| 幻曲面的等距变换及等距曲面的分析性质 |
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| 引用本文： | 刘雪,邹建成,钟文琦. 幻曲面的等距变换及等距曲面的分析性质[J]. 北方工业大学学报, 2005, 17(3): 34-41 |
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| 作者姓名： | 刘雪 邹建成 钟文琦 |
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| 作者单位： | 北方工业大学理学院,100041,北京;北方工业大学理学院,100041,北京;北方工业大学CAD研究中心,100041,北京;北方工业大学CAD研究中心,100041,北京 |
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| 摘 要： | 本文研究的幻曲面是指以任何数字幻方（矩阵）为型值的Bernstain-Bezier曲面．对二次幻曲面做等距变换，给出了等距变换的图像．对其进行进一步分析，探讨了二次幻曲面的等距曲面的分析性质，并给出了幻曲面的等距曲面的第一、二基本形式。
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| 关 键 词： | 二次幻曲面 等距曲面 等距变换 |
| 收稿时间： | 2005-05-18 |
| 修稿时间： | 2005-05-18 |
The Offset Transformation of Magic Surfaces and Analytic Properties of Offset Surfaces |
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| Liu Xue,Zou Jiancheng,Zhong Wenqi. The Offset Transformation of Magic Surfaces and Analytic Properties of Offset Surfaces[J]. Journal of North China University of Technology, 2005, 17(3): 34-41 |
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| Authors: | Liu Xue Zou Jiancheng Zhong Wenqi |
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| Affiliation: | College of Eleetromeehanieal Engineering, North China Univ. of Teeh. , 100041, Beijing, China |
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| Abstract: | The so called magic surfaces are Bernstein-Bezier surfaces with certain magic square as their control matrixes. For the offset transformation of second degree magic surfaces ,pictures of offset transformation are given and analyzed accordingly. Analytic properties of offset surfaces are studied and their first and second fundamental forms are given. |
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| Keywords: | magic surface of second degree offset surface offset transformation |
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