tb_stat_covariance — 2D typed op

資料種類:matrixmatrix

呼叫:fullseye.apply(img, "tb_stat_covariance", a=0.5, b=0.5)(2-D 的模型是一張圖 + 兩個純量旋鈕 a,b∈[0,1])

用法

`(N, D) 觀測資料的樣本共變異數矩陣 → (D, D)`。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

Rows are observations, columns are variables — the `(N, D)` orientation

every Fullseye point/sample API uses (note `np.cov` defaults to the

*transposed* convention). Uses the unbiased `ddof=1` estimator (divides

by `N - 1), hence the N >= 2` requirement. The diagonal holds the

per-variable sample variances; the result is symmetric positive

semi-definite by construction, so it can go straight into

:func:mat_eigh for principal axes (the covariance-ellipse workflow).

HALCON: no public tuple/matrix operator — covariance lives inside HALCON's

calibration and matching internals only.

Typed bridge of the math op `stat_covariance 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.

參考(範例資料・文獻)

• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。

• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• (尚無)

型別可銜接的下一個運算子(可接受 matrix 作為輸入)

identity · tb_mat_pinv · tb_mat_cond · tb_stat_correlation

同類別(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 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*

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