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 and 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.
"Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme." Abstr. Appl. Anal. 2012 (SI10) 1 - 23, 2012. https://doi.org/10.1155/2012/264137