NURBS Toolbox by D.M. Spink

NURBS Toolbox by D.M. Spink re-uploaded. The previous link has broken.

Description

NURBS Toolbox official site is
http://www.aria.uklinux.net/nurbs.php3

% NURBS Toolbox.
% Version 1.0
%
% demos - NURBS demonstrations
%
% 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 multiplilicity 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 - Evalution of NURBS curve or surface.
% nrbextrude - Extrude a NURBS curve along a vector.
% nrbrevolve - Construct surface by revolving a profile.
% nrbruled - Ruled surface between twp NURBS curves.
% nrbcoons - Construct Coons bilinearly blended surface patch.
% nrbplot - Plot NURBS curve or surface.
%
% 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.
%
% vecnorm - Normalise the vectors.
% vecmag - Magnitaude of the 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.
%
% deg2rad - Convert degrees to radians.
% rad2deg - Convert radians to degrees.

• MATLAB release: MATLAB 7 (R14)

[Oliver]

Very useful toolbox, thank you very much! Also very well commented and good examples.

[Evgeny Pr]

Hello!
Where can I get C-implementation of this toolbox?

[Evgeny Pr]

UPD:
http://www.phys.au.dk/~jvn/MatLab.htm

[GAURAV]

I have a set of points say 300 something following the outline of cerebral aneurysm. I want to smooth this curve using the NURBS tool box provided here. How do i use this ? Where do I give my input? I just need a Bspline fitting to the data I have i.e. effectively to smooth the outline of the trace I have. Help me out..
Thanks!

[csg Chen]

This toolbox is very useful. It can improve many problems in my applications. However, it seems some small bugs when I evaluate the derivative of nurbs curves/surfaces.
In the file "nrbderiv ":
  this file call the function "bspderiv". If the weights of the original nurbs curve/surface are equal ( example: the weight = 1 at each vertex ), this weights of nurbs curve/surface vanish after call bspderiv in file nrbderiv.
Maybe, we should revise the file "nrbderiv" before calling the function "bspderiv" to preserve the original weights.

[csg Chen]

 

[Li]

 

[Daniel Lopes]

There are bugs that make this toolbox uncompatible with the Nurbs2IGES
(http://www.mathworks.com/matlabcentral/fileexchange/12087-nurbs2iges).