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

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

810

Lastpage

814

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICWAPR.2008.4635888

Filename

4635888