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Precise Gradient Discontinuities in Neural Fields for Subspace Physics
Mengfei Liu, Yue Chang, Zhecheng Wang +2
Discontinuities in spatial derivatives appear in a wide range of physical systems, from creased thin sheets to materials with sharp stiffness transitions. Accurately modeling these…
3D Cell Oversegmentation Correction via Geo-Wasserstein Divergence
Peter Chen, Bryan Chang, Olivia A Creasey +3
3D cell segmentation methods are often hindered by \emph{oversegmentation}, where a single cell is incorrectly split into multiple fragments. This degrades the final segmentation q…
Displacement-Sparse Neural Optimal Transport
Peter Chen, Yue Xie, Qingpeng Zhang
Optimal transport (OT) aims to find a map that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained…
Lifting the Winding Number: Precise Discontinuities in Neural Fields for Physics Simulation
Yue Chang, Mengfei Liu, Zhecheng Wang +2
Cutting thin-walled deformable structures is common in daily life, but poses significant challenges for simulation due to the introduced spatial discontinuities. Traditional method…