| 空间网格上的三次GC′插值格式 |
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| 引用本文： | 施锡泉,王天军.空间网格上的三次GC′插值格式[J].数学研究及应用,1994,14(4):539-545. |
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| 作者姓名： | 施锡泉 王天军 |
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| 作者单位： | 大连理工大学数学研究所;北京航空航天大学 |
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| 摘 要： | 本文得到了由三次参数多项式构造的ＧＣ＇插值格式定义在由空间三角形和空间四边形构成的空间网格上，并通过该网格的所有网点，同时在每个网点处以事先给定的平面为切平面．
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| 收稿时间： | 9/9/1992 12:00:00 AM |
A GC1 Cnbic Interpolant on a Space Mesh |
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| Shi Xiquan and Wang Tianjun.A GC1 Cnbic Interpolant on a Space Mesh[J].Journal of Mathematical Research with Applications,1994,14(4):539-545. |
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| Authors: | Shi Xiquan and Wang Tianjun |
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| Institution: | Inst. of Math. Science; Dalian Univ. of Tech.;Beijing Univ. of Aeronautics & Astronautics |
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| Abstract: | In this note we derive an interpolation scheme for constructing GC1 surfacesby cubic parameterized polynomials. This scheme can be used to construct GC1 sur-faces over the so called space meshes which are composed of space triangles and spacequadrangles. As a special case, it can be used to construct GC1 surfaces over triangularmeshes. In addition, the results in this note was published as LETTERS in ChineseScience Bulletin (Vol. 36, No. 20, Oct., 1991). |
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| Keywords: | free surface interpolant space mesh |
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