Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces | Zendy

YI Ye-qing | Zendy; Zixuan Tang | Zendy; Chengzhi Liu | Zendy

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Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces

Author(s) -

YI Ye-qing,

Zixuan Tang,

Chengzhi Liu

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5556771

Subject(s) - spectral radius , mathematics , rate of convergence , spline interpolation , interpolation (computer graphics) , tensor product , spline (mechanical) , iterative method , convergence (economics) , mathematical analysis , mathematical optimization , computer science , pure mathematics , physics , bilinear interpolation , animation , computer network , channel (broadcasting) , eigenvalues and eigenvectors , statistics , computer graphics (images) , quantum mechanics , economics , thermodynamics , economic growth

In order to improve the computational efficiency of data interpolation, we study the progressive iterative approximation (PIA) for tensor product extended cubic uniform B-spline surfaces. By solving the optimal shape parameters, we can minimize the spectral radius of PIA’s iteration matrix, and hence the convergence rate of PIA is accelerated. Stated numerical examples show that the optimal shape parameters make the PIA have the fastest convergence rate.

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