Matlab/Scipy

http://www.aria.uklinux.net/nurbs.php3

Numpy

http://runten.tripod.com/NURBS/

Functions

The functions currently available in the toolbox are:

Main functions

• nrbmak - Construct a NURBS from control points and knots.
• nrbtform - Applying scaling, translation or rotation operators.
• nrbkntins - Knot insertion/refinement.
• nrbdegelev - Degree elevation.
• nrbderiv - NURBS representation of the derivative.
• nrbdeval - Evaluation of the NURBS derivative.
• nrbkntmult - Find the multiplicity of a knot vector.
• nrbreverse - Reverse evaluation direction of the NURBS.
• nrbtransp - Swap U and V for NURBS surface.
• nrbline - Construct a straight line.
• nrbcirc - Construct a circular arc.
• nrbrect - Construct a rectangle.
• nrb4surf - Surface defined by 4 corner points.
• nrbeval - Evaluation of NURBS curve or surface.
• nrbextrude - Extrude a NURBS curve along a vector.
• nrbrevolve - Construct surface by revolving a profile.
• nrbruled - Ruled surface between two NURBS curves.
• nrbcoons - Construct Coons bilinearly blended surface patch.
• nrbplot - Plot NURBS curve or surface.

Low level functions - c routines

• bspeval - Evaluate a univariate B-Spline.
• bspderiv - B-Spline representation of the derivative
• bspkntins - Insert a knot or knots into a univariate B-Spline.
• bspdegelev - Degree elevation of a univariate B-Spline.

Vector and Transformation Utilities

• vecnorm - Normalisation of Vectors.
• vecmag - Magnitude of Vectors.
• vecmag2 - Squared Magnitude of the vectors.
• vecangle - Alternative to atan2 (0 <= angle <= 2*pi).
• vecdot - Dot product of two vectors.
• veccross - Cross product of two vectors.
• vecrotx - Rotation matrix around the x-axis.
• vecroty - Rotation matrix around the y-axis.
• vecrotz - Rotation matrix around the z-axis.
• vecscale - Scaling matrix.
• vectrans - Translation matrix.

Misc Utilities

• deg2rad - Convert degrees to radians.
• rad2deg - Convert radians to degrees.