@article{fig-sto-96-aa-impl, author = {Luiz H. {de Figueiredo} and Jorge Stolfi}, title = {Adaptive Enumeration of Implicit Surfaces with Affine Arithmetic}, journal = {Computer Graphics Forum}, volume = {15}, number = {5}, pages = {287--296}, year = 1996, month = dec, doi = {10.1111/1467-8659.00658}, issn = {0167-7055}, citations = {WoS/2021: 33}, altkeys = {Figueiredo-Stolfi-96,fig-sto-96-imp}, abstract = {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.} }