Non-stationary subdivision schemes for surface interpolation based on exponential polynomials

DOI10.1016/j.apnum.2009.10.005zbMath1195.65015OpenAlexW2014009653WikidataQ112880215 ScholiaQ112880215MaRDI QIDQ969307

Jungho Yoon, Yeon Ju Lee

Publication date: 6 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.10.005

zbMATH Keywords

interpolationconvergencespherestorusfittingcurvessmoothnesssurfacesapproximation ordercontrol pointsexponential polynomialnon-stationary subdivisionasymptotical equivalence

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

Approximation order and approximate sum rules in subdivision ⋮ Convergence analysis of regular dynamic Loop-like subdivision scheme ⋮ Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines ⋮ Improving smoothness and accuracy of modified butterfly subdivision scheme ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix ⋮ Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces ⋮ An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials ⋮ Non-stationary subdivision schemes: state of the art and perspectives

Cites Work

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