A package to compute implicit equations for rational curves and surfaces
Shanshan Yao 1,2 , Yifei Feng 2 , Xiaohong Jia 1,2 , Li-Yong Shen 2∗
1 KLMM, Academy of Mathematics and Systems Sciences, CAS, 100190, Beijing, China
2 School of Mathematical Sciences, University of CAS,100049, Beijing, China
Implicit is a package for implicitizing rational planar curves and rational tensor product surfaces, developed on Maplesoft based on the state-of-the-art implicitization techniques. The main functions ImpCurve and ImpSurface return the implicit equation of a rational planar curve or a rational tensor product surface. Other popularly used functions, such as ImpDegree, ImpMatrix and ImpRuled that are used for deciding the implicit degree and the implicit matrix of a general rational surface, and computing the implicit equation of a rational ruled surface in a more efficient way, are also proposed.