hearken 发表于 2025-3-21 19:19:57

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欺骗手段 发表于 2025-3-21 21:30:54

Quadratic Space Curve Based Cubic Splines,Show that a quadratic space curve .(.) = . + . + . is a planar curve, and thus prove that a cubic is the lowest degree polynomial space curve which has non-zero torsion.

乱砍 发表于 2025-3-22 00:33:58

https://doi.org/10.1007/978-1-4612-1320-8Approximation; Approximation theory; Splines; algorithms; architecture; computer graphics; computer-aided

光滑 发表于 2025-3-22 05:08:44

Gary D. KnottIncludes supplementary material:

哺乳动物 发表于 2025-3-22 11:33:20

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Aggregate 发表于 2025-3-22 12:59:50

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使腐烂 发表于 2025-3-22 18:48:01

Function and Space Curve Interpolation, .,…,. . in . or ., perhaps along given associated directions ., .,…, . ., with |.| ≠ 0 for . = 1, 2,…, .. Indeed, we could elaborate the interpretation of the direction vectors, .…, ., so that . = 0 would be taken to specify a sharp corner or . at ..

cushion 发表于 2025-3-22 21:53:17

2D-Function Interpolation, that of 2D-functional interpolation: given points of the graph of an otherwise unknown 2D-function ., we are interested in constructing another 2D-function which interpolates the given points and which serves as an estimate of the function . .

黑豹 发表于 2025-3-23 02:53:30

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bypass 发表于 2025-3-23 06:10:28

Cubic Spline Vector Space Basis Functions,φ. where α.,… , α. ∈ .. For the case of a vector space of cubic spline functions, some basis sets can be developed by focusing on a representation of the cubic polynomial spline segments as component-wise linear combinations of fixed functions.
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查看完整版本: Titlebook: Interpolating Cubic Splines; Gary D. Knott Book 2000 Springer Science+Business Media New York 2000 Approximation.Approximation theory.Spli