首页|Non-stationary Subdivision for Exponential Polynomials Reproduction
Non-stationary Subdivision for Exponential Polynomials Reproduction
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In this paper we develop a novel approach to construct non-stationary subdivision schemes with a tension control parameter which can reproduce functions in a finite-dimensional subspace of exponential polynomials.The construction process is mainly implemented by solving linear systems for primal and dual subdivision schemes respectively,which are based on different parameterizations.We give the theoretical basis for the existence,uniqueness,and refinement rules of schemes proposed in this paper.The convergence and smoothness of the schemes are analyzed as well.Moreover,conics reproducing schemes are analyzed based on our theory,and a new idea that the tensor parameter ωk of the schemes can be adjusted for conics generation is proposed.
Non-stationary subdivisionexponential polynomialsdifference equationtension control
Bao-jun LI、Zhi-ling YU、Bo-wen YU、Zhi-xun SU、Xiu-ping LIU
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School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
NETL
NSTL
万方数据
维普
