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Rotation Coordinate Descent for Fast Globally Optimal Rotation Averaging

CVPR 2021 · Optimization › Nonconvex and smooth optimization · approach: Adaptive first-order convex methods · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use RCD instead of Shonanrotation averaging · SfM camera graphs, n=1,800, d_G=0.4runtime [s]: 312.9s -> 1.5sHelped
use RCD instead of Shonanrotation averaging · Orebro Castleruntime [s]: 1.10 -> 26.17Helped
add local optimisation to RCD (ablation)RCD · sphereruntime [s]: 105.70 -> 0.66Helped
add local optimisation to RCD (ablation)RCD · torusruntime [s]: 1808.86 -> 4.86Helped
add local optimisation to RCD (ablation)RCD · grid3Druntime [s]: 1199.30 -> 14.78Helped
add local optimisation to RCD (ablation)RCD · garageruntime [s]: 3.74 -> 0.28Helped
add local optimisation to RCD (ablation)RCD · San Marcoruntime [s]: 1.61 -> 145.46Hurt
use RCD instead of Shonanrotation averaging · San Marcoruntime [s]: 110.07 -> 1.61Helped
use RCD without local optimisation instead of Shonanrotation averaging · torusruntime [s]: 15.76 -> 1808.86Hurt
add local optimisation to RCD (ablation)RCD · real-world SfM datasetsruntime [s]Mixed
increase graph densityRCD relative to Shonan · synthetic camera graphsruntime [s]Helped
use RCD instead of Shonan on very sparse graphsrotation averaging · synthetic camera graphs with d_G < 0.04runtime [s]No clear effect

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