5 papers
ComboStoc: Combinatorial Stochasticity for Diffusion Generative Models
Rui Xu, Jiepeng Wang, Hao Pan +6
In this paper, we study an under-explored but important factor of diffusion generative models, i.e., the combinatorial complexity. Data samples are generally high-dimensional, and…
Efficient Nearest Neighbor Search Using Dynamic Programming
Pengfei Wang, Jiantao Song, Shiqing Xin +4
Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. How…
NeurCross: A Neural Approach to Computing Cross Fields for Quad Mesh Generation
Qiujie Dong, Huibiao Wen, Rui Xu +6
Quadrilateral mesh generation plays a crucial role in numerical simulations within Computer-Aided Design and Engineering (CAD/E). Producing high-quality quadrangulation typically r…
Towards Voronoi Diagrams of Surface Patches
Pengfei Wang, Jiantao Song, Lei Wang +5
Extraction of a high-fidelity 3D medial axis is a crucial operation in CAD. When dealing with a polygonal model as input, ensuring accuracy and tidiness becomes challenging due to…
ITS: Implicit Thin Shell for Polygonal Meshes
Huibiao Wen, Lei Wang, Yunxiao Zhang +6
In computer graphics, simplifying a polygonal mesh surface~ into a geometric proxy that maintains close conformity to~ is crucial, as it can significantly…