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SMOOTHING OF COMPLEX SURFACE TRIANGULATIONS WITH EFFICIENT LOCAL NODE MOVEMENTS

This work presents a new method for quality improvement of a given surface triangulation maintaining its topology and controlling the surface approximation. The main advantage is the transformation of the 3-D problem into 2-D local parametric ones without constraints. So, the local objective function, which is defined by using algebraic quality measures, contains a barrier which automatically prevents the method from constructing unacceptable meshes. Besides, the proposed method has only one free parameter which controls the gap between the optimized mesh and the reference surface.