2022
DOI: 10.1007/s00371-022-02722-9
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A class of nonstationary interproximate subdivision algorithm for interpolating feature data points

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Cited by 2 publications
(2 citation statements)
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“…In connection with the design and application of non-stationary subdivision, there have been interesting works. In fact, apart from the non-stationary curve subdivision, like those in [2,3], there have been significant works on non-stationary surface subdivision. For this, Novara et al [4] proposed a non-stationary interpolatory scheme reproducing surfaces like the torus and the ellipsoid, which improves the smoothness and accuracy of the modified butterfly subdivision [5].…”
Section: Introductionmentioning
confidence: 99%
“…In connection with the design and application of non-stationary subdivision, there have been interesting works. In fact, apart from the non-stationary curve subdivision, like those in [2,3], there have been significant works on non-stationary surface subdivision. For this, Novara et al [4] proposed a non-stationary interpolatory scheme reproducing surfaces like the torus and the ellipsoid, which improves the smoothness and accuracy of the modified butterfly subdivision [5].…”
Section: Introductionmentioning
confidence: 99%
“…Zhao et al [16] obtained the conditions for preserving convexity and concavity for Bessel functions of the frst kind. By introducing local pushback operation, a brand-new interproximate subdivision framework is established which bridges the gap between interpolating schemes and approximating ones [17]. Convexity preservation of the ternary 6-point interpolating subdivision scheme has been presented in [18].…”
Section: Introductionmentioning
confidence: 99%