Title :
An exact bound on regular Loop subdivision surface
Author :
Zhou, Guorong ; Zhang, Yuhua ; Shan, Mingming ; Wang, Youzhi ; Zhang, Yaohan ; Zeng, Xiao-Ming
Author_Institution :
Dept. of Math., Xiamen Univ., Xiamen, China
Abstract :
We propose an algorithm of region division and computations for the basis functions of regular Loop subdivision surface. By means of this algorithm we obtain an exact bound between regular Loop subdivision surface patch and its control mesh. The bound is given by maximum Euclidean norm of the first differences of the control vertices of the surface patch.
Keywords :
mesh generation; surface fitting; control vertices; maximum Euclidean norm; region division algorithm; regular loop subdivision surface basis function; regular loop subdivision surface patch exact bound; Cities and towns; Computers; Face; Polynomials; Spline; Basis functions; Bound; First difference of control vertices; Loop subdivision surface;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952499
