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Construction and Application of Nine-Tic B-Spline Tensor Product Ss

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Date

2019

Journal Title

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Volume Title

Publisher

Mdpi

Open Access Color

GOLD

Green Open Access

No

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No
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Top 10%
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Abstract

In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features of the proposed SS such as continuity, polynomial generation, joint spectral radius, holder regularity and limit stencil. Some results of the SS using surface modeling with the help of computer programming are shown.

Description

Ghaffar, Abdul/0000-0002-5994-8440; Iqbal, Mudassar/0000-0003-2528-2174; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Bari, Mehwish/0000-0003-2652-0402

Keywords

Limit Stencil, Tensor Product, Subdivision Scheme, Continuity, Laurent Polynomial, limit stencil, QA1-939, tensor product, Laurent polynomial, subdivision scheme, continuity, Mathematics, limit stencil; tensor product; subdivision scheme; continuity; Laurent polynomial

Turkish CoHE Thesis Center URL

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Ghaffar, Abdul...et al. (2019). "Construction and Application of Nine-Tic B-Spline Tensor Product SS", Mathematics, Vol. 7, No. 8.

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OpenCitations Citation Count
22

Source

Mathematics

Volume

7

Issue

8

Start Page

675

End Page

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Citations

CrossRef : 23

Scopus : 25

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Mendeley Readers : 10

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3.2271841

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10

REDUCED INEQUALITIES
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11

SUSTAINABLE CITIES AND COMMUNITIES
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