Title :
What order Taylor model is sufficient for subdivision based implicit curve plotting
Author :
Shou, Huahao ; Shen, Jie ; Yoon, David
Author_Institution :
Dept. of Appl. Math., Zhejiang Univ. of Technol., China
Abstract :
In this paper, we conducted some well chosen experimental tests to determine what order is sufficient for Taylor model applied in subdivision based implicit curve plotting algorithm. Test results show that order 1 is sufficient for most test examples with simple expressions, and some more complicated test examples need order 2 or 3. Order 3 is sufficient for all test examples we tested.
Keywords :
computational complexity; Taylor model; subdivision based implicit curve plotting; Application software; Arithmetic; Computational modeling; Computer graphics; Differential algebraic equations; Information science; Mathematical model; Mathematics; Physics; Testing;
Conference_Titel :
Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on
Print_ISBN :
0-7695-2473-7
DOI :
10.1109/CAD-CG.2005.88
