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- W2010432626 abstract "This paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of Box-Spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and verify the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:mrow></mml:math>continuity by calculating the eigenvalues of the 2-neighbor subdivision matrix. Compared with the loop subdivision scheme in previous references, the designed scheme can generate exact revolving surfaces and hold a stronger modeling capability because the subdivision matrix can update regularly with the iteration procedure. Finally, some examples are given to illustrate the effectiveness of the proposed method." @default.
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- W2010432626 date "2012-01-01" @default.
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- W2010432626 title "Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme" @default.
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