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The Quick Measure of a Nurbs Surface Curvature for Accurate Triangular Meshing

Abstrakt

NURBS surfaces are the most widely used surfaces for three-dimensional models in CAD/CAE programs. As a model for FEM calculation is prepared with a CAD program it is inevitable to mesh it finally. There are many algorithms for meshing planar regions. Some of them may be used for meshing surfaces but it is necessary to take the curvature of the surface under consideration to avoid poor quality mesh. The mesh must be denser in the curved regions of the surface. Instead of analysing a surface curvature, the method to assess how close is a mesh triangle to the surface to which its vertices belong is presented in this paper. The distance between a mesh triangle and a parallel tangent plane through a point on a surface is the measure of the triangle quality. Finding the surface point which projection is located inside the mesh triangle and which is the tangency point to the plane parallel to this triangle is an optimization problem. Mathematic description and the algorithm to find the solution are presented in the paper.

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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
Polish Maritime Research nr 21, strony 41 - 44,
ISSN: 1233-2585
Język:
angielski
Rok wydania:
2014
Opis bibliograficzny:
Kniat A.: The Quick Measure of a Nurbs Surface Curvature for Accurate Triangular Meshing// Polish Maritime Research. -Vol. 21, iss. 2 (2014), s.41-44
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.2478/pomr-2014-0017
Weryfikacja:
Politechnika Gdańska

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