Issue No.03 - September (1995 vol.1)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/2945.466716
<p><it>Abstract</it>—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-Bézier 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-Bézier polynomials are primarily used in geometric modeling, and their properties allow direct computation of points on a particle path.</p>
Approximation, Bernstein-Bézier polynomial, particle path, curvilinear grid, path line, scientific visualization, structured grid, trajectory, vector field.
Donghua Wu, Bernd Hamann, "On Particle Path Generation Based on Quadrilinear Interpolation and Bernstein-Bézier Polynomials", IEEE Transactions on Visualization & Computer Graphics, vol.1, no. 3, pp. 210-217, September 1995, doi:10.1109/2945.466716