Approximate conversion of a rational boundary gregory patch to a nonuniform B-spline surface |
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Authors: | Yoshimasa Tokuyama Kouichi Konno |
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Affiliation: | (1) Software Division, RICOH, Co., Ltd., 1-17 Koishikawa-cho 1-Chome, Bunkyo-ku, 112 Tokyo, Japan |
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Abstract: | A rational boundary Gregory patch is characterized by the facts that anyn-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 hasC
1 continuity between its inner patches. |
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Keywords: | Rational boundary Gregory patch Gregory patch Nonuniform B-spline surface Approximation Conversion C
1 continuity Least squares |
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