提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
实际建模过程中，经常会遇到非流形的多边形表面，但很多现有的图形学算法都是基于流形结构的。
In the progress of modeling, We often meet Non-Manifold polygonal surfaces, but a lot of graphical algorithms that operate exclusively on a Manifold polygonal surfaces.
佩雷尔曼的成就在于他实现了理查德·汉密尔顿的计划，从而揭示出三维流形空间的深邃的结构。
What Perelman has achieved is the fulfillment of Richard Hamilton's program, thus revealing a profound structure in the space of 3-manifolds.
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