Weighting Shepard-type operators
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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… read more here.
Keywords: type; weighting shepard; shepard type; type operators ... See more keywords
A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data
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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… read more here.
Keywords: type operator; modeling visualization; shepard type; scattered data ... See more keywords
New Progressive Iterative Approximation Techniques for Shepard-Type Curves
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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… read more here.
Keywords: shepard type; type curves; iterative approximation; progressive iterative ... See more keywords