Checking if Point Lies on Nurbs Surface

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Discussion Overview

The discussion centers around the question of how to determine if a given point lies on a NURBS (Non-Uniform Rational B-Splines) surface. The scope includes theoretical understanding and practical application of NURBS surface representation.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant inquires about methods to check if a point lies on a NURBS surface.
  • Another participant suggests that it is possible but may require significant effort, as a NURBS surface consists of multiple patches with rational function descriptions.
  • A further inquiry asks for a detailed explanation of the process involved in checking if a point lies on the surface.
  • Another participant requests clarification on the understanding of NURBS surface representation, specifically the form of the equations that describe the surface.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the specific methods to determine if a point lies on a NURBS surface, and multiple viewpoints on the complexity of the task are presented.

Contextual Notes

Participants express varying levels of familiarity with NURBS surfaces, indicating that assumptions about prior knowledge may affect the discussion.

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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