If a twin gives every scene the same inlier fraction, how many RANSAC iterations does it say we need, and is that enough when real scenes vary?
research/ransac-twin
RANSAC iteration budget from a fixed-inlier-fraction twin (17 for 99%) vs scenes with beta-binomial inlier counts: exact failure 1.3–30% at that budget, 99% needs 19–458 iterations or is unreachable for κ≤2; stylised, line fitting only.
What it found
With N = 100 correspondences, minimal sample 2 and 50% mean inliers, the twin's budget for 99% success is 17 iterations. If the real scene inlier count is beta-binomial with concentration κ, the exact failure at 17 iterations is 1.3% (binomial variation only), 7.0% (κ = 10) and 14.1% (κ = 4); restoring 99% takes 19, 58 and 458 iterations, and for κ ≤ 2 no budget exists because scenes with fewer than 2 inliers cannot succeed. Exact values match a sampler, and an end-to-end noisy line fit goes from 0.9% to 12.6% slope failures at κ = 4 (1.8% with the larger budget, still above 1%). Stylised: assumed scene law, line fitting only, no real data.
A figure from its own output
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.