标题： Codimensional MultiMeshing：同步多个嵌入几何的演化 显示英文标题

标题： Codimensional MultiMeshing: Synchronizing the Evolution of Multiple Embedded Geometries

摘要： 复杂的几何任务，如几何建模、物理模拟和纹理参数化，通常涉及许多具有潜在不同维度的复杂子域的嵌入。 这些任务通常需要演化这些子域离散化的几何形状和拓扑结构，并且为了定义边界条件，需要保证多个子域的\emph{一致的}整体嵌入。 我们提出了一种数据结构和算法框架，用于分层编码一组网格，使得它们之间的拓扑和几何变化可以自动传播并保持一致的对应关系。 我们在表面网格简化过程中展示了我们方法的有效性，同时保留UV接缝、周期性2D/3D网格划分，并扩展了TetWild算法以确保嵌入结构的拓扑保持。 显示英文摘要

摘要： Complex geometric tasks such as geometric modeling, physical simulation, and texture parametrization often involve the embedding of many complex sub-domains with potentially different dimensions. These tasks often require evolving the geometry and topology of the discretizations of these sub-domains, and guaranteeing a \emph{consistent} overall embedding for the multiplicity of sub-domains is required to define boundary conditions. We propose a data structure and algorithmic framework for hierarchically encoding a collection of meshes, enabling topological and geometric changes to be automatically propagated with coherent correspondences between them. We demonstrate the effectiveness of our approach in surface mesh decimation while preserving UV seams, periodic 2D/3D meshing, and extending the TetWild algorithm to ensure topology preservation of the embedded structures.