An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence
Journal of Computational Physics
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Interactive numerical flow visualization using stream surfaces
Interactive numerical flow visualization using stream surfaces
Focus on Scientific Visualization
Practicle Tracing Algorithms for 3D Curvilinear Grids
Scientific Visualization, Overviews, Methodologies, and Techniques
A 3-D streamline tracking algorithm using dual stream functions
VIS '92 Proceedings of the 3rd conference on Visualization '92
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
Visualization of time-dependent flow fields
VIS '93 Proceedings of the 4th conference on Visualization '93
A probe for local flow field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualization of turbulent flow with particles
VIS '93 Proceedings of the 4th conference on Visualization '93
VIS '93 Proceedings of the 4th conference on Visualization '93
Cloud tracing in convection-diffusion systems
VIS '93 Proceedings of the 4th conference on Visualization '93
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Visualization of water quality data for the Chesapeake Bay
Proceedings of the 7th conference on Visualization '96
Efficient Streamline, Streamribbon, and Streamtube Constructions on Unstructured Grids
IEEE Transactions on Visualization and Computer Graphics
CoDIMS-G: a data and program integration service for the grid
MGC '04 Proceedings of the 2nd workshop on Middleware for grid computing
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Particle path computation in unsteady 3D vector fields given in discrete, structured form (i.e., as a hexahedral curvilinear grid) requires the local approximation of the vector field and the path. Quadrilinear interpolation and Bernstein-Bezier polynomials are used for the local vector field and path approximation. The next point in a sequence of points on a particle path is computed using this local approximation. Bernstein-Bezier polynomials are primarily used in geometric modeling, and their properties allow direct computation of points on a particle path