photon_sample — PHOTON counting op

• Data kinds: image2d → image2d

• Call: import fullseye as fs; fs.ledger.photon_sample(image, photons_per_unit=100.0, dark_rate=0.0, seed=0) (to call the implementation directly, import photoncount; photoncount.photon_sample(image, photons_per_unit=100.0, dark_rate=0.0, seed=0); from the registry, opsphoton.get("photon_sample"))

Usage

Poisson-sample an expected-photon image into an actual photon count image.

*image* is a non-negative 2-D map of scene radiance in arbitrary units; lambda = image * photons_per_unit + dark_rate is the expected number of photons in each pixel over the exposure, and the result is one Poisson realisation of it. *dark_rate* is the dark-count contribution (a SPAD counts thermally generated carriers even in the dark) in the same photon units.

Returns the counts themselves as a float64 (H, W) image (integer valued). That is the deliberate difference from backends_aug.aug_shot_noise, which returns Poisson(v*K)/K clipped to [0, 1] for training-data augmentation: every operator downstream here (Fano factor, Anscombe, Coates, dToF) needs N, and the rescale-and-clip is not invertible.

seed is a required non-negative integer and the RNG is numpy.random.default_rng(seed) — same seed, same frame, on any machine.

Ground truth it reproduces (pinned in tests/test_photoncount.py): the sample mean and sample variance both converge to lambda. Measured on a flat lambda = 100 field of 512x512 pixels at seed 0 — mean 99.9796, Fano factor 1.001089, so the photon-limited SNR is sqrt(lambda): 9.9990 predicted from the mean, 9.9935 actually achieved.

Raises ValueError: negative or non-finite *image*, negative *photons_per_unit* / *dark_rate*, a non-integer or negative *seed*, an image

over MAX_IMAGE_ELEMENTS, and — instead of letting numpy fail deep inside the sampler — any lambda over MAX_LAMBDA.

Detailed usage guide

• photon_timeresolved family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• photon_timeresolved — py -3.11 examples/photon_timeresolved.py

• poc_colocalization_crosstalk — py -3.11 examples/poc_colocalization_crosstalk.py

• poc_search_sweep_width — py -3.11 examples/poc_search_sweep_width.py

Ops the type connects to (they accept image2d as input)

photon_statistics · photon_uncertainty · anscombe_transform · anscombe_inverse

Same category (counting)

photon_statistics · photon_uncertainty


*Provenance: photoncount.py — PHOTON operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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