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Autonomous multi-angle capture

Where in a camera ring should the sentinel go when the subject faces a favourite direction?

research/capture-sentinel

Where in a camera ring should the sentinel go when the subject faces a favourite direction? A sentinel facing the favourite direction misses 8.6% of moments against 34.4% for the one behind; spread cameras' misses are anti-correlated, so capture-wake's independence assumption overstates the all-miss rate by 2x on a ring of 4 and understates it 12x for a tight cluster. With the turned-face miss measured in capture-detectors (54 faces) in place of the assumed curve, placement matters only if the back of a head goes undetected (untested), and weak detectors miss 8 to 45% of moments even with four cameras listening.

13 tests

What it found

A model with assumed detector figures (a miss rate of 3% when the subject faces the camera, 40% when facing away) and a subject whose facing at each moment is von Mises distributed around a favourite direction. In a four-camera ring with concentration κ = 2, the sentinel at the favourite direction misses 8.6% of moments, the one behind the subject 34.4%, and a rotating sentinel 21.5%; the closed form matches a 40,000-moment simulation to within 0.4 points. Misses across a spread ring are negatively correlated (a subject turned from one camera faces another), so assuming independent misses, as capture-wake did, overstates the chance that every detector misses by about 2× on a ring of four; for a tight cluster of cameras the correlation is positive and the independent figure understates it about 12×. A second part replaces the assumed cosine curve with the miss measured on 54 faces in capture-detectors (YuNet at 0.6: 3% near-frontal, 5% turned; YuNet at 0.9: 46% and 84%; frontal Haar cascade: 34% and 84%): placement then matters only if the back of a head goes undetected, which is untested (best 6–7% against worst 81% for YuNet at 0.6 if so, 3–4% against 5% if not), and for a weak detector the four-camera any-of miss is 0.08–0.45 rather than 0.0007. The cosine curve and the 54-face sample (a detector’s own detections, a landmark proxy for turn) are the limits. Stylised: the cosine figures are assumed; the step figures are measured on 54 faces.

A figure from its own output

Figure produced by research/capture-sentinel: miss
capture-sentinel/experiments/miss.svg, written by the project's own experiment code.

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.