Title :
Conformal geometric algebra for spherical convex hull
Author :
Zhang, Xuehui ; Ma, Li
Author_Institution :
Sch. of Comput. & Commun. Engneering, China Univ. of Pet., Dongying, China
Abstract :
For a given number of points on the plane, find a minimum set of points even as a convex polygon, which is one of the classic problems of computational geometry. The traditional method is to determine the relationship between point and polygon, the algorithm is less efficient. Based on the research of traditional algorithm ,analysis of one-step, and puts forward the use of conformal geometric algebra to the problem of solving spherical convex optimization. Geometric algebra can determine optimal point and polygon point for judging the position circle relationship with that simple and high efficiency.
Keywords :
algebra; computational geometry; convex programming; computational geometry; conformal geometric algebra; convex polygon; optimal point determination; polygon point determination; spherical convex hull; spherical convex optimization; Algebra; Algorithm design and analysis; Computers; Educational institutions; Information processing; Pattern recognition; Petroleum; Conformal Geometric Algebra; Convex Polygon; One Shot; Spherical Convex Hull;
Conference_Titel :
Computer Science and Service System (CSSS), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9762-1
DOI :
10.1109/CSSS.2011.5974839