Construction and application of nine-Tic B-spline tensor product SS

Abdul Ghaffar; Mudassar Iqbal; Mehwish Bari; Sardar Muhammad Hussain; Raheela Manzoor; Kottakkaran Sooppy Nisar; Dumitru Baleanu

doi:10.3390/math7080675

Construction and application of nine-Tic B-spline tensor product SS

Abdul Ghaffar, Mudassar Iqbal, Mehwish Bari, Sardar Muhammad Hussain, Raheela Manzoor, Kottakkaran Sooppy Nisar, Dumitru Baleanu

Mathematics

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

25 Scopus citations

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.

Original language	English
Article number	675
Journal	Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3390/math7080675
State	Published - 2019

Keywords

Continuity
Laurent polynomial
Limit stencil
Subdivision scheme
Tensor product

Access to Document

10.3390/math7080675

Cite this

@article{19e9557bd75947a1b3ee36509bfaf61d,

title = "Construction and application of nine-Tic B-spline tensor product SS",

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.",

keywords = "Continuity, Laurent polynomial, Limit stencil, Subdivision scheme, Tensor product",

author = "Abdul Ghaffar and Mudassar Iqbal and Mehwish Bari and Hussain, \{Sardar Muhammad\} and Raheela Manzoor and Nisar, \{Kottakkaran Sooppy\} and Dumitru Baleanu",

note = "Publisher Copyright: {\textcopyright} 2019 by the authors.",

year = "2019",

doi = "10.3390/math7080675",

language = "English",

volume = "7",

journal = "Mathematics",

issn = "2227-7390",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "8",

}

TY - JOUR

T1 - Construction and application of nine-Tic B-spline tensor product SS

AU - Ghaffar, Abdul

AU - Iqbal, Mudassar

AU - Bari, Mehwish

AU - Hussain, Sardar Muhammad

AU - Manzoor, Raheela

AU - Nisar, Kottakkaran Sooppy

AU - Baleanu, Dumitru

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Continuity

KW - Laurent polynomial

KW - Limit stencil

KW - Subdivision scheme

KW - Tensor product

UR - http://www.scopus.com/inward/record.url?scp=85070471137&partnerID=8YFLogxK

U2 - 10.3390/math7080675

DO - 10.3390/math7080675

M3 - Article

AN - SCOPUS:85070471137

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 8

M1 - 675

ER -

Construction and application of nine-Tic B-spline tensor product SS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this