deformation op• 資料種類:image → image
• 呼叫:fullseye.apply(img, "deform_mls", 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])
移動最小平方(moving-least-squares)影像變形,仿射變體(Schaefer 2006)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
A 5x5 grid of control points `p_i` is displaced to
`q_i = p_i + amp*[sin(2 pi gx), cos(2 pi gy)]` (gy, gx = normalised
control coordinates). For every destination pixel the weighted
least-squares affine map is re-solved with the weights
`w_i = 1/|p_i - v|^(2 alpha)`, so the warp is a *different* affine at every
pixel -- smooth, interpolating at the control points, and exact on affine
data. The backward map is obtained by solving the same MLS problem with the
roles of `p and q` swapped (the resampling formulation of the paper's
section 4), which is the exact inverse whenever the control data is affine
and a smooth approximation of it otherwise. `a` sets the amplitude
`amp = 0.12*a*min(H,W), b the falloff alpha = 0.5 + 1.5b` (large
alpha = tightly local deformation). `a = 0 gives q = p`, hence the
identity (up to sub-pixel resampling error).
• 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。
• gallery2d_geometry — py -3.11 examples/gallery2d_geometry.py
image 作為輸入)identity · gaussian · mean_box · bilateral · unsharp · median · min_filter · max_filter
deformation)*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.