DSI Constraint to Approximate Data Using G1 Surfaces

David Segonds and Chakib Bennis and Jean-Laurent Mallet. ( 1997 )
in: 16th gOcad Meeting (Dallas), ASGA

Abstract

Geophysical applications, such as raytracing, needs to use surfaces which are at least G1 (tangent plane continuity). We are presenting here a method to build such surfaces composed of Gregory triangles from GOCAD triangulated surfaces. Patches of the resulting surface are in one to one correspondence with the triangles of the original surface. Each triangle interpolates the three corners of the original triangle. Moreover. this method can take into account user defined constraints. For example, we will show here (Section 3.0) how we can approximate data points wlùle keeping the G1 continuity.

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    BibTeX Reference

    @inproceedings{SegondsRM1997c,
     abstract = { Geophysical applications, such as raytracing, needs to use surfaces which are at least G1 (tangent plane continuity). We are presenting here a method to build such surfaces composed of Gregory triangles from GOCAD triangulated surfaces. Patches of the resulting surface are in one to one correspondence with the triangles of the original surface. Each triangle interpolates the three corners of the original triangle. Moreover. this method can take into account user defined constraints. For example, we will show here (Section 3.0) how we can approximate data points wlùle keeping the G1 continuity. },
     author = { Segonds, David AND Bennis, Chakib AND Mallet, Jean-Laurent },
     booktitle = { 16th gOcad Meeting (Dallas) },
     month = { "november" },
     publisher = { ASGA },
     title = { DSI Constraint to Approximate Data Using G1 Surfaces },
     year = { 1997 }
    }