50 imagesmedian essential matrix error: 17.69%Helped
Apply the multiview rank constraint with IRLS-ADMM to pairwise essential matricesLUD essential matrix estimates · Real image collections, 150 imagesmedian essential matrix error: 6.68%Helped
Use rank-constrained essential matrix estimates to recover camera locationsLUD camera-location pipeline · Real image collections, 50 imagesmedian camera location error: 19.73%Helped
Use rank-constrained essential matrix estimates to recover camera locationsLUD camera-location pipeline · Real image collections, 150 imagesmedian camera location error: 8.77%Helped
Initialize bundle adjustment with parameters from our method rather than LUDBundle adjustment · Real image collections, 50, 100, and 150 imagesmedian translation error: 11.52%, 3.13% and 5.43%Helped
Recover fundamentals jointly rather than separately averaging rotation and translationGlobal SfM camera geometry estimation · Real image collectionscamera parameter recovery accuracyHelped
Use the proposed multiview rank constraints on fewer imagesOur method · Real image collections, 50 vs. 150 imagesrelative improvement in median essential matrix error over LUD: 17.69%; 6.68%Mixed

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