Title
M-band subdivision of bivariate B-splines of uniform partition in three directions
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.
Year
DOI
Venue
2004
10.1109/GMAP.2004.1290059
GMP
Keywords
DocType
ISBN
fourier transforms,initial functions,m-band subdivision,fourier transform,bivariate b-splines,convolution,uniform partition inthree direction,computational geometry,band refinementequations,definition ofinitial function,m-band refinement equations,refinability ofthe bivariate b-splines,three directions,splines (mathematics),uniform partition,spline,mathematics,information science,polynomials,mesh generation,solid modeling
Conference
0-7695-2078-2
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Yi-wu Zhao100.34
Li-wen Han281.77
Yun-shi Zhou300.34