deformation op• 資料種類:image → image
• 呼叫:fullseye.apply(img, "deform_tps", 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])
基於 5x5 控制網格的薄板樣條(thin-plate spline)扭曲(Bookstein,TPAMI 1989)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
The 3x3 interior control points are displaced by the deterministic smooth
field `d = amp * [sin(2 pi f gx), cos(2 pi f gy)]` (gy, gx = the control
point's normalised coordinates), the 16 border control points are pinned so
the frame stays anchored. The backward map is the TPS interpolant fitted
from the *displaced* control points back to the original ones -- the unique
minimum-bending-energy interpolant, i.e. the surface a thin metal plate
would take -- and it is evaluated at every destination pixel before bilinear
resampling. `a sets the amplitude amp = 0.15*a*min(H,W), b` the
spatial frequency `f = 0.5 + 1.5b. a = 0` leaves the control points
where they are, so the solved map is 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.