BSplineSurface

• BSplineSurface can be used in Graphics3D (three-dimensional graphics).

• The positions of control points can be specified either in ordinary coordinates as {x, y, z}, or in scaled coordinates as Scaled[{x, y, z}].

• The following options can be given:

• By default, BSplineSurface uses bicubic splines, corresponding to degree .

• The option SplineDegree->d specifies maximal degree d in each direction. SplineDegree->{d₁, d₂} specifies different maximal degrees in the two directions within the surface.

• By default, knots are chosen to be uniform and to make the surface reach the control points at the edges of the array.

• SplineKnots->{list₁, list₂} specifies sequences of knots to use for the rows and columns of the array of control points.

• 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.

• SplineWeights are automatically chosen to be 1, corresponding to a polynomial B-spline surface.

• FaceForm and EdgeForm can be used to specify how the interiors and boundaries of BSplineSurface objects should be rendered.

• You can use graphics directives such as GrayLevel, RGBColor and Opacity to specify how BSplineSurface objects should be rendered.

• You can specify surface material properties using the graphics directives Specularity and Opacity.

• You can use FaceForm[front, back] to specify different properties for front and back faces.

• Individual coordinates and lists of coordinates in BSplineSurface can be Dynamic objects.