A shape-preserving variant of Lane-Riesenfeld algorithm

This paper introduces a family of shape-preserving binary approximating subdivision schemes by applying a shape-preserving variant on the Lane-Riesenfeld algorithm. Using the symbols of subdivision schemes, we determine convergence and smoothness, Hölder continuity, and support size of the limit cur...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 3; pp. 2152 - 2170
Main Authors Ashraf, Pakeeza, Mustafa, Ghulam, Khan, Husna A., Baleanu, Dumitru, Ghaffar, Abdul, Nisar, Kottakkaran Sooppy
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
lane-riesenfeld algorithm
shape preservation
smoothness
subdivision scheme
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Summary:This paper introduces a family of shape-preserving binary approximating subdivision schemes by applying a shape-preserving variant on the Lane-Riesenfeld algorithm. Using the symbols of subdivision schemes, we determine convergence and smoothness, Hölder continuity, and support size of the limit curves. Furthermore, these schemes produce monotonic and convex curves under the certain conditions imposed on the initial data.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021131