Thien Nguyen,Jörg Peters
Thien Nguyen
Building on a result of U. Reif on removable singularities, we construct C1 bi-3 splines that may include irregular points where less or more than four tensor-product patches meet. The resulting space complements PHT splines, is refinable a...
Matched Gk -constructions always yield Ck -continuous isogeometric elements [0.03%]
匹配的Gk-构造总是产生Ck-连续的等几何元素
David Groisser,Jörg Peters
David Groisser
Gk (geometrically continuous surface) constructions were developed to create surfaces that are smooth also at irregular points where, in a quad-mesh, three or more than four elements come together. Isogeometric elements were developed to un...
Smooth surfaces from bilinear patches: Discrete affine minimal surfaces [0.03%]
由双线性补丁构造光滑曲面：离散仿射极小曲面
Florian Käferböck,Helmut Pottmann
Florian Käferböck
Motivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many proper...
Quality Tetrahedral Mesh Smoothing via Boundary-Optimized Delaunay Triangulation [0.03%]
基于边界优化的Delaunay剖分的高质量四面体网格优化算法
Zhanheng Gao,Zeyun Yu,Michael Holst
Zhanheng Gao
Despite its great success in improving the quality of a tetrahedral mesh, the original optimal Delaunay triangulation (ODT) is designed to move only inner vertices and thus cannot handle input meshes containing "bad" triangles on boundaries...
Xinwei Shi,Patrice Koehl
Xinwei Shi
In this paper, we present efficient algorithms for generating hierarchical molecular skin meshes with decreasing size and guaranteed quality. Our algorithms generate a sequence of coarse meshes for both the surfaces and the bounded volumes....
Guoliang Xu,Chandrajit Bajaj
Guoliang Xu
By a d-dimensional B-spline object (denoted as ), we mean a B-spline curve (d = 1), a B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object we mean the process of relocating the control points of such...
Guoliang Xu,Qing Pan,Chandrajit L Bajaj
Guoliang Xu
We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form surface fitting. The nonlinear equations used include two second...
Quality Meshing of Implicit Solvation Models of Biomolecular Structures [0.03%]
生物分子结构的隐式溶剂模型的优质网格划分
Yongjie Zhang,Guoliang Xu,Chandrajit Bajaj
Yongjie Zhang
This paper describes a comprehensive approach to construct quality meshes for implicit solvation models of biomolecular structures starting from atomic resolution data in the Protein Data Bank (PDB). First, a smooth volumetric electron dens...