论文标题
对于$^2 $ m：识别和修复网状表面中的折叠。应用于3D对象降解
FoR$^2$M: Recognition and Repair of Foldings in Mesh Surfaces. Application to 3D Object Degradation
论文作者
论文摘要
三角形网格是3D对象的最受欢迎的表示，但是许多网格表面都包含拓扑奇异性，代表了显示或进一步正确处理它们的挑战。这样的奇异性是通过扫描过程或通过变形转换（例如偏离设置）创建的网格表面中存在的自我交流。 网格折叠包括网状表面自我交流的特殊情况，相对于网格表面的展开部分，3D模型的面相交并逆转。提出了一种识别和修复网格表面折叠的新方法，该方法利用了折叠的结构特征，以有效地检测折叠区域。检测后，拆卸折叠，并根据3D模型的几何形状填补了折叠的任何空白。所提出的方法直接适用于简单的网格表面表示，而它不执行3D网格的任何嵌入（即Voxelization，投影）。所提出的方法的目标是以最有效的方式以保留原始结构的方式促进网格退化程序。
Triangular meshes are the most popular representations of 3D objects, but many mesh surfaces contain topological singularities that represent a challenge for displaying or further processing them properly. One such singularity is the self-intersections that may be present in mesh surfaces that have been created by a scanning procedure or by a deformation transformation, such as off-setting. Mesh foldings comprise a special case of mesh surface self-intersections, where the faces of the 3D model intersect and become reversed, with respect to the unfolded part of the mesh surface. A novel method for the recognition and repair of mesh surface foldings is presented, which exploits the structural characteristics of the foldings in order to efficiently detect the folded regions. Following detection, the foldings are removed and any gaps so created are filled based on the geometry of the 3D model. The proposed method is directly applicable to simple mesh surface representations while it does not perform any embedding of the 3D mesh (i.e. voxelization, projection). Target of the proposed method is to facilitate mesh degradation procedures in a fashion that retains the original structure, given the operator, in the most efficient manner.
