点模型微分属性的估算及其应用

王仁芳; 徐惠霞; 陈仲委; 李继芳

doi:10.3724/SP.J.1004.2011.01474

点模型微分属性的估算及其应用

doi: 10.3724/SP.J.1004.2011.01474

1.
浙江万里学院计算机与信息学院宁波 315100

详细信息

通讯作者:
王仁芳浙江万里学院计算机与信息学院副教授. 2008年获得浙江大学计算机科学与技术专业博士学位. 主要研究方向为数字几何处理,计算机图形学与虚拟现实. E-mail: renfangwang@gmail.com

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出版历程
- 收稿日期: 2011-03-08
- 修回日期: 2011-07-01
- 刊出日期: 2011-12-20

Estimation of Differential Properties on Point-sampled Surfaces and Its Applications

1.
College of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo 315100

摘要

摘要: 为了有效地估算点模型的微分属性,提出了一种基于几何特征相似性的估算方法. 首先,利用Mean shift (MS)聚类法,对点模型进行几何特征相似性聚类;然后,基于径向基函数(Radial basis functions, RBF),重构各聚类单元的局部隐式曲面; 最后,依据经典微分几何理论,在径向基函数曲面上便捷地求解采样点的微分属性并给出具体应用. 实验与应用结果表明,该方法能够比较精确地估算出点模型的微分属性且得到有效应用.
- 微分属性 /
- Mean shift聚类 /
- 径向基函数 /
- 点绘制 /
- 简化 /
- 谷脊线
Abstract: Based on the geometry-features similarity, an algorithm is presented for effectively estimating the differential properties on point-sampled surfaces (PSS). By using mean-shift (MS) clustering, PSS is first clustered into clusters according to the surface-features similarity. Based on radial base functions, a local implicit surface is then reconstructed that approximates the sampled points in a cluster. By applying the theory of classical differential geometry to each implicit surface, the differential properties of each sampled point on PSS are finally estimated and their applications are given. Some experimental results demonstrate that the algorithm can accurately estimate the differential properties on PSS and is effective.
- Differential property /
- mean-shift clustering /
- radial basis function (RBF) /
- point-based rendering /
- simplification /
- valley-ridge line

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参考文献(1)

[1]

Wang Ren-Fang, Li Ji-Fang, Yang Qing, Zhang San-Yuan. Fast high-quality rendering of point-sampled geometry. Journal of Computer-Aided Design and Computer Graphics, 2010, 22(2): 191-197(王仁芳, 李继芳, 杨庆, 张三元. 点模型的快速高质量绘制. 计算机辅助设计与图形学学报, 2010, 22(2): 191-197)[2] Wang Ren-Fang, Zhang San-Yuan, Ye Xiu-Zi. Similarity-based simplification of point-sampled surfaces. Journal of Zhejiang University (Engineering Science), 2009, 43(3): 448-454(王仁芳, 张三元, 叶修梓. 基于相似性的点模型简化算法. 浙江大学学报(工学版), 2009, 43(3): 448-454)[3] Pang Xu-Fang, Pang Ming-Yong, Xiao Chun-Xia. An algorithm for extracting and enhancing valley-ridge features from point sets. Acta Automatica Sinica, 2010, 36(8): 1073-1083(庞旭芳, 庞明勇, 肖春霞. 点云模型谷脊特征的提取与增强算法. 自动化学报, 2010, 36(8): 1073-1083)[4] Miao Y W, Feng J Q, Xiao C X, Peng Q S. High frequency geometric detail manipulation and editing for point-sampled surfaces. The Visual Computer: International Journal of Computer Graphics, 2008, 24(2): 125-138[5] Daniels J, Ochotta T, Ha L, Silva C. 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点模型微分属性的估算及其应用

doi: 10.3724/SP.J.1004.2011.01474

通讯作者:
王仁芳浙江万里学院计算机与信息学院副教授. 2008年获得浙江大学计算机科学与技术专业博士学位. 主要研究方向为数字几何处理,计算机图形学与虚拟现实. E-mail: renfangwang@gmail.com

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Estimation of Differential Properties on Point-sampled Surfaces and Its Applications

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留言板

点模型微分属性的估算及其应用

doi: 10.3724/SP.J.1004.2011.01474

通讯作者: 王仁芳 浙江万里学院计算机与信息学院副教授. 2008年获得浙江大学计算机科学与技术专业博士学位. 主要研究方向为数字几何处理,计算机图形学与虚拟现实. E-mail: renfangwang@gmail.com

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出版历程

Estimation of Differential Properties on Point-sampled Surfaces and Its Applications

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出版历程

目录

通讯作者:
王仁芳浙江万里学院计算机与信息学院副教授. 2008年获得浙江大学计算机科学与技术专业博士学位. 主要研究方向为数字几何处理,计算机图形学与虚拟现实. E-mail: renfangwang@gmail.com