A Mathematica Package for Plotting Implicitly Defined Hypersurfaces in

Anto L.A.; Fiestas A.M.; Ojeda E.J.; Velezmoro R.; Ipanaqué R. · Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2020) · DOI: 10.1007/978-3-030-58802-1_9

Resumen

Plotting implicitly defined geometric objects is a very important topic on computer graphics, computer aided design and geometry processing. In fact, the most important computer algebra systems include sophisticated tools for plotting implicitly defined curves and surfaces. This paper describes a new Mathematica package, 4DPlots, for plotting implicitly defined hypersurfaces (solids) in using a generalization of the bisection method that is applied to continuous functions of four variables by recursive bisection of segments contained in their domain. The output obtained is consistent with Mathematica’s notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.

Instituciones: Universidad Nacional de Piura