|Title||On Particle Path Generation Based on Quadrilinear Interpolation and Bernstein-Bezier Polynomials
|in||IEEE Transactions on Visualization and Computer Graphics|
Bernd Hamann, D. Wu, Robert J. Moorhead |
|Keyword(s)||Approximation, Bernstein-Bezier polynomial, particle path, curvilnear grid, path line, scientific visualization, structured grid, trajectory, vector field|
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 primarily used in geometric modeling, and their properties allow direct computation of points on a particle path.