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?????????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）;?
??????????????????????????????????????????????????%???}?

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????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

............此處省略35個文件信息