Checking if Point Lies on Nurbs Surface

[sundar0206]

Just had a simple question. but jus wanted to know if it had a simple answer...
Is there any way to know if a given point lies on a nurbs surface .?

Thanks in advance

 

[mathman]

Yes, but it might require a bit of work. A nurbs surface consists of a collection of patches, each of which has a rational function description. You need to check if the point satisfies the description for any patch, taking into account the patch limits.

 

[sundar0206]

How is this done actually? Sorry I am not too well versed so can you please explain

Regards

 

[mathman]

How is this done actually? Sorry I am not too well versed so can you please explain

Regards

To help you I need to know precisely your understanding of how a nurbs surface is represented. In other words what is the form of the equations describing the surface.

I suggest you look up nurbs (via google or bing) to get some idea.