tb_integrate_funct_1d — 2D typed op

Data kinds: signalsignal

Call: fullseye.apply(img, "tb_integrate_funct_1d", a=0.5, b=0.5) (the 2-D model is one image plus two scalar knobs a,b∈[0,1])

*No figure: this op takes signal as input. A Studio program starting from an image cannot reach that type — see the runnable examples below for how it is used.*

Usage

Cumulative integral by the trapezoidal rule (HALCON `integrate_funct_1d`).

`out[i]` is the integral of *y* from x=0 to x=i in **y-units times

samples** (multiply by the physical sample spacing `dt` yourself);

`out[0]` is always 0. For smooth signals

`integrate_funct_1d(derivate_funct_1d(y)) ~= y - y[0]` to second order.

:param y: 1-D function, at least 1 sample (a single sample integrates to `[0.]`).

:returns: float64 array of the same length.

:raises ValueError: non-1-D / NaN / Inf input, or empty input.

Typed bridge of the 1d op `integrate_funct_1d into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. This op has no tunable parameter; a and b` are unused.

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.

Runnable examples (verified samples that actually call this op)

• (none yet)

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

identity · tb_create_funct_1d_array · tb_smooth_funct_1d_gauss · tb_smooth_funct_1d_mean · tb_derivate_funct_1d · tb_zero_crossings_funct_1d · tb_abs_funct_1d · tb_negate_funct_1d

Same category (typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_angle_3points · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal


*Provenance: ops.py — 2D 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.