Voderberg。著名的螺旋充填。
密鋪(Tessellation)或稱平面填充、細分曲面(subdivision surface),是指把一些較小的表面填滿一個較大的表面而不留任何空隙。
Tessellation 原意是鑲嵌,是一種細分曲面的技術, 可以快速讓成像3D的小三角型快速增加。目前GPU內透過 Programmable Tessellator來實現細分曲面,使得渲染對象的表面和邊緣更平滑,物件呈現更為精細。ATi-AMD自2001年研發Tessellation,为微软xbox360研发的GPU已部分支持此技术,2007年的R600(Radeon HD 2000系列)通过私有方案支援鑲嵌技術。[1]
DirectX 已實作出Tessellation, DirectX 11在繪圖流程內新增Hull Shader、Tessellator及Domain Shader三個部分來實現Tessellation. Hull Shader將瑣碎的資料(patches, 由quad mesh計算取得)作調整後傳給Tessellator, Tessellator據此產生大量的點,最後Domain Shader將點轉換成頂點。OpenGL提供了RT-Patch Tessellation的支援。
平面充填[]
正多角形[]
正多角形的鑲嵌可分正三角形、正方形、正六角形3種。
参考资料[]
外部連結[]
| File:Commons-logo.svg | 维基共享资源中相关的多媒体资源:Tessellation |
- Interactive Girih Tiles - Tessellation
- K-12 Tessellation Lesson
- Tilings Encyclopedia - Reference for Substitution Tilings
- Math Forum Tessellation Tutorials - make your own
- Mathematical Art of M. C. Escher - tessellations in art
- The 14 Different Types of Convex Pentagons that Tile the Plane
- Tiling Plane & Fancy at Southern Polytechnic State University
- Grotesque Geometry, Andrew Crompton
- Tessellations.org - many examples and do it yourself tutorials from the artistic, not mathematical, point of view
- Tessellation.info A database with over 500 tessellations categorized by artist and depicted subjects
- Tiles and Tessellations
- Semiregular pattern - This pattern can describe a collapsing cylinder
- Hyperbolic Tessellations, David E. Joyce, Clark University
- Some Special Radial and Spiral Tilings
- 真DX11架构 Tessellation技术深度解析 对应专题 硬派中文网