首页> 外文期刊>Computers & Graphics >Surface reconstruction using bivariate simplex splineson Delaunay configurations
【24h】

Surface reconstruction using bivariate simplex splineson Delaunay configurations

机译:使用二元单纯形样条线Delaunay构造进行曲面重建

获取原文
获取原文并翻译 | 示例
           

摘要

Recently, a new bivariate simplex spline scheme based on Delaunay configuration has been introduced into the geometric computing community, and it defines a complete spline space that retains many attractive theoretic and computational properties. In this paper, we develop a novel shape modeling framework to reconstruct a closed surface of arbitrary topology based on this new spline scheme. Our framework takes a triangulated set of points, and by solving a linear least-square problem and iteratively refining parameter domains with newly added knots, we can finally obtain a continuous spline surface satisfying the requirement of a user-specified error tolerance. Unlike existing surface reconstruction methods based on triangular B-splines (or DMS splines), in which auxiliary knots must be explicitly added in advance to form a knot sequence for construction of each basis function, our new algorithm completely avoids this less-intuitive and labor-intensive knot generating procedure. We demonstrate the efficacy and effectiveness of our algorithm on real-world, scattered datasets for shape representation and computing.
机译:最近,基于Delaunay配置的新的双变量单纯形样条方案已被引入几何计算社区,它定义了一个完整的样条空间,保留了许多诱人的理论和计算属性。在本文中,我们开发了一种新颖的形状建模框架,可以基于这种新的样条方案来重建任意拓扑的闭合表面。我们的框架采用三角剖分的点集,并且通过解决线性最小二乘问题并使用新添加的节点反复细化参数域,最终可以得到满足用户指定的误差容限要求的连续样条曲面。与现有的基于三角B样条(或DMS样条)的表面重建方法不同,在这种方法中,必须事先显式添加辅助结以形成用于构造每个基函数的结序列,而我们的新算法完全避免了这种不太直观和费力的工作-密集的结产生过程。我们展示了我们的算法在真实世界中分散的形状表示和计算数据集上的有效性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号