| 曲面三角网格模型参数化 |
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| 引用本文： | 神会存,周来水,张丽艳.曲面三角网格模型参数化[J].南京航空航天大学学报(英文版),2004,21(2). |
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| 作者姓名： | 神会存 周来水 张丽艳 |
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| 作者单位： | 南京航空航天大学机电学院,南京,210016,中国 |
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| 基金项目： | 国家自然科学基金 ( G60 2 73 0 97)资助项目，教育部高等学校优秀青年教师教学科研奖励计划，江苏省自然科学基金 ( BK2 0 0 1 40 8)资助项目~~ |
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| 摘 要： | 提出了一种新的曲面三角网格模型参数化算法——加权最小二乘离散参数化方法 ( WLSDP)。该算法通过将空间数据点映射到平面凸区域 ,实现曲面三角模型参数化。它是离散保角映射 ( DCM)与离散保积映射( DAM)的线性组合 ,兼有二者的优点 ,如鲁棒性与低变形。用户通过调整该算法中的比例因子 q,可以得到满足不同特定问题要求的参数化结果
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| 关 键 词： | 三角网格 加权最小二乘离散参数化 离散保角映射 离散保积映射 |
PARAMETERIZATION OF TRIANGULAR MESHES |
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| SHEN Hui-cun,ZHOU Lai-shui,ZHANG Li-yan.PARAMETERIZATION OF TRIANGULAR MESHES[J].Transactions of Nanjing University of Aeronautics & Astronautics,2004,21(2). |
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| Authors: | SHEN Hui-cun ZHOU Lai-shui ZHANG Li-yan |
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| Abstract: | A new algorithm called the weighted least square discrete parameterization (WLSDP) is presented for the parameterization of triangular meshes over a convex planar region. This algorithm is the linear combination of the discrete Conformal mapping(DCM) and the discrete Authalic mapping(DAM). It provides the good properties of both DCM and DAM, such as robustness and low distortion. By adjusting the scaling factor q embedded in the WLSDP, satisfactory parameterizations in different special applications can be achieved. |
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| Keywords: | triangular meshes weighted least square discrete parameterization discrete Conformal mapping discrete Authalic mapping |
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