Abstract: In order to efficiently generate high-quality quad meshes from implicit surfaces, this paper introduces a GPU-based high-quality quadrangulation method for implicit surfaces. Our method contains two stages: an extraction stage and an optimization stage. We first extract a coarse quad mesh from an input implicit surface, and then optimize the geometry（vertex position and normal） and regularity（vertex distribution and connection） of the quad mesh. Experiments show that our method can greatly improve the performance of quadrangulation while achieving a quad mesh with low errors.