bcurve: nD B-curve governed by (x,y,...) control points.

In bspline: B-Spline Interpolation and Regression

nD B-curve governed by (x,y,...) control points.

Description

nD B-curve governed by (x,y,...) control points.

Usage

bcurve(xy, n = 3)

Arguments

xy	Real matrix of (x,y,...) coordinates, one control point per row.
n	Integer scalar, polynomial order of B-spline (3 by default)

Details

The curve will pass by the first and the last points in 'xy'. The tangents at the first and last points will coincide with the first and last segments of control points. Example of signature is inspired from this blog.

Value

Function of one argument calculating B-curve. The argument is supposed to be in [0, 1] interval.

Examples

  # simulate doctor's signature ;)
  set.seed(71);
  xy=matrix(rnorm(16), ncol=2)
  tp=seq(0,1,len=301)
  doc_signtr=bcurve(xy)
  plot(doc_signtr(tp), t="l", xaxt='n',  yaxt='n', ann=FALSE, frame.plot=FALSE,
      xlim=range(xy[,1]), ylim=range(xy[,2]))
  # see where control points are
  text(xy, labels=seq(nrow(xy)), col=rgb(0, 0, 0, 0.25))
  # join them by segments
  lines(bcurve(xy, n=1)(tp), col=rgb(0, 0, 1, 0.25))
  
  # randomly curved wire in 3D space
## Not run: 
  if (requireNamespace("rgl", quietly=TRUE)) {
     xyz=matrix(rnorm(24),ncol=3)
     tp=seq(0,1,len=201)
     curv3d=bcurve(xyz)
     rgl::plot3d(curv3d(tp), t="l", decorate=FALSE)
  }

## End(Not run)

bspline documentation built on April 4, 2025, 4:54 a.m.