fly_tau_from_expansion — FLYVISION looming op

データ種: signalsignal

呼び出し: import fullseye as fs; fs.ledger.fly_tau_from_expansion(theta_signal, dt_s, shape='sphere') (実装を直接呼ぶなら import flyvision; flyvision.fly_tau_from_expansion(theta_signal, dt_s, shape='sphere')、台帳から引くなら opsflyvision.get("fly_tau_from_expansion"))

使い方

光学的膨張からの衝突時間(τ マージン)—— 円板と球で式が 33% 違う。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

From the subtended angle and its rate::

shape="disk": tau = sin(theta) / theta'

shape="sphere": tau = 2*tan(theta/2) / theta'

`theta_signal` is the full subtended angle over time, radians.

★ The two object models differ by 33% at a 60-degree subtense (`sin 60 = 0.866`

vs `2 tan 30 = 1.155`); using the wrong one silently mis-times a landing, so

the model is a required, named choice rather than a default guess.

theta_signal: the full subtended angle per sample, radians.

dt_s: the sample interval, seconds.

shape: `"disk" (a frontal circular disk) or "sphere"`.

Returns a 1-D float64 array of the time-to-contact per sample, seconds.

Non-expanding samples (`theta' <= 0) return NaN` — a documented

non-finite, because a contracting or static angle has no time-to-contact and

inventing one would be a plausible-wrong number. (The registry op

`tb_fly_tau_from_expansion` must return a finite signal, so it replaces those

NaN by the signal fallback without recording a fallback event —

`backend_safe.NONFINITE_BY_DESIGN`; call this function directly to keep the NaN.)

Ground truth: for the model's own object geometry (`theta = 2 asin(l/d)` for a

sphere, `theta = 2 atan(l/d) for a disk) approaching at speed |v|`, the

returned tau equals the true distance-over-speed `d/|v|` (pinned in the

tests).

Raises `ValueError`: a non-1-D / empty / too-short (< 3) / non-finite

*theta_signal*, a signal over :data:MAX_SIGNAL_POINTS, a non-positive *dt_s*,

and an unknown *shape*. A non-expanding angle is not an error — it is the

documented `NaN` return above.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

poc_fly_visionpy -3.11 examples/poc_fly_vision.py

型が繋がる次の op(signal を入力に取れる)

fly_emd_response · fly_lgmd_eta · fly_dsi

同カテゴリ(looming)

fly_lgmd_eta


*Provenance: flyvision.py — FLYVISION operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.