SplineBasis-class {orthogonalsplinebasis} | R Documentation |
Contains the matrix representation for spline basis functions. The OrthongonalSplineBasis class has the basis functions orthogonalized.
Objects can be created by calls of the form SplineBasis(knots, order)
or to generate orthogonal spline basis functions directly OrthogonalSplineBasis(knots, order)
or the short version OBasis(knots,order)
.
knots
:"numeric"
order
:"integer"
Matrices
:"array"
signature(expr = "SplineBasis")
: Computes the derivative of the basis functions. Returns an object of class SplineBasis.signature(x = "SplineBasis")
: gives the dim as the order and number of basis functions. Returns numeric of length 2.signature(object = "SplineBasis", x = "numeric")
: Evaluates the basis functions and the points provided in x. Returns a matrix with length(x)
rows and dim(object)[2]
columns.signature(object = "SplineBasis")
: computes the integral of the basis functions defined by intlimits_{k_0}^x b(t)dt where k_0 is the first knot. Returns an object of class SplineBasis.signature(object = "SplineBasis")
: Takes in a SplinesBasis object, computes the orthogonalization transformation and returns an object of class OrthogonalSplineBasis.signature(x = "SplineBasis", y = "missing")
: Takes an object of class SplineBasis and plots the basis functions for the domain defined by the knots in object.Andrew Redd <aredd at stat.tamu.edu>
General matrix representations for Bsplines KaihuaiQin, The Visual Computer 2000 16:177–186
showClass("SplineBasis") knots<-c(0,0,0,0:5,5,5,5) (base <-SplineBasis(knots)) (obase<-OBasis(knots)) plot(base) plot(obase)