Details:
Title  Computing the orthogonal projection of rational curves onto rational parameterized surface by symbolic methods.  Author(s)  Zeng Zhonggang, Meng Zhou  Type  Book, Chapter in Book, Conference Proceeding  Abstract  This paper presents three algorithms to compute orthogonal projection of rational curves onto rational parameterized surface. One of them, based on regular systems, is able to compute the exact parametric loci of projection. The one based on Gröbner basis can compute the minimal variety that contains the parametric loci. The rest one computes a variety that contains the parametric loci via resultant. Examples show that our algorithms are efficient and valuable.  Keywords  Orthogonal projection, Point projection, Curve projection, Rational curve, Rational surface  ISBN  9783662441985/pbk 
URL 
http://link.springer.com/chapter/10.1007%2F9783662441992_41 
Language  English  Pages  261268  Publisher  Berlin: Springer  Year  2014  Edition  0  Translation 
No  Refereed 
No 
