A New Class of 2Q-Point Nonstationary Subdivision Schemes and Their Applications
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Date
2019
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MDPI AG
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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
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Continuity, Curvature and Torsion, Nonstationary, Nonstationary, Subdivision Scheme
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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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Source
Mathematics
Volume
7
Issue
7