We introduce TetSphere Splatting, a Lagrangian geometry representation designed for high-quality 3D shape modeling. TetSphere splatting leverages an underused yet powerful geometric primitive -- volumetric tetrahedral meshes. It represents 3D shapes by deforming a collection of tetrahedral spheres, with geometric regularizations and constraints that effectively resolve common mesh issues such as irregular triangles, non-manifoldness, and floating artifacts. Experimental results on multi-view and single-view reconstruction highlight TetSphere splatting's superior mesh quality while maintaining competitive reconstruction accuracy compared to state-of-the-art methods. Additionally, TetSphere splatting demonstrates versatility by seamlessly integrating into generative modeling tasks, such as image-to-3D and text-to-3D generation.

翻译：我们提出了四面体球体溅射，一种专为高质量三维形状建模设计的拉格朗日几何表示方法。四面体球体溅射利用了一种未被充分利用但功能强大的几何基元——体积四面体网格。它通过变形一组四面体球体来表示三维形状，并辅以几何正则化和约束，有效解决了常见的网格问题，如不规则三角形、非流形结构和悬浮伪影。在多视图和单视图重建上的实验结果突显了四面体球体溅射在保持与最先进方法相竞争的重建精度的同时，具有更优的网格质量。此外，四面体球体溅射通过无缝集成到生成式建模任务中，如图像到三维和文本到三维生成，展示了其多功能性。