Abstract: The paper presents a novel approach for accurate polygonization of implicit surfaces with sharp features. The approach is based on mesh evolution toward a given implicit surface with simultaneous control of the mesh vertex positions and mesh normals. Given an initial polygonization of an implicit surface, a mesh evolution process initialized by the polygonization is used. The evolving mesh converges to a limit mesh which delivers a high-quality approximation of the implicit surface. For analyzing how close the evolving mesh approaches the implicit surface, we use two error metrics: the metrics measure deviations of the mesh vertices from the implicit surface and deviations of mesh normals from the normals of the implicit surface.