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GMP
2010
IEEE
354views Solid Modeling» more  GMP 2010»
8 years 6 months ago
Automatic Generation of Riemann Surface Meshes
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...
GMP
2010
IEEE
191views Solid Modeling» more  GMP 2010»
8 years 8 months ago
Constraints on Curve Networks Suitable for G2 Interpolation
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...
Thomas Hermann, Jörg Peters, Tim Strotman
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
8 years 9 months ago
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
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...
Guoliang Xu, Qing Pan
GMP
2010
IEEE
195views Solid Modeling» more  GMP 2010»
8 years 10 months ago
Construction of Minimal Catmull-Clark's Subdivision Surfaces with Given Boundaries
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...
Qing Pan, Guoliang Xu
GMP
2010
IEEE
175views Solid Modeling» more  GMP 2010»
8 years 10 months ago
Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis
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...
Gang Xu, Bernard Mourrain, Régis Duvigneau,...
GMP
2010
IEEE
214views Solid Modeling» more  GMP 2010»
8 years 10 months ago
Efficient Computation of 3D Clipped Voronoi Diagram
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...
Dong-Ming Yan, Wenping Wang, Bruno Lévy, Ya...
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
8 years 11 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
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...
Angelos Mantzaflaris, Bernard Mourrain
GMP
2010
IEEE
297views Solid Modeling» more  GMP 2010»
8 years 11 months ago
Non-manifold Medial Surface Reconstruction from Volumetric Data
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...
Takashi Michikawa, Hiromasa Suzuki
GMP
2010
IEEE
246views Solid Modeling» more  GMP 2010»
8 years 11 months ago
Parameterization of Star-Shaped Volumes Using Green's Functions
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,...
GMP
2010
IEEE
252views Solid Modeling» more  GMP 2010»
8 years 11 months ago
Surfaces with Rational Chord Length Parameterization
Bohumír Bastl, Bert Jüttler, Miroslav ...
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