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  • 1
    Electronic Resource
    Electronic Resource
    On the convergence rates of subdivision algorithms for box spline surfaces (1985)
    Springer
    Constructive approximation 1 (1985), S. 305-322 
    Details
    ISSN: 1432-0940
    Keywords: 41A15 ; Box spline ; Convergence rate ; Subdivision algorithms ; Control net
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Dahmen and Micchelli [8] have shown that in general the coefficients of the refined control nets of a box spline surface converge to the surface at (at least) the rate of the refinement. The purpose of this article is to show that under mild additional assumptions the convergence rate is even quadratic. Although this rate is in general best possible, we point out under what circumstances even higher rates are obtained (locally).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01890038
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