Abstract
We analyze three commonly used energy functions in solving Plateau-Mesh Problem, that is, Dirichlet, area, and the discrete mean curvature(DMC). They all possess unique advantages compared to others, but their drawbacks restrict their usages individually. Our algorithm combines the three steps together to make full use of their features. At first the Dirichlet energy is optimized for faster approximation with better topology. Then the area energy is used to come close to the constrained domain. Finally the DMC energy is engaged to achieve a better converging step. Results show that our method can work under a rather noisy initial mesh, which is even topologically different from the final result.
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