Checking if Point Lies on Nurbs Surface

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To determine if a point lies on a NURBS surface, one must check if the point satisfies the rational function description of any of the surface's patches, considering their limits. This process can be complex and requires an understanding of how NURBS surfaces are mathematically represented. A solid grasp of the equations describing the surface is essential for accurate evaluation. It is recommended to research NURBS for a better understanding of their structure and properties. Gaining this knowledge will facilitate the process of checking point inclusion on a NURBS surface.
sundar0206
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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
 
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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.
 
How is this done actually? Sorry I am not too well versed so can you please explain

Regards
 
sundar0206 said:
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.
 
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