Abstract
In this paper, we propose an elegant strategy for constructing a family of binary univariate subdivision schemes, starting with two binary schemes. The members of the proposed family of schemes are categorized by a parameter, for even and odd values of this parameter resulting schemes are primal and dual in nature respectively. It is shown that the new resulting schemes have higher smoothness and Hölder exponents while less magnitude of artifacts as compared to their parent binary schemes. It is further noticed that resulting schemes have cubic polynomial reproducing property. Support of basic limit function of proposed schemes is discussed. Limit stencil and artifact analysis are also carried out. Numerical study shows that proposed family of schemes is free from Gibbs phenomenon.
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Acknowledgments
We thank the anonymous reviewers whose valuable comments greatly improved this paper. This work is supported by Indigenous PhD Scholarship Scheme of Higher Education Commission (HEC) Pakistan.
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Mustafa, G., Ashraf, P. & Aslam, M. Binary univariate dual and primal subdivision schemes. SeMA 65, 23–35 (2014). https://doi.org/10.1007/s40324-014-0017-6
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DOI: https://doi.org/10.1007/s40324-014-0017-6