smooth_funct_1d_gauss — ONED function op

Data kinds: signalsignal

Call: import fullseye as fs; fs.ledger.smooth_funct_1d_gauss(y, sigma: 'float' = 1.0) (to call the implementation directly, import funct1d; funct1d.smooth_funct_1d_gauss(y, sigma: 'float' = 1.0); from the registry, ops1d.get("smooth_funct_1d_gauss"))

Usage

Gaussian smoothing of a 1-D function (HALCON `smooth_funct_1d_gauss`).

Convolves *y* with a Gaussian of standard deviation *sigma* (in samples),

`reflect` boundary handling (scipy default). The DC level is preserved;

zero-mean noise variance shrinks by roughly `1 / (2 * sigma * sqrt(pi))`.

:param y: 1-D function, at least 1 sample.

:param sigma: Gaussian standard deviation in samples; must be finite and > 0.

:returns: smoothed float64 array, same length as *y*.

:raises ValueError: non-1-D / NaN / Inf input, empty input, or `sigma <= 0`.

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)

poc_fiber_orientationpy -3.11 examples/poc_fiber_orientation.py

poc_tree_ring_dendropy -3.11 examples/poc_tree_ring_dendro.py

poc_web_roll_periodicitypy -3.11 examples/poc_web_roll_periodicity.py

signal_funct1dpy -3.11 examples/signal_funct1d.py

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

create_funct_1d_array · create_funct_1d_pairs · smooth_funct_1d_mean · derivate_funct_1d · integrate_funct_1d · zero_crossings_funct_1d · local_min_max_funct_1d · abs_funct_1d

Same category (function)

create_funct_1d_array · create_funct_1d_pairs · smooth_funct_1d_mean · derivate_funct_1d · integrate_funct_1d · zero_crossings_funct_1d · local_min_max_funct_1d · abs_funct_1d


*Provenance: funct1d.py — ONED 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.