Titlebook: Interpolating Cubic Splines; Gary D. Knott Book 2000 Springer Science+Business Media New York 2000 Approximation.Approximation theory.Spli

Foregery

mechanical

,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 i

liposuction

召集

鎮(zhèn)痛劑

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

刻苦讀書(shū)

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 .

動(dòng)物

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.

暴露他抗議

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

Offbeat

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.