fullseye

tb_dtof_depth — 2D typed op

tb_dtof_depth: input → output

図は合成の入力 128×128 で実際に走らせた出力。左が入力、右が出力。点群は上から見た散布(明るさ = z)、1-D 列は折れ線、体積は z 方向の最大値投影、動画は中央フレーム、複素画像は振幅、絵にならない返り値は値そのもの。

つまみ a を振る(0.1 / 0.5 / 0.9、もう一方は既定):

tb_dtof_depth: knob a sweep

つまみ b は出力を変えない(実測: 0.1 / 0.5 / 0.9 で同一)。

段階(前置きの op → この op。左から順):

tb_dtof_depth: stages

使い方

Distance from a photon arrival-time histogram: d = c*t/2.

Direct time-of-flight. The light travels to the target and back, so the
one-way distance is **half** the round-trip time times the speed of light.
*bin_ps* is the width of one time bin (a 100 ps bin is 1.50 cm of depth).

Four estimators, from crudest to sharpest:

  * ``"peak"`` — the centre of the fullest bin. Quantised to the bin grid;
    the error is uniform in ``+-half`` a bin (``+-0.75 cm`` at 100 ps).
  * ``"centroid"`` — the first moment of the whole histogram. Exact for a
    symmetric pulse *with no background*, and badly biased toward the middle
    of the window with one — pass ``subtract_background=True``.
  * ``"parabolic"`` — a parabola through the peak bin and its two neighbours.
    Sub-bin, cheap, and biased for a Gaussian pulse.
  * ``"gaussian"`` — the same parabola fitted to the **log** of those three
    samples, which is the exact vertex for a Gaussian pulse.

Measured on a **noiseless** simulated return at 2.4371 m (256 bins x 100 ps,
500 ps IRF), absolute error: ``peak`` 1.29 mm, ``centroid`` 4.4e-16 m,
``parabolic`` 0.067 mm, ``gaussian`` 9.4e-9 m — three orders of magnitude
between the crudest and the sharpest.

With **Poisson noise** (200 signal + 200 ambient photons, seed 0) the same
four give 13.7 mm, 146.5 mm (with ``subtract_background=True``), 8.5 mm and
8.0 mm. Two honest readings of that: once shot noise dominates the sub-bin
estimators buy about 1.6x, not three orders of magnitude, and the centroid
**collapses** because a median-subtracted ambient floor still leaves noise
across the whole window that drags the first moment toward the centre. Use
``"gaussian"`` or ``"parabolic"`` on noisy data; use ``"centroid"`` only when
the background is genuinely gone.

*offset_ps* is a **system delay to remove**: ``t_flight = t_measured -
offset_ps``, so a positive offset makes the answer *closer*. Returns the
distance in metres as a float.

**Raises** ``ValueError``: negative, non-finite, non-1-D or all-zero *hist*,
a non-positive *bin_ps*, an unknown *mode*, a non-finite *offset_ps*, a
**flat** histogram in a peak-based mode (``argmax`` would silently pick bin 0
and report the first bin's depth), a peak in the first or last bin with a
sub-bin *mode* (there is no neighbour to fit to — use ``"peak"``), a
degenerate three-sample fit, and — instead of returning a negative distance —
an *offset_ps* larger than the measured arrival time.

Typed bridge of the photon op dtof_depth into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. a drives bin_ps (default 100); b is unused.

参考(サンプルデータ・文献)

Studio で試す

下のプログラムは実際に走ることを確かめてある(図と同じ入力)。Studio のヘルプではこのブロックがボタンになり、その場で読み込んで実行できる。

img_to_counts 0.50 0.50
tb_dtof_depth 0.50 0.50

実行できる例(この op を実際に呼ぶ検証済みサンプル)

次の例は元の台帳 op dtof_depth を呼ぶもの。この橋渡し op は同じ実装を fn(v, a, b) 規約に合わせただけなので、挙動はそのまま当てはまる(呼び出し形だけ違う)。

型が繋がる次の op(feature を入力に取れる)

identity

同カテゴリ(typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal · tb_voxel_grid_downsample


Provenance: ops.py — 2D 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.