| ชื่อเรื่อง | : | Anisotropic centroidal voronoi tessellations and their applications |
| นักวิจัย | : | Wang, Desheng , Du, Qiang |
| คำค้น | : | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2548 |
| อ้างอิง | : | Wang, D., & Du, Q. (2005). Anisotropic centroidal voronoi tessellations and their applications. Siam Journal on Scientific Computing, 26(3), 737–761. , 1064-8275 , http://hdl.handle.net/10220/6047 , http://dx.doi.org/10.1137/S1064827503428527 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Siam journal on scientific computing |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | In this paper, we introduce a novel definition of the anisotropic centroidal Voronoi tessellation (ACVT) corresponding to a given Riemann metric tensor. A directional distance function is used in the definition to simplify the computation. We provide algorithms to approximate the ACVT using the Lloyd iteration and the construction of anisotropic Delaunay triangulation under the given Riemannian metric. The ACVT is applied to the optimization of two-dimensional anisotropic Delaunay triangulation, to the generation of surface CVT, and high-quality triangular mesh on general surfaces. Various numerical examples demonstrating the effectiveness of the proposed method are presented. |
| บรรณานุกรม | : |
Wang, Desheng , Du, Qiang . (2548). Anisotropic centroidal voronoi tessellations and their applications.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Wang, Desheng , Du, Qiang . 2548. "Anisotropic centroidal voronoi tessellations and their applications".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Wang, Desheng , Du, Qiang . "Anisotropic centroidal voronoi tessellations and their applications."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2548. Print. Wang, Desheng , Du, Qiang . Anisotropic centroidal voronoi tessellations and their applications. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2548.
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