A new class of 2q-point nonstationary subdivision schemes and their applications

Abdul Ghaffar; Mehwish Bari; Zafar Ullah; Mudassar Iqbal; Kottakkaran Sooppy Nisar; Dumitru Baleanu

doi:10.3390/math7070639

A new class of 2q-point nonstationary subdivision schemes and their applications

Abdul Ghaffar
, Mehwish Bari
, Zafar Ullah
, Mudassar Iqbal
, Kottakkaran Sooppy Nisar
, Dumitru Baleanu

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English
Article number	639
Journal	Mathematics
Volume	7
Issue number	7
DOIs	https://doi.org/10.3390/math7070639
State	Published - 1 Jul 2019

Keywords

Continuity
Curvature and torsion
Nonstationary
Stationary
Subdivision scheme

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10.3390/math7070639

Cite this

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title = "A new class of 2q-point nonstationary subdivision schemes and their applications",

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.",

keywords = "Continuity, Curvature and torsion, Nonstationary, Stationary, Subdivision scheme",

author = "Abdul Ghaffar and Mehwish Bari and Zafar Ullah and Mudassar Iqbal and Nisar, \{Kottakkaran Sooppy\} and Dumitru Baleanu",

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AU - Ghaffar, Abdul

AU - Bari, Mehwish

AU - Ullah, Zafar

AU - Iqbal, Mudassar

AU - Nisar, Kottakkaran Sooppy

AU - Baleanu, Dumitru

PY - 2019/7/1

Y1 - 2019/7/1

N2 - 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.

AB - 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.

KW - Continuity

KW - Curvature and torsion

KW - Nonstationary

KW - Stationary

KW - Subdivision scheme

UR - https://www.scopus.com/pages/publications/85070756563

U2 - 10.3390/math7070639

DO - 10.3390/math7070639

M3 - Article

AN - SCOPUS:85070756563

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 7

M1 - 639

ER -

A new class of 2q-point nonstationary subdivision schemes and their applications

Abstract

Keywords

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