Title: Polyhedral Modeling (G.P. Bonneau, S. Hahmann)
Abstract:
Polyhedral meshes are used for visualization, computer graphics or
geometric modeling purposes and result from many applications like iso-surface extraction,
surface reconstruction or CAD/CAM.
The present paper introduces a method for constructing smooth surfaces from
a triangulated polyhedral mesh of arbitrary topology. It presents a new
algorithm which generalizes and improves the triangle 4-split method [1]
in the crucial point of boundary curve network construction.
This network is then filled-in by a visual smooth surface from which an explicit
closed form parametrization is given. Furthermore, the
method becomes now completely local and can interpolate normal vector input at the
mesh vertices.
[1] S. Hahmann S., G.P. Bonnneau, Triangular G1 Interpolation by 4-splitting domain triangles,
Computer Aided Geometric Design, Volume 17, Issue 8, pp. 1-22, Sep. 2000.
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