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Grinding of a triangular mesh in the problem of biharmonic optimization of complex surfaces

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In this paper, the method of grinding a triangular mesh for the biharmonic optimization of surfaces is proposed. The method provides an approximate equality of the lengths of the edges… Click to show full abstract

In this paper, the method of grinding a triangular mesh for the biharmonic optimization of surfaces is proposed. The method provides an approximate equality of the lengths of the edges of the mesh. The splitting of triangles relies on the properties of an inscribed circle. Issues of the triangles’ quality and the fulfillment of the Delaunay condition are considered.

Keywords: triangular mesh; biharmonic optimization; grinding triangular; mesh problem

Journal Title: Mathematical Models and Computer Simulations
Year Published: 2017

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