We propose a new method to compute planar triangulations of triangulated surfaces for surface parameterization. Our method computes a projection that minimizes the distortion of the surface metric structures (lengths, angles, etc.). It can handle any manifold surface, including surfaces with large curvature gradients and non-convex domain boundaries. We use only the necessary and sufficient constraints for a valid two-dimensional triangulation. As a result, the existence of a theoretical solution to the minimization procedure is guaranteed.
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- Peters J and Karčiauskas K An introduction to guided and polar surfacing Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces, (299-315)
- Biermann H, Martin I, Bernardini F and Zorin D Cut-and-paste editing of multiresolution surfaces Proceedings of the 29th annual conference on Computer graphics and interactive techniques, (312-321)
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