Foregery 发表于 2025-3-28 17:15:17
http://reply.papertrans.cn/48/4727/472678/472678_41.pngmechanical 发表于 2025-3-28 19:35:21
,Λ-Spline Curves With Range Dimension ,nctions which map.to ., such that no two functions in Λ are identical on [. ., . .]. Given the real values . ≤ . ≤ … ≤ ., the parametric function .(.) defined on the interval [., .] is called a Λ- . ., .,…, . if .(.) = .(. − .−1) for . ≤ . ≤ . and 1 ≤ . ≤ . − 1, where each function . is a function iliposuction 发表于 2025-3-29 02:47:04
http://reply.papertrans.cn/48/4727/472678/472678_43.png召集 发表于 2025-3-29 05:33:42
http://reply.papertrans.cn/48/4727/472678/472678_44.png镇痛剂 发表于 2025-3-29 09:11:21
Smoothing Splines,rom the graph of some unknown function . : . → . such that . = .(.) + ∈. for . = 1,… , .. If the form of the function . were known, except for some unknown parameter values, we could then determine those values by the least squares method, where the desired parameter values are those parameter value刻苦读书 发表于 2025-3-29 12:46:31
Geometrically Continuous Cubic Splines,try and exit tangent vectors at each point ., where each pair may have differing magnitudes, but the same direction. It is common to call a tangent vector geometrically continuous curve a . curve, in the same way that a tangent vector algebraically continuous curve is commonly called a . curve. A .动物 发表于 2025-3-29 17:17:54
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.暴露他抗议 发表于 2025-3-29 22:18:06
Rational Cubic Splines,c polynomial cannot represent other conic section curves such as a circular arc, an elliptic arc, or a segment of an hyperbola. It is an interesting fact, however, that an elliptic or hyperbolic arc in . can be parametrically represented by three component functions .(.), .(.), and .(.), where each干涉 发表于 2025-3-30 01:39:46
http://reply.papertrans.cn/48/4727/472678/472678_49.pngOffbeat 发表于 2025-3-30 04:09:15
Tensor Product Surface Splines,ic surface splines analogous to the cubic space curve splines that we studied above. Again we want to construct spline surfaces that contain given points in 3-space, and, generally, that have specified directional derivatives or directional tangent vectors at these given interpolation points.