M-band subdivision of bivariate B-splines of uniform partition in three directions
GMP（2004）
摘要
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.
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关键词
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
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