Search results for "animace"

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Chebyshev’s Method on Projective Fluids

2020

We demonstrate the acceleration potential of the Chebyshev semi-iterative approach for fluid simulations in Projective Dynamics. The Chebyshev approach has been successfully tested for deformable bodies, where the dynamical system behaves relatively linearly, even though Projective Dynamics, in general, is fundamentally nonlinear. The results for more complex constraints, like fluids, with a particular nonlinear dynamical system, remained unknown so far. We follow a method describing particle-based fluids in Projective Dynamics while replacing the Conjugate Gradient solver with Chebyshev’s method. Our results show that Chebyshev’s method can be successfully applied to fluids and potentially…

Conjugate gradient solverComputer sciencesimulace tekutinanimationAcceleration (differential geometry)02 engineering and technologyDynamical systemChebyshev filternonlinear optimization0202 electrical engineering electronic engineering information engineeringanimaceProjective testnelineární optimalizaceprojektivní dynamikaconstraint-based simulationsimulace založená na omezeníMathematical analysis020207 software engineeringComputer Graphics and Computer-Aided DesignComputational MathematicsNonlinear systemprojective dynamicsParticle020201 artificial intelligence & image processingfluid simulationProjective dynamicsSoftware
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Reverse Catmull-Clark Subdivision

2006

Reverse subdivision consists in constructing a coarse mesh of a model from a finer mesh of this same model. In this paper, we give formulas for reverse Catmull-Clark subdivision. These formulas allow the constructing of a coarse mesh for almost all meshes. The condition for being able to apply these formulas is that the mesh to be reversed must be generated by the subdivision of a coarse mesh. Except for this condition, the mesh can be arbitrary. Vertices can be regular or extraordinary and the mesh itself can be arbitrary (triangular, quadrilateral…).

subdivision surfacesComputer Science::Graphicsmultiresolutionmultirozlišenídělené plochyanimationMathematicsofComputing_NUMERICALANALYSISanimaceCatmull-Clark schemeCatmull-Clarckovo schémaComputer Science::DatabasesComputingMethodologies_COMPUTERGRAPHICSMathematics::Numerical Analysis
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