| 实现曲面刻字的调和方法 |
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| 引用本文： | 李洪涛,王晓明. 实现曲面刻字的调和方法[J]. 机床与液压, 2005, 0(1): 32-33,44 |
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| 作者姓名： | 李洪涛 王晓明 |
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| 作者单位： | 大连理工大学机械工程学院现代制造技术研究所,大连,116024 |
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| 摘 要： | 曲面刻字的首要问题在于如何选择刀位点，使得文字笔划角度在曲面上与平面时相同。本文的解决方法是将文字图像调和映射到曲面上确定刀位点，由调和映射的保角性质保证角度不变。描述了平面到曲面调和映射的求解过程，并以球面印字为例，进行了数值试验。
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| 关 键 词： | 调和映射 能量泛函 变分问题 偏微分方程 |
| 文章编号： | 1001-3881(2005)1-032-2 |
Harmonic Method for Lettering on Surface |
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| LI Hong-tao,WANG Xiao-ming. Harmonic Method for Lettering on Surface[J]. Machine Tool & Hydraulics, 2005, 0(1): 32-33,44 |
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| Authors: | LI Hong-tao WANG Xiao-ming |
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| Abstract: | In order to solve the fundamental problem for how to choose the coordinate of tools to avoid stroke being distorted in lettering on surface,harmonic method that selects the coordinate of tools based on harmonic mapping from image to surface,uses conformal property of harmonic maps to preserve angles,was adopted.The solution to harmonic mapping from plane to surface was presented,and the experiment of printing on sphere was discussed. |
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| Keywords: | Harmonic maps Functional Variational problem Partial differential equation |
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