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A new paradigm for increasing the continuity of subdivision schemes

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Title: A new paradigm for increasing the continuity of subdivision schemes

Authors: Ghulam Mustafa, Muhammad Asghar, Madiha Naveed

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2018

Volume: 14

Issue: 1

Language: English

Keywords: probability distributionContinuitySubdivision schemes

Categories
Computer Science (14978) Spline Theory (3) Algorithms (766) Computer Graphics (114) Mathematics (5170)

Abstract

Subdivision schemes having high continuity are always required for designing of smooth curves and surfaces. In this paper, we present a paradigm to generate a family of binary approximating subdivision schemes with high continuity based on probability distribution. The analysis and convexity preservation of some members of the family are also presented. Subdivision schemes give skewed behavior on convex data due to probability parameter.

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