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Research map / 3D vision / Depth and stereo

A Direct Least-Squares Solution to the PnP Problem With Unknown Focal Length

CVPR 2016 · 3D vision › Depth and stereo · approach: Camera model and calibration for SfM · 27 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Build the least-squares objective directly from the imaging equation so all correspondences contribute equallyDLSPnPf · Synthetic PnPfrotation, translation, and focal-length errorHelped
Use a noniterative solution instead of iterative refinementDLSPnPf versus UPnPf+GN and GPnPf+GN · Synthetic PnPf, including near-planar and planar configurationsestimation accuracyHelped
Use the direct least-squares solver rather than the minimal 4-point solversPnPf · Minimal 4-point caserotation and focal-length errorHelped
Use the Grӧbner basis solver instead of the polynomial eigenvalue solverDLSPnPf · Synthetic numerical-precision testsfocal-length relative errorHurt
Use the Grӧbner basis solver instead of the polynomial eigenvalue solverDLSPnPf · Synthetic runtime testsrunning timeHelped
Increase the number of 3D-to-2D correspondencesPnPf estimation · Synthetic nonplanar, near-planar, and planar point configurationsrotation, translation, and focal-length errorHelped

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