14 citations · 17 across the 3 of their papers we have counts for
3 papers
math.NA2024★ 2 cited
Quasi-interpolation projectors for Subdivision Surfaces
Hailun Xu, Hongmei Kang
Subdivision surfaces are considered as an extension of splines to accommodate models with complex topologies, making them useful for addressing PDEs on models with complex topologi…
math.OC2023★ 1 cited
Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines
Zepeng Wen, Qiong Pan, Xiaoya Zhai +2
This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacemen…
math.OC2022★ 14 cited
A Deep Neural Network for Knot Placement in B-spline Approximation
Jiaqi Luo, Zepeng Wen, Hongmei Kang +1
Automatically determining knot number and positions is a fundamental and challenging problem in B-spline approximation. In this paper, the knot placement is abstracted as a mapping…