NURBS曲线matlab工具箱

NURBS曲线、曲面拟合的matlab工具箱，加载到path中，可以随时调用，对机床的刀具补偿曲线拟合具有十分大的帮助

function N = basisfun（iupU）                 
% BASISFUN  Basis function for B-Spline 
% ------------------------------------------------------------------------- 
% ADAPTATION of BASISFUN from C Routine 
% ------------------------------------------------------------------------- 
% 
% Calling Sequence: 
%  
%   N = basisfun（iupU） 
%    
%    INPUT: 
%    
%      i - knot span  （ from FindSpan（） ） 
%      u - parametric point 
%      p - spline degree 
%      U - knot sequence 
%    
%    OUTPUT: 
%    
%      N - Basis functions vector[p+1] 
%    
%    Algorithm A2.2 from ‘The NURBS BOOK‘ pg70. 
                                                 
                                                  %   void basisfun（int i double u int p double *U double *N） { 
                                                  %   int jr; 
                                                  %   double saved temp; 
i = i + 1; 
                                                  %   // work space 
left = zeros（p+11）;                              %   double *left  = （double*） mxMalloc（（p+1）*sizeof（double））; 
right = zeros（p+11）;                             %   double *right = （double*） mxMalloc（（p+1）*sizeof（double））; 
                                                
N（1） = 1;                                         %   N[0] = 1.0; 
for j=1:p                                         %   for （j = 1; j <= p; j++） { 
    left（j+1） = u - U（i+1-j）;                     %   left[j]  = u - U[i+1-j]; 
    right（j+1） = U（i+j） - u;                      %   right[j] = U[i+j] - u; 
    saved = 0;                                    %   saved = 0.0; 
 
    for r=0:j-1                                   %   for （r = 0; r < j; r++） { 
        temp = N（r+1）/（right（r+2） + left（j-r+1））; %   temp = N[r] / （right[r+1] + left[j-r]）; 
        N（r+1） = saved + right（r+2）*temp;         %   N[r] = saved + right[r+1] * temp; 
        saved = left（j-r+1）*temp;                 %   saved = left[j-r] * temp; 
    end                                           %   } 
 
    N（j+1） = saved;                               %   N[j] = saved; 
end                                               %   } 
   
                                                  %   mxFree（left）; 
                                                  %   mxFree（right）; 
                                                  %   } 

 属性            大小     日期    时间   名称
----------- ---------  ---------- -----  ----

     文件       1331  2010-01-16 08:12  nurbs_toolbox\license.txt

     文件       2430  2010-01-16 22:24  nurbs_toolbox\nurbs_toolbox\basisfun.m

     文件      20521  2010-01-16 22:33  nurbs_toolbox\nurbs_toolbox\bspdegelev.m

     文件       2947  2010-01-16 22:33  nurbs_toolbox\nurbs_toolbox\bspderiv.m

     文件       3314  2010-01-16 22:32  nurbs_toolbox\nurbs_toolbox\bspeval.m

     文件       5698  2010-01-16 22:32  nurbs_toolbox\nurbs_toolbox\bspkntins.m

     文件       2019  2010-01-16 22:32  nurbs_toolbox\nurbs_toolbox\Contents.m

     文件        594  2010-01-16 22:32  nurbs_toolbox\nurbs_toolbox\deg2rad.m

     文件        259  2010-01-16 22:31  nurbs_toolbox\nurbs_toolbox\demo4surf.m

     文件        311  2010-01-16 22:31  nurbs_toolbox\nurbs_toolbox\democirc.m

     文件        966  2010-01-16 22:31  nurbs_toolbox\nurbs_toolbox\democoons.m

     文件        629  2018-03-29 10:43  nurbs_toolbox\nurbs_toolbox\democurve.m

     文件        282  2010-01-16 22:31  nurbs_toolbox\nurbs_toolbox\democylind.m

     文件        526  2010-01-16 22:31  nurbs_toolbox\nurbs_toolbox\demodegelev.m

     文件        770  2018-04-04 22:00  nurbs_toolbox\nurbs_toolbox\demodercrv.m

     文件        857  2010-01-16 22:30  nurbs_toolbox\nurbs_toolbox\demodersrf.m

     文件        404  2010-01-16 22:30  nurbs_toolbox\nurbs_toolbox\demoellip.m

     文件        763  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demogeom.m

     文件        637  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demohelix.m

     文件        577  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demokntins.m

     文件        216  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demoline.m

     文件        245  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demorect.m

     文件        917  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demorevolve.m

     文件        427  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demoruled.m

     文件       1347  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demos.m

     文件        518  2010-01-16 22:40  nurbs_toolbox\nurbs_toolbox\demotorus.m

     文件       2163  2018-03-26 15:25  nurbs_toolbox\nurbs_toolbox\findspan.m

     文件       1374  2010-01-16 22:39  nurbs_toolbox\nurbs_toolbox\nrb4surf.m

     文件       2350  2010-01-16 22:39  nurbs_toolbox\nurbs_toolbox\nrbcirc.m

     文件       4072  2018-03-29 10:23  nurbs_toolbox\nurbs_toolbox\nrbcoons.m

............此处省略35个文件信息