Abstract. Riemann surfaces naturally appear in the analysis of complex functions that are branched over the complex plane. However, they usually possess a complicated topology and ...
Matthias Nieser, Konstantin Poelke, Konrad Polthie...
When interpolating a network of curves to create a C1 surface from spline patches, the network has to satisfy an algebraic condition, called the vertex enclosure constraint. We sho...
In this paper, we present a method for constructing Loop’s subdivision surface patches with given G1 boundary conditions and a given topology of control polygon of the subdivisi...
Minimal surface is an important class of surfaces. They are widely used in the areas such as architecture, art and natural science etc.. On the other hand, subdivision technology h...
Abstract. In isogeometric analysis (IGA for short) framework, computational domain is exactly described using the same representation as that employed in the CAD process. For a CAD...
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D d...
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
We present a method for medial surface reconstruction from volumetric data of thin-plate objects including junctions. Given medial voxels and distance fields computed from binariz...
Abstract. Parameterizations have a wide range of applications in computer graphics, geometric design and many other fields of science and engineering. Although surface parameteriz...
Jiazhi Xia, Ying He 0001, Shuchu Han, Chi-Wing Fu,...