"Curve-threading" surface interpolation?
- To: mathgroup at smc.vnet.net
- Subject: [mg118352] "Curve-threading" surface interpolation?
- From: "Christopher O. Young" <cy56 at comcast.net>
- Date: Sat, 23 Apr 2011 07:52:00 -0400 (EDT)
I should add that each of the curves is a function of x. These are simply put in sequence in a 3D view. Each curve lies in a plane, and each one is a function curve; i.e., no doubling back. So I wonder if I would be able to use the Interpolation function here. "I can't get either Bezier surfaces or NURBS (non-uniform rational B-spline surface) surfaces (via BSplineSurface) to go through a set of curves I have. They're a fairly smooth series of curves. I actually spent a long time fitting Bezier curves to a diagram of a sequence of curves. Then I saved all the control points. I made sure that there was as much continuity between the control points from one curve to another. There were 16 control points, providing me with nine different 15 degree Bezier curves. Now the problem is simply to get a reasonably smooth-looking surface that goes through all the points. Maybe stretching a surface across cubic spline curves between isoparametric points along the Bezier curves. Any suggestions greatly appreciated." Chris Young cy56 at comcast.net IntuMath.org