deformation op• 数据种类:image → image
• 调用:fullseye.apply(img, "deform_ffd", a=0.5, b=0.5)(2-D 的模型是一张图 + 两个标量旋钮 a,b∈[0,1])
三次 B 样条自由变形(free-form deformation,Rueckert 等,IEEE TMI 1999)。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
A coarse control lattice of `n x n spans (n = 2 + int(6b)`, one padding
ring on each side) carries a deterministic smooth displacement pattern
`phi[i,j] = amp * [sin(2 pi j/n), cos(2 pi i/n)]`; the dense displacement
at a pixel is the tensor product of the four uniform cubic B-spline basis
functions of its span coordinate with the surrounding 4x4 control
displacements, so a control point only ever moves the 4 spans it supports.
That field is used as the backward map and the image is bilinearly resampled.
`a sets the amplitude amp = 0.45*a*min(sy,sx)` -- kept under the
`0.48*spacing` injectivity bound of Choi & Lee (2000), so the deformation
stays a fold-free bijection -- and `b the lattice resolution. a = 0`
gives a zero lattice, hence the identity (up to sub-pixel resampling error).
• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。
• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。
• 算法的正典(作者・年份)与用途见上面的族使用指南。
• gallery2d_geometry — py -3.11 examples/gallery2d_geometry.py
image 作为输入)identity · gaussian · mean_box · bilateral · unsharp · median · min_filter · max_filter
deformation)*Provenance: ops.py — 2D 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.