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Re: non-stationary scheme for circle construction

Posted by hjb_zy on March 22, 2005 at 17:54:42:

In Reply to: Re: non-stationary scheme for circle construction posted by Scott Schaefer on March 22, 2005 at 15:25:33:

Thanks for your suggestion. I took a quick look at the paper and it was enlightening. Even though I am looking at a somewhat different problem - fitting a subdivision surface to a NURBS-based representation. A subdivision surface allows us to generate displayable LODs incrementally - but I guess what was done in Hoppe's work should be very close to Catmull-clark sudvision surface.

The interpolatary subdivision scheme has its advantages for rendering purposes - the control mesh is a very good low level LOD for example and its fitting can be easier.

Can you send me your master thesis that talks about how to generate an interpolatory subdivision curve to to hjb_zy@hotmail.com? The reproduction of circular shape is an important part of achieving a subdivision surface that gives good approximation to the input shape I have - as circular shapes does appear frequently in mechanical parts which is the application domain I am looking at.

: : The broader subject of fitting a subdivision surface to a general NURBS representation seems to be a hard problem also. While the sharing of the control vertices is the advantage of subdivision surface, it does seem to introduce additional difficulty in the fitting due to the size of the global matrix we have to deal with. There are also some works that use iterative local fitting - for example the work by Suzuki and the quasi-interplation method by Nathan Litke. Can you also provide some insight here - it seems that with the special rules for sharp edges local fitting is a better method anyway?

: You should look at the work of Hugues Hoppe. His thesis dealt with fitting subdivision surfaces with sharp features to point clouds. His work appeared in SIGGRAPH 96 and is titled
: "Automatic reconstruction of B-spline surfaces of arbitrary topological type"

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Comments:
: Thanks for your suggestion. I took a quick look at the paper and it was enlightening. Even though I am looking at a somewhat different problem - fitting a subdivision surface to a NURBS-based representation. A subdivision surface allows us to generate displayable LODs incrementally - but I guess what was done in Hoppe's work should be very close to Catmull-clark sudvision surface. : The interpolatary subdivision scheme has its advantages for rendering purposes - the control mesh is a very good low level LOD for example and its fitting can be easier. : Can you send me your master thesis that talks about how to generate an interpolatory subdivision curve to to hjb_zy@hotmail.com? The reproduction of circular shape is an important part of achieving a subdivision surface that gives good approximation to the input shape I have - as circular shapes does appear frequently in mechanical parts which is the application domain I am looking at. : : : The broader subject of fitting a subdivision surface to a general NURBS representation seems to be a hard problem also. While the sharing of the control vertices is the advantage of subdivision surface, it does seem to introduce additional difficulty in the fitting due to the size of the global matrix we have to deal with. There are also some works that use iterative local fitting - for example the work by Suzuki and the quasi-interplation method by Nathan Litke. Can you also provide some insight here - it seems that with the special rules for sharp edges local fitting is a better method anyway? : : You should look at the work of Hugues Hoppe. His thesis dealt with fitting subdivision surfaces with sharp features to point clouds. His work appeared in SIGGRAPH 96 and is titled : : "Automatic reconstruction of B-spline surfaces of arbitrary topological type"

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