D.S.I. constraints with the G-Map topological model : The Fuzzy Control Point Constraint

in: 20th gOcad Meeting, ASGA

Abstract

In the old topological approach of gOcad, there is no distinction between the way a surface is connected to neighboring surfaces and the way it is decomposed into elementary elements called cells (vertices, edges, polygons, ...). With the new topological kernel of gOcad, all these notions are completely independent. This results in a gain of generality when defining algorithms acting on the topology of an object. In this context, the scope of applications using the DSI method is very wide, and the proposed Fuzzy Control Point constraint (F.C.P.) will allow to fit a polygonal facetted surface (PSurf) to a set of points. For that purpose, we will have to deal principally with intersections on PSurfs and barycentric coordinates in polygons (with any number of vertices).

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    BibTeX Reference

    @inproceedings{LepageRM2000,
     abstract = { In the old topological approach of gOcad, there is no distinction between the way a surface is connected to neighboring surfaces and the way it is decomposed into elementary elements called cells (vertices, edges, polygons, ...). With the new topological kernel of gOcad, all these notions are completely independent. This results in a gain of generality when defining algorithms acting on the topology of an object. In this context, the scope of applications using the DSI method is very wide, and the proposed Fuzzy Control Point constraint (F.C.P.) will allow to fit a polygonal facetted surface (PSurf) to a set of points. For that purpose, we will have to deal principally with intersections on PSurfs and barycentric coordinates in polygons (with any number of vertices). },
     author = { Lepage, François AND Grosse, Olivier },
     booktitle = { 20th gOcad Meeting },
     month = { "june" },
     publisher = { ASGA },
     title = { D.S.I. constraints with the G-Map topological model : The Fuzzy Control Point Constraint },
     year = { 2000 }
    }