Hass, JoelTrnkova, MariaJacobson, Alec and Huang, Qixing2020-07-052020-07-0520201467-8659https://doi.org/10.1111/cgf.14066https://diglib.eg.org:443/handle/10.1111/cgf14066We describe a new method for approximating an implicit surface F by a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral. The main advantage is improved mesh quality which is guaranteed for smooth surfaces. The GradNormal algorithm generates a triangular mesh that gives a piecewise-differentiable approximation of F, with angles between 35.2 and 101.5 degrees. As the mesh size approaches 0, the mesh converges to F through surfaces that are isotopic to F.Attribution 4.0 International LicenseI.3.5 [Computational Geometry and Object Modeling]Curvesurfacesolidand object representations10.1111/cgf.1406629-40