Convergence analysis of regular dynamic Loop-like subdivision scheme
Summary: 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 to verify the \(C^0\) and \(C^1\) 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.
scientific article; zbMATH DE number 6134049
scientific article