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Sensing, imaging and 3D

Does marginalising old keyframes instead of pinning them fix long-path drift in a visual-inertial smoother, and does IMU grade then matter?

research/sensing-viomarg

A Schur-complement prior in the sensing-vio planar smoother cuts rms drift on 30 s paths from 12.3 % to 2.5 % of path (8 seeds, baseline IMU), and IMU grade then orders the results (0.25x noise 2.1 %, 1x 2.5 %, 4x 6.5 %), unlike with the pinned prior; planar and synthetic, not EuRoC

5 tests

What it found

sensing-vio found that on 12 s paths only camera resolution moved drift, and that its smoother diverged on longer paths because the oldest pose was pinned and old velocity and bias information was forgotten. This project replaces the pin with a Schur-complement prior: after each solve, the oldest keyframe is marginalised out of its prior and the IMU factor to the next keyframe, giving a dense 8-state prior on the next one (checked against a brute-force profile in a test; the dropped keyframe's bearing factors are not marginalised). Same world, sensors and factors, 8 paired seeds, 30 s paths (about 30 m). Pinned prior: rms drift 12.3 ± 5.3 % of path at baseline IMU, 23.6 ± 7.4 % at 0.25× IMU noise, 12.3 ± 5.5 % at 4×, with worst seeds 46 to 63 %. Marginalised: 2.5 ± 0.2 % at baseline (paired ratio 0.32), 2.1 ± 1.2 % at 0.25× (median 0.8 %, one seed at 10 %), 6.5 ± 0.9 % at 4×. So with marginalisation a better IMU helps and a worse one hurts, which the pinned smoother hid. Limits: planar, point landmarks, known association, illustrative noise levels, 8 seeds, solver capped at 15 iterations, one path length, no real dataset. Noise densities are the sensing-vio values (of the order of EuRoC's published figures), not fitted.

Paper, code and results

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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.