ISSN:
1432-2315
Keywords:
Key words: Rational boundary Gregory patch
;
Gregory patch
;
Nonuniform B-spline surface
;
Approximation
;
Conversion
;
C1 continuity
;
Least squares
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
n -sided loop can be smoothly interpolated and that it can be smoothly connected to an adjacent patch. Thus, it is well-suited to interpolate complicated wire frames in shape modeling. Although a rational boundary Gregory patch can be exactly converted to a rational Bézier patch to enable the exchange of data, problems of high degree and singularity tend to arise as a result of conversion. This paper presents an algorithm that can approximately convert a rational boundary Gregory patch to a bicubic nonuniform B-spline surface. The approximating surface has C 1 continuity between its inner patches.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01909876
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