Smooth triangulated surfaces: G continuity for ray-tracing

David Segonds and Jean-Laurent Mallet and Bruno Levy. ( 1997 )
in: 15th gOcad Meeting, ASGA

Abstract

Geophysical applications such as ray-tracing modeling require surfaces to respect at least al continuity (i.e. tangent plane continuity). We present here a method for building a piecewise G' surface, composed of triangular Gregory patches, from a triangulated surface. The patches of the resulting surface are curvilinear triangles in a one-ta-one correspondence with triangles of the original triangulated surface. Each patch interpolates the three corners of its corresponding triangle. Moreover, this method can take into account various types of user defined constraints 50 as to make, for instance, the surface passing through given points or triangulation vertices belonging to given lines.

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    BibTeX Reference

    @inproceedings{SegondsRM1997a,
 abstract = { Geophysical applications such as ray-tracing modeling require surfaces to respect at least al continuity (i.e. tangent plane continuity). We present here a method for building a piecewise G' surface, composed of triangular Gregory patches, from a triangulated surface. The patches of the resulting surface are curvilinear triangles in a one-ta-one correspondence with triangles of the original triangulated surface. Each patch interpolates the three corners of its corresponding triangle. Moreover, this method can take into account various types of user defined constraints 50 as to make, for instance, the surface passing through given points or triangulation vertices belonging to given lines. },
 author = { Segonds, David AND Mallet, Jean-Laurent AND Levy, Bruno },
 booktitle = { 15th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Smooth triangulated surfaces: G continuity for ray-tracing },
 year = { 1997 }
}