DYN N., LEVIN D.: Subdivision schemes in geometric modelling. Acta Numerica 12 (2002), 73--144. Home/Search Document Details and Download
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A Family of 4-Point Dyadic Multistep Subdivision Schemes - Lemire (2002) (Correct)
....by PJ X(z) rx(z)P (z 2) r2(z)P ( z 2) is c if the symbol corresponding to nite differences of order n 1, dH ( z) 2 ( PJ (z) is the symbol of a multistep scheme converging uniformly zn l to zero for all bounded initial data. Prooff See the proof of Theorem 3.4 in [8] or Section 4. 2 in [10] as it applies to multistep schemes. The key point is that for an iterative interpolation scheme (even a nonstationary one) to be C , it is sufficient for the finite differences d Xyj, dxj) to converge uniformly to zero. In general, given Yj i,I = ke ff2k lYj,k, a sufficient condition for yj, 0 ....
N. Dyn, D. Levin, Subdivision schemes in geometric modelling, Acta Numerica 12 (2002), 1-72.
Meshless Geometric Subdivision - Moenning, Memoli, Sapiro, Dyn.. (2004) Self-citation (Dyn) (Correct)
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DYN N., LEVIN D.: Subdivision schemes in geometric modelling. Acta Numerica 12 (2002), 73--144.
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N. Dyn and D. Levin. Subdivision schemes in geometric modelling. Acta Numerica, 11:73--144, 2002.
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N. Dyn and D. Levin, Subdivision schemes in geometric modelling, Acta Numerica, to appear.
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