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Re: non-stationary scheme for circle construction

Posted by Scott Schaefer on March 22, 2005 at 15:25:33:

In Reply to: Re: non-stationary scheme for circle construction posted by hjb_zy on March 22, 2005 at 11:03:28:

: 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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: : 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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