1,803 research outputs found
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method
The Immersed Boundary (IB) method is a widely-used numerical methodology for
the simulation of fluid-structure interaction problems. The IB method utilizes
an Eulerian discretization for the fluid equations of motion while maintaining
a Lagrangian representation of structural objects. Operators are defined for
transmitting information (forces and velocities) between these two
representations. Most IB simulations represent their structures with
piecewise-linear approximations and utilize Hookean spring models to
approximate structural forces. Our specific motivation is the modeling of
platelets in hemodynamic flows. In this paper, we study two alternative
representations - radial basis functions (RBFs) and Fourier-based
(trigonometric polynomials and spherical harmonics) representations - for the
modeling of platelets in two and three dimensions within the IB framework, and
compare our results with the traditional piecewise-linear approximation
methodology. For different representative shapes, we examine the geometric
modeling errors (position and normal vectors), force computation errors, and
computational cost and provide an engineering trade-off strategy for when and
why one might select to employ these different representations.Comment: 33 pages, 17 figures, Accepted (in press) by APNU
Data-driven quasi-interpolant spline surfaces for point cloud approximation
In this paper we investigate a local surface approximation, the Weighted
Quasi Interpolant Spline Approximation (wQISA), specifically designed for large
and noisy point clouds. We briefly describe the properties of the wQISA
representation and introduce a novel data-driven implementation, which combines
prediction capability and complexity efficiency. We provide an extended
comparative analysis with other continuous approximations on real data,
including different types of surfaces and levels of noise, such as 3D models,
terrain data and digital environmental data
Rational Cubic Ball Interpolants For Shape Preserving Curves And Surfaces
Interpolan pengekalan bentuk adalah satu teknik rekabentuk lengkung/ permukaan yang sangat penting dalam CAD/-CAM dan rekabentuk geometric
Shape preserving interpolation is an essential curve/surface design technique in CAD/CAM and geometric desig
Proceedings of the NASA Workshop on Surface Fitting
Surface fitting techniques and their utilization are addressed. Surface representation, approximation, and interpolation are discussed. Along with statistical estimation problems associated with surface fitting
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