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JMM2
2007
113views more  JMM2 2007»
13 years 4 months ago
Shape Morphing of Complex Geometries Using Partial Differential Equations
— An alternative technique for shape morphing using a surface generating method using partial differential equations is outlined throughout this work. The boundaryvalue nature th...
Gabriela González Castro, Hassan Ugail
VW
2009
Springer
130views Virtual Reality» more  VW 2009»
13 years 8 months ago
Towards a Definition of Virtual Objects Using Partial Differential Equations
—We propose an efficient alternative to commonly used parametric surfaces such as NURBS surfaces for definition of complex geometry in shared virtual spaces. Our mathematical mod...
Hassan Ugail, Gabriela González Castro, Ale...
VC
2010
143views more  VC 2010»
12 years 11 months ago
A PDE method for patchwise approximation of large polygon meshes
Abstract Three-dimensional (3D) representations of complex geometric shapes, especially when they are reconstructed from magnetic resonance imaging (MRI) and computed tomography (C...
Yun Sheng, Alexei Sourin, Gabriela González...
CAD
2004
Springer
13 years 4 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
BMCBI
2010
259views more  BMCBI 2010»
12 years 11 months ago
Rule-based spatial modeling with diffusing, geometrically constrained molecules
Background: We suggest a new type of modeling approach for the coarse grained, particle-based spatial simulation of combinatorially complex chemical reaction systems. In our appro...
Gerd Gruenert, Bashar Ibrahim, Thorsten Lenser, Ma...