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Interactive Editing of Discrete Chebyshev Nets
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose an interactive method to edit a discrete Chebyshev net, which is a quad mesh with edges of the same length. To ensure that the edited mesh is always a discrete Chebyshev net, the maximum difference of all edge ...
Large-Scale Worst-Case Topology Optimization
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose a novel topology optimization method to efficiently minimize the maximum compliance for a high-resolution model bearing uncertain external loads. Central to this approach is a modified power method that can ...
Constrained Remeshing Using Evolutionary Vertex Optimization
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose a simple yet effective method to perform surface remeshing with hard constraints, such as bounding approximation errors and ensuring Delaunay conditions. The remeshing is formulated as a constrained optimization ...
Precise High-order Meshing of 2D Domains with Rational Bézier Curves
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose a novel method to generate a high-order triangular mesh for an input 2D domain with two key characteristics: (1) the mesh precisely conforms to a set of input piecewise rational domain curves, and (2) the geometric ...