de Figueiredo, Luiz HenriqueStolfi, Jorge2014-10-212014-10-2119961467-8659https://doi.org/10.1111/1467-8659.1550287We discuss adaptive enumeration and rendering methods for implicit surfaces, using octrees computed with affine arithmetic, a new tool for range analysis. Affine arithmetic is similar to standard interval arithmetic, but takes into account correlations between operands and sub-formulas, generally providing much tighter bounds for the computed quantities. The resulting octrees are accordingly much smaller, and the rendering faster.10.1111/1467-8659.1550287287-296