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GMP
2008
IEEE
192views Solid Modeling» more  GMP 2008»
13 years 11 months ago
Efficient Collision Detection Using a Dual Bounding Volume Hierarchy
We perform collision detection between static rigid objects using a bounding volume hierarchy which consists of an oriented bounding box (OBB) tree enhanced with bounding spheres. ...
Jung-Woo Chang, Wenping Wang, Myung-Soo Kim
GMP
2008
IEEE
234views Solid Modeling» more  GMP 2008»
13 years 11 months ago
Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter
Abstract. In this paper, parametric polynomial minimal surfaces of degree six with isothermal parameter are discussed. We firstly propose the sufficient and necessary condition of ...
Gang Xu, Guozhao Wang
SMA
2010
ACM
195views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Piecewise 3D Euler spirals
3D Euler spirals are visually pleasing, due to their property of having their curvature and their torsion change linearly with arc-length. This paper presents a novel algorithm fo...
David Ben-Haim, Gur Harary, Ayellet Tal
SMA
2010
ACM
219views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Barycentric interpolation and mappings on smooth convex domains
In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a function defined on the boundary of a smooth convex domain, using an integral ...
Michael S. Floater, Jirí Kosinka
SMA
2010
ACM
235views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Constructing A-spline weight functions for stable WEB-spline finite element methods
Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is ...
Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na ...
SMA
2010
ACM
187views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Polygonizing extremal surfaces with manifold guarantees
Extremal surfaces are a class of implicit surfaces that have been found useful in a variety of geometry reconstruction applications. Compared to iso-surfaces, extremal surfaces ar...
Ruosi Li, Lu Liu, Ly Phan, Sasakthi S. Abeysinghe,...
SMA
2010
ACM
223views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Hyperbolic centroidal Voronoi tessellation
The centroidal Voronoi tessellation (CVT) has found versatile applications in geometric modeling, computer graphics, and visualization. In this paper, we extend the concept of the...
Guodong Rong, Miao Jin, Xiaohu Guo
SMA
2010
ACM
204views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Topologically correct reconstruction of tortuous contour forests
Electrophysiological modeling of dendrites and other neurological processes is generally done in a simplified manner, by treating these structures as a series of cylinders (aka ca...
John Edwards, Chandrajit L. Bajaj
SMA
2010
ACM
177views Solid Modeling» more  SMA 2010»
13 years 11 months ago
Multi-level grid algorithms for faster molecular energetics
Bio-molecules reach their stable configuration in solvent which is primarily water with a small concentration of salt ions. One approximation of the total free energy of a bio-mol...
Rezaul Alam Chowdhury, Chandrajit L. Bajaj