Torabi Architect.
Mathcurve Documents Apr 2009
arrowInterval.

Interval rollout
arrowU Limits .

Defines the interval [uMin,uMax].The curve is result of mapping all assuming points from this interval to a 3d dimensional curve.

 Interval [Umin,Umax]

Note : you can access these parameters in global scope with the same name.
arrowResolution.

The Interval [uMIn,uMax] is divided into u-Resolution equal segments from uMin to uMax. Therefore ith knot of the curve will be corresponded to point p of the interval.

Note 1: you can access these parameters in global scope in form of Usegments.
Note2:The U-resolution indicates the number of segments in the S-pline shape. The result contains (uSegments+1) vertices.

 du=(uMax-uMin)/usegments,p=uMin+(i-1)*du

arrowMaximum Lenght.

Defines the maximum distance that any vertex can get from the pivot point. All vertices locate further than this distance will be ignored.

In this example the curve has been timed by the assuming sphere by radius of maximum length.


Those vertices are located outside of this sphere are ignored and the shape object has been divided to three different spline to be encircled by the sphere.

 Maximum length

X(u)=u/(1+u^2),Y(u)=u/(1-u^2),Z(u)=1/u
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