A Shape-Preserving Variant of Lane-Riesenfeld Algorithm
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Average
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Average
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Top 10%
Abstract
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, Holder 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.
Description
Ghaffar, Abdul/0000-0002-5994-8440; Mustafa, Ghulam/0000-0002-0441-8485
Keywords
Lane-Riesenfeld Algorithm, Subdivision Scheme, Smoothness, Shape Preservation, Economics, Computational Mechanics, FOS: Mechanical engineering, Geometry, Mathematical analysis, Engineering, QA1-939, FOS: Mathematics, Civil engineering, subdivision scheme, Isogeometric Analysis in Computational Engineering, Advanced Monitoring of Machining Operations, Economic growth, Arithmetic, Mechanical Engineering, lane-riesenfeld algorithm, Mathematical optimization, Shape Optimization, Limit (mathematics), Smoothness, Computer science, Algorithm, Regular polygon, Physical Sciences, Convergence (economics), Subdivision, Surface Texturing for Tribology, smoothness, shape preservation, Binary number, Monotonic function, Mathematics, FOS: Civil engineering, Numerical computation using splines, Computer-aided design (modeling of curves and surfaces), Lane-Riesenfeld algorithm, Numerical aspects of computer graphics, image analysis, and computational geometry
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Ashraf, Pakeeza...et al. (2021). "A shape-preserving variant of Lane-Riesenfeld algorithm", AIMS Mathematics, Vol. 6, No. 3, pp. 2152-2170.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
4
Source
AIMS Mathematics
Volume
6
Issue
3
Start Page
2152
End Page
2170
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Citations
Scopus : 5
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Mendeley Readers : 3
SCOPUS™ Citations
5
checked on Feb 23, 2026
Web of Science™ Citations
4
checked on Feb 23, 2026
Page Views
2
checked on Feb 23, 2026
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