A New Class of 2q-Point Nonstationary Subdivision Schemes and Their Applications
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Date
2019
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Publisher
Mdpi
Open Access Color
GOLD
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Abstract
The main objective of this study is to introduce a new class of 2q-point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to find the continuity of the ANSSs. These schemes can be nicely generalized to contain local shape parameters that allow the user to locally adjust the shape of the limit curve/surface. Moreover, many existing approximating stationary subdivision schemes (ASSSs) can be obtained as nonstationary counterparts of the proposed ANSSs.
Description
Ullah, Dr. Zafar/0000-0002-5649-4500; Ghaffar, Abdul/0000-0002-5994-8440; Iqbal, Mudassar/0000-0003-2528-2174; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
Keywords
Stationary, Nonstationary, Subdivision Scheme, Continuity, Curvature And Torsion, stationary, nonstationary, curvature and torsion, QA1-939, subdivision scheme, continuity, Mathematics
Turkish CoHE Thesis Center URL
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Ghaffar, A...et al. (2019). "A New Class of 2Q-Point Nonstationary Subdivision Schemes and Their Applications",Mathematics, Vol. 7, No. 7.
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OpenCitations Citation Count
15
Source
Mathematics
Volume
7
Issue
7
Start Page
639
End Page
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CrossRef : 16
Scopus : 16
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16
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