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On particle path generation based on quadrilinear interpolation and Bernstein-Bezier polynomials

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3 Author(s)
Hamann, B. ; Dept. of Comput. Sci., California Univ., Davis, CA, USA ; Donghua Wu ; Moorhead, R.J.

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

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Visualization and Computer Graphics, IEEE Transactions on  (Volume:1 ,  Issue: 3 )