DocumentCode :
2863755
Title :
M-band subdivision of bivariate B-splines of uniform partition in three directions
Author :
Zhao, Yi-wu ; Han, Li-wen ; Zhou, Yun-shi
Author_Institution :
Inst. of Math., Jilin Univ., Changchun, China
fYear :
2004
fDate :
2004
Firstpage :
355
Lastpage :
358
Abstract :
In this paper, we mainly discuss the refinability of the bivariate B-splines of uniform partition in three directions. We construct the M- band refinement equations of bivariate B-splines of uniform partition in three directions in four spaces (S0-1 (Δ), S10 (Δ), S31 (Δ) and S42 (Δ), respectively) by modifying the definition of initial functions and taking Fourier transform on B-splines defined by convolution.
Keywords :
Fourier transforms; computational geometry; convolution; splines (mathematics); Fourier transform; M-band refinement equations; M-band subdivision; bivariate B-splines; initial functions; three directions; uniform partition; Convolution; Equations; Eyes; Fourier transforms; Information science; Mathematics; Mesh generation; Polynomials; Solid modeling; Spline;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
Type :
conf
DOI :
10.1109/GMAP.2004.1290059
Filename :
1290059
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2863755
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