Building a mesh from a point cloud in 3D requires sophisticated algorithms like Poisson Surface Reconstruction in Open3D. This tool is ideal for creating accurate surfaces from point clouds, like in the case of a Stanford bunny model. However, even with advanced techniques, gaps can still exist in the reconstructed mesh, challenging the notion of a ‘closed’ surface. A unique approach involves spherical embedding, where points are projected onto a unit sphere, forming a mesh that unwraps gradually to connect points accurately. This method introduces the concept of Laplace-Beltrami operators to unfold the mesh, showcasing an alternative way to construct 3D models.
https://andrews.wiki/spherical-mesh