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cs.GR2026
Non-uniform B-spline optimization method for generating swept surfaces
Xiaoyan Kui, Min Yang, Songpeng Yao +4
Swept surface construction is widely used in computer-aided design. We propose a novel optimization method using non-uniform B-splines to improve the approximate accuracy of swept…
cs.GR2026
Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions
Anchang Bao, Enya Shen, Yongjun Zhang +2
Monte Carlo methods have proven highly effective for elliptic partial differential equations through algorithms such as Walk on Spheres and Walk on Stars, which evaluate solutions…
cs.GR2026
Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions
Anchang Bao, Enya Shen, Jianmin Wang
Monte Carlo PDE solvers have become increasingly popular for solving heat-related partial differential equations in geometry processing and computer graphics due to their robustnes…