B-spline basis functions
The equation for k-order B-spline with n+1 control points (P0 , P1 , ... , Pn ) is P(t) = ∑i=0,n Ni,k(t) Pi , tk-1 <= t <= tn+1 . In a B-spline each control point is associated with a basis function Ni,k which is given by the recurrence relations (see Bspline.java) Ni,k(t) = Ni,k-1(t) (t - ti)/(ti+k-1 - ti) + Ni+1,k-1(t) (ti+k - t)/(ti+k - ti+1) , Ni,1 = {1 if ti <= t <= ti+1 , 0 othe
Spline interpolation - Wikipedia
This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations. (July 2021) (Learn how and when to remove this message) In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial
Ｂスプラインで折線近似 - スズメレンダラー・クマ将棋の開発日記
折線（黒線）をＢスプライン曲線（赤線）で近似する サンプルプログラムを置きます。 http://g0307.hp.infoseek.co.jp/bspline.zip Ｂスプラインの詳しい定義は以下サイトのように色々なところで 解説されています。 http://markun.cs.shinshu-u.ac.jp/learn/cg/cg5/index2.html ただしこれは制御点を与えて描画するというもので 任意のデータをＢスプラインで近似する制御点を 求めるという類の解説はあまりないと思います。 今回、3次Ｂスプラインでノットが等間隔で近似対象折線が 周期的である場合に簡単にＢスプラインで近似する方法を述べます。 実際使う分には3次・等間隔で十分な場合が多いはずです。 3次周期Ｂスプラインは以下のように、一つの基底関数を 3つの区間に場合分けして定義されます。 任意の曲線を重み付き基底関
B-Spline -- from Wolfram MathWorld
is a B-spline. Specific types include the nonperiodic B-spline (first knots equal 0 and last equal to 1; illustrated above) and uniform B-spline (internal knots are equally spaced). A B-spline with no internal knots is a Bézier curve. A curve is times differentiable at a point where duplicate knot values occur. The knot values determine the extent of the control of the control points. -splines are
interp2d — SciPy v1.14.1 Manual
interp2d# class scipy.interpolate.interp2d(x, y, z, kind='linear', copy=True, bounds_error=False, fill_value=None)[source]# Removed in version 1.14.0: interp2d has been removed in SciPy 1.14.0. For legacy code, nearly bug-for-bug compatible replacements are RectBivariateSpline on regular grids, and bisplrep/bisplev for scattered 2D data. In new code, for regular grids use RegularGridInterpolator i
Interpolation (scipy.interpolate) — SciPy v1.14.1 Manual
Interpolation (scipy.interpolate)# Sub-package for objects used in interpolation. As listed below, this sub-package contains spline functions and classes, 1-D and multidimensional (univariate and multivariate) interpolation classes, Lagrange and Taylor polynomial interpolators, and wrappers for FITPACK and DFITPACK functions. Univariate interpolation#
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Python/Scipy 2D Interpolation (Non-uniform Data)
Lecture Notes | Computational Geometry | Mechanical Engineering | MIT OpenCourseWare
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Hermite補間
Amazon.com: A Practical Guide to Splines: De Boor, Carl: Books
クリギングによる空間補間プログラム ｜ （株）計測リサーチコンサルタント
Scattered Data Interpolation and Approximation using Radial Base Functions
[SciPy-User] Problems with 2D interpolation of data on polar grid-MemoryError-for-more-than-4000-(x%2C-y)-pairs---td22871025.html)
Old Nabble - Scipy-User - scipy.interpolate.Rbf() MemoryError for more than 4000 (x, y) pairs ?
Interpolation (scipy.interpolate) — SciPy v0.8 Reference Guide (DRAFT)
http://docs.scipy.org/doc/scipy/reference/generated/scipy.ndimage.morphology.grey_dilation.html
Rbf — SciPy v1.14.1 Manual
griddata — SciPy v1.14.1 Manual
bisplrep — SciPy v1.14.1 Manual