Issue No. 03 - September (1995 vol. 1)

ISSN: 1077-2626

pp: 210-217

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/2945.466716

ABSTRACT

<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>

INDEX TERMS

Approximation, Bernstein-Bézier polynomial, particle path, curvilinear grid, path line, scientific visualization, structured grid, trajectory, vector field.

CITATION

Robert J. Moorhead II, 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. , pp. 210-217, September 1995, doi:10.1109/2945.466716