Title :
New algorithms of multi-resolution editing of nurbs curves
Author :
Liu, Run-tao ; Gao, Xiao-shuang
Author_Institution :
Inst. of Inf. & Sci. Comput. Technol., Harbin Univ. of Sci. & Technol., Harbin
Abstract :
Non-uniform rational B-spline (NURBS) curve is an important mathematical tool in expressing the shapes of industry products. The wavelet decomposition and reconstruction of NURBS curves is an important part in the curves modeling. Wavelet decomposition and reconstruction of NURBS curves by using the semi-orthogonal B-spline wavelets and double-orthogonal B-spline wavelets are researched in this paper. The multi-resolution editing of integral order NURBS curves is given. And the multi-resolution decomposition algorithm of NURBS of arbitrary order and non-integral order NURBS curves is proposed.
Keywords :
splines (mathematics); wavelet transforms; multiresolution editing; nonuniform rational B-spline curve; wavelet decomposition; Algorithm design and analysis; Information analysis; Pattern analysis; Pattern recognition; Scientific computing; Spline; Surface reconstruction; Surface topography; Surface waves; Wavelet analysis; NURBS curves; algorithm; reconstruction; wavelet decomposition;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635888
