Title :
The construction of sets made by Bézier curves
Author :
Xue, Wei ; Xi, Ping ; Wang, Yiduo
Author_Institution :
Sch. of Mech. Eng. & Autom., BeiHang Univ., Beijing, China
Abstract :
Based on the former work about the variable upper limit integral of Bézier curve, the construction of the set made by all the degree n Bézier curves will be studied. Furthermore, for different degree n, the sets of the corresponding Bézier curves could build a construction like pyramid.
Keywords :
computational geometry; set theory; Bézier curves; pyramid; set construction; variable upper limit integral; Aerospace electronics; Computer aided manufacturing; Design automation; Educational institutions; Equations; Integral equations; Vectors; Bézier curve; congruence relation; equivalent class; equivalent relation; integral operator;
Conference_Titel :
Systems and Informatics (ICSAI), 2012 International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4673-0198-5
DOI :
10.1109/ICSAI.2012.6223475
