Parametrization quantization with free boundaries for trimmed quad meshing
Parametrization quantization with free boundaries for trimmed quad meshing
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DOI：
10.1145/3306346.3323019
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发表时间：
2019-07
期刊：
影响因子：
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通讯作者：
M. Lyon;M. Campen;D. Bommes;L. Kobbelt
中科院分区：
文献类型：
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作者：
M. Lyon;M. Campen;D. Bommes;L. Kobbelt
基于曲面参数化技术的四边形网格生成已被证明是一种通用的方法。这些技术对初始无缝参数化进行量化，以获得隐含纯四边形网格的整数网格映射。遵循这种方法的最先进的方法必须假设要网格化的曲面没有边界，或者具有所产生的网格应该与之对齐的边界。在各种应用中，这并不是所希望的，而非边界对齐网格或网格参数化是首选。因此，我们提出了一种技术来稳健地生成整数网格地图，这些地图既可以是边界对齐的，也可以是非边界对齐的，或者是部分边界对齐的，就像不同的应用所要求的那样。因此，我们将以前的工作推广到这一更广泛的背景下。这使得能够可靠地生成具有边界上的部分元素的修剪的四边形网格，这在从平铺纹理而不是设计和建模到制造和建筑的各种场景中更可取，因为约束更少，因此整体网格质量更高，并且在美学和灵活性方面具有其他好处。
The generation of quad meshes based on surface parametrization techniques has proven to be a versatile approach. These techniques quantize an initial seamless parametrization so as to obtain an integer grid map implying a pure quad mesh. State-of-the-art methods following this approach have to assume that the surface to be meshed either has no boundary, or has a boundary which the resulting mesh is supposed to be aligned to. In a variety of applications this is not desirable and non-boundary-aligned meshes or grid-parametrizations are preferred. We thus present a technique to robustly generate integer grid maps which are either boundary-aligned, non-boundary-aligned, or partially boundary-aligned, just as required by different applications. We thereby generalize previous work to this broader setting. This enables the reliable generation of trimmed quad meshes with partial elements along the boundary, preferable in various scenarios, from tiled texturing over design and modeling to fabrication and architecture, due to fewer constraints and hence higher overall mesh quality and other benefits in terms of aesthetics and flexibility.