conv_gci — CONVERGE verification op

• 資料種類:無 → table(僅由參數決定的運算子 —— 不接受影像或資料輸入)

• 呼叫: import fullseye as fs; fs.ledger.conv_gci(phi=None, h=None, r=None, n_cells=None, dim=None, safety_factor=1.25) -> 'dict'(要直接呼叫實作,import converge; converge.conv_gci(phi=None, h=None, r=None, n_cells=None, dim=None, safety_factor=1.25) -> 'dict';從台帳取用則 opsconverge.get("conv_gci"))

用法

最細解的網格收斂指標 GCI:Celik 等 2008 的程序(式 1–7)。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

Takes the same inputs as conv_observed_order (three solutions, finest first, and the refinement) and returns, with p from eq. (3):

phi_ext21 = (r21^p phi1 - phi2) / (r21^p - 1) (4) (and phi_ext32)

e_a21 = |(phi1 - phi2) / phi1| (5)

e_ext21 = |(phi_ext12 - phi1) / phi_ext12| (6)

GCI_fine21 = 1.25 e_a21 / (r21^p - 1) (7)

(safety_factor = 1.25 as in eq. (7)). Fractions and percentages are both returned, and report reads "phi1 +- GCI". Note what the GCI is not: it bounds the discretization error of the fine solution only — "this does not account for modeling errors" (Celik).

Refusal as in conv_observed_order, plus phi1 = 0 or phi_ext = 0 (relative errors undefined). Defaults: Celik Table 1, first column (GCI 2.2 %).

詳細使用指南

• convergent_computation 族使用指南

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。

• 演算法的正典(作者、年份)與用途見上面的族使用指南。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• converge_tour — py -3.11 examples/converge_tour.py

型別可銜接的下一個運算子(可接受 table 作為輸入)

—

同類別(verification)

conv_observed_order


*Provenance: converge.py — CONVERGE 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.