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    Adaptive Enumeration of Implicit Surfaces with Affine Arithmetic
    (Blackwell Science Ltd and the Eurographics Association, 1996) de Figueiredo, Luiz Henrique; Stolfi, Jorge
    We 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.