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BUILT-IN MATHEMATICA SYMBOL
BSplineCurve
BSplineCurve[{pt1, pt2, ...}]
is a graphics primitive that represents a nonuniform rational B-spline curve with control points 
.
Details and Options
- BSplineCurve can be used in both Graphics and Graphics3D (two- and three-dimensional graphics).
- The positions of control points can be specified either in ordinary coordinates as
or 
, or in scaled coordinates as Scaled[{x, y}] or Scaled[{x, y, z}]. - In two dimensions, Offset and ImageScaled can be used to specify coordinates.
- The following options can be given:
-
SplineDegree Automatic degree of polynomial basis SplineKnots Automatic knot sequence for spline SplineWeights Automatic control point weights SplineClosed False whether to make the spline closed - By default, BSplineCurve uses cubic splines.
- The option setting SplineDegree->d specifies that the underlying polynomial basis should have maximal degree d.
- By default, knots are chosen uniformly in parameter space, with additional knots added so that the curve starts at the first control point and ends at the last one.
- With an explicit setting for SplineKnots, the degree of the polynomial basis is determined from the number of knots specified and the number of control points.
- With the default setting SplineWeights->Automatic, all control points are chosen to have equal weights, corresponding to a polynomial B-spline curve.
- Curve thickness can be specified using Thickness or AbsoluteThickness, as well as Thick and Thin.
- Curve dashing can be specified using Dashing or AbsoluteDashing, as well as Dashed, Dotted, etc.
- Curve shading or coloring can be specified using CMYKColor, GrayLevel, Hue, Opacity, or RGBColor.
- Individual coordinates and lists of coordinates in BSplineCurve can be Dynamic objects.
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