hearken 发表于 2025-3-21 19:19:57
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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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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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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.