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Published in 2017 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-015-0263-y
Abstract: Uniform approximation error estimates for weighted Shepard-type operators more flexible than the unweighted analogues are given. Error estimates for a linear combination of their iterates faster converging than previous ones are also showed. The results…
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Keywords:
type;
weighting shepard;
shepard type;
type operators ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020240
Abstract: For solving the problem of modeling and visualization of scattered data that should preserve some constraints, we use a modified Shepard type operator that is required to fulfill some special conditions, highlighting the symmetry with…
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Keywords:
type operator;
modeling visualization;
shepard type;
scattered data ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020398
Abstract: Progressive iterative approximation (PIA) technique is an efficient and intuitive method for data fitting. In CAGD modeling, if the given data points are taken as initial control points, PIA process generates a series of shaping…
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Keywords:
shepard type;
type curves;
iterative approximation;
progressive iterative ... See more keywords