| 基于重心映射的三角形网格参数化方法研究与实现 |
| |
| 引用本文： | 管焱然,奥利弗·范凯克,管有庆.基于重心映射的三角形网格参数化方法研究与实现[J].北京邮电大学学报,2019,42(5):83-90. |
| |
| 作者姓名： | 管焱然 奥利弗·范凯克 管有庆 |
| |
| 作者单位： | 卡尔顿大学 计算机科学学院, 渥太华 K1S 5B6;南京邮电大学 物联网学院,南京,210003 |
| |
| 基金项目： | 江苏省高校自然科学研究计划项目（05KJD520146） |
| |
| 摘 要： | 针对在几何处理领域有着广泛应用的三角形网格参数化问题，研究了基于重心映射的三角形网格参数化方法.利用geometry-processing-js类库中的半边数据结构，采用均匀拉普拉斯权重、拉普拉斯-贝尔特拉米权重和中值权重3种加权方案，实现了重心映射法，并根据三角形的形变量分析了参数化结果.结果表明，中值权重为重心映射法的最优加权方案.
|
| 关 键 词： | 参数化 重心映射 三角形网格 几何处理 |
| 收稿时间： | 2018-11-16 |
Research and Implementation of Triangle Mesh Parameterization Method Based on Barycentric Mapping |
| |
| GUAN Yan-ran,Oliver van Kaick,GUAN You-qing.Research and Implementation of Triangle Mesh Parameterization Method Based on Barycentric Mapping[J].Journal of Beijing University of Posts and Telecommunications,2019,42(5):83-90. |
| |
| Authors: | GUAN Yan-ran Oliver van Kaick GUAN You-qing |
| |
| Affiliation: | 1. School of Computer Science, Carleton University, Ottawa K1S 5B6, Canada;
2. School of Internet of Things, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
| |
| Abstract: | The parameterization of triangle meshes has numerous applications in the field of geometry processing. Using the halfedge-based data structure provided by geometry-processing-js, this paper researches on the mesh parameterization and its implementation based on barycentric mapping, as well as three weight sets applied in barycentric mapping, namely, the uniform Laplacian weights, the Laplace-Beltrami weights, and the mean value weights. A comparison between the results of parameterization is given based on the distortion caused to the triangles, and a conclusion is given that the mean value weights provide the best weighting scheme for barycentric mapping. |
| |
| Keywords: | parameterization barycentric mapping triangle mesh geometry processing |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《北京邮电大学学报》浏览原始摘要信息 |
|
点击此处可从《北京邮电大学学报》下载全文 |
|
