23 September 1999 Fast point location with discrete geometry
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Abstract
In this paper we study point location of a regular 3D hexahedral grid. This is useful for applications that modelize wave propagation in a spatial 3D subdivision by the finite difference method. The current numerical solvers, like those employed in seismic wave propagation, can treat a billion points. It is thus necessary to resort to powerful localization methods in time. We propose a new particularly fast method based on results of discrete geometry. The principle of this method is based on a discretization of the faces of this 3D subdivision.
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Allan Fousse, Eric Andres, Jean Francon, Yves Bertrand, Dominique Rodrigues, "Fast point location with discrete geometry", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); doi: 10.1117/12.364096; https://doi.org/10.1117/12.364096
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KEYWORDS
3D modeling

Wave propagation

Data modeling

Computer simulations

3D image processing

Algorithms

Finite difference methods

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