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void polarize_mesh(HMesh::Manifold& m, HMesh::VertexAttributeVector<float>& fun, float vmin, float vmax, const int divisions);

void polarize_mesh(HMesh::Manifold& m, HMesh::VertexAttributeVector<double>& fun, double vmin, double vmax, const int divisions, HMesh::VertexAttributeVector<double>& parametrization);

void make_height_fun(const HMesh::Manifold& m, HMesh::VertexAttributeVector<float>& fun, 

void make_height_fun(const HMesh::Manifold& m, HMesh::VertexAttributeVector<double>& fun, 

                     float& vmin, float &vmax);

                     double& vmin, double &vmax);