npr op• Data kinds: image2d → image2d
• Call: import fullseye as fs; fs.ledger.halftone_screen(image, lpi=60.0, angle_deg=45.0, pixel_um=25.4, sharpness=8.0) (to call the implementation directly, import printpath; printpath.halftone_screen(image, lpi=60.0, angle_deg=45.0, pixel_um=25.4, sharpness=8.0); from the registry, opsprintpath.get("halftone_screen"))
A classic rotated halftone screen — dots whose area carries the tone.
Thresholds the image against a rotated periodic spot function (the product of
two shifted cosines, the classical round-dot screen). *lpi* is lines per inch
and *pixel_um* the pixel pitch, so the screen frequency in pixels follows the
printing convention rather than a bare "period in pixels".
★Why this earns its place: two screens at different angles beat against
one another, and the period and direction of that moiré are a closed form
(:func:halftone_moire_period) that can be predicted *before* anything is
drawn and then measured out of the image. That is why newspaper printing puts
the plates at 15°/45°/75° — the beat is pushed to a frequency the eye does not
resolve — and this op lets that be shown as numbers, not folklore.
Parameters
----------
image : 2-D array in [0, 1]
Tone; 0 prints solid, 1 prints blank (the ink is `1 - image`).
lpi : float
Screen ruling, lines per inch. Newspapers use 65-85, magazines 133-175.
angle_deg : float
Screen angle. The classical set is K 45°, M 75°, C 15°, Y 0°.
pixel_um : float
Pixel pitch in micrometres (25.4 um = 1000 dpi).
sharpness : float
Edge hardness of the dot; large values give a hard threshold.
Returns an `image2d`: 1 = paper, 0 = ink.
Raises `ValueError`: non-positive lpi, pixel pitch or sharpness; a screen
period below 2 px (it would alias — reported, never silently drawn); a
non-finite or oversized image.
Limits: this is a *screen*, not a printer. Dot gain, ink spread and
registration error are not modelled, so measured ink is the geometric
coverage and will read lighter than a real press.
• 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.
• poc_beats_fringes_and_screens — py -3.11 examples/poc_beats_fringes_and_screens.py
• poc_print_registration — py -3.11 examples/poc_print_registration.py
image2d as input)stipple_points_from_image · stipple_energy · stroke_tone_error · engrave_lines · hatch_field · mosaic_tiles_sites · mosaic_tiles_render · print_layer_defect_map
npr)halftone_moire_period · engrave_lines · hatch_field · mosaic_tiles_sites · mosaic_tiles_render
*Provenance: printpath.py — PRINTPATH 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.