首页> 外国专利> U-SPLINES: SPLINES OVER UNSTRUCTURED MESHES

U-SPLINES: SPLINES OVER UNSTRUCTURED MESHES

机译:U样条线:非结构化网格上的样条线

摘要

U-splines are an improved spline construction for representing smooth objects in Computer-Aided Design (CAD) and Computer- Aided Engineering (CAE). A spline is a piecewise-defined function that satisfies continuity constraints between adjacent elements in a mesh. U-splines differ from existing spline constructions, such as Non-Uniform Rational B- splines (NURBS), subdivision surfaces, T-splines, and hierarchical B-splines, in that they can accommodate local geometrically exact adaptivity in h (element size), p (polynomial degree), and k (smoothness) simultaneously over any mesh topology. U-splines have no restrictions on the placement of T-junctions in the mesh. Mixed element meshes (e.g., triangle and quadrilateral elements in the same surface mesh) are also supported. Additionally, the U- spline basis is positive, forms a partition of unity, is linearly independent, and provides optimal approximation when used in analysis.
机译:U样条曲线是一种改进的样条曲线构造,用于表示计算机辅助设计(CAD)和计算机辅助工程(CAE)中的平滑对象。样条曲线是分段定义的函数,可满足网格中相邻元素之间的连续性约束。 U样条不同于现有的样条构造,例如非均匀有理B样条(NURBS),细分曲面,T样条和分层B样条,因为它们可以适应局部几何精确的h(元素大小)适应性,p(多项式度)和k(平滑度)在任何网格拓扑上同时显示。 U样条对网格中T形结的位置没有限制。还支持混合元素网格(例如,同一曲面网格中的三角形和四边形元素)。此外,U样条曲线的基数为正,形成一个单位的分区,线性独立,并在分析中提供最佳近似值。

著录项

  • 公开/公告号WO2018237067A1

    专利类型

  • 公开/公告日2018-12-27

    原文格式PDF

  • 申请/专利权人 COREFORM LLC;

    申请/专利号WO2018US38586

  • 发明设计人 THOMAS DEREK;

    申请日2018-06-20

  • 分类号G06F7/60;

  • 国家 WO

  • 入库时间 2022-08-21 11:57:36

相似文献

  • 专利
  • 外文文献
  • 中文文献
获取专利

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