A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme
Joint Authors
Al Qurashi, Maysaa’ Mohamed
Baleanu, Dumitru
Hameed, Rabia
Liaqat, Amina
Chu, Yu-Ming
Mustafa, Ghulam
Khan, Fahim
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-07
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme.
The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters.
We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically.
We also extend the new derived scheme into its bivariate/tensor product version.
This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up to C3 continuity.
American Psychological Association (APA)
Hameed, Rabia& Mustafa, Ghulam& Liaqat, Amina& Baleanu, Dumitru& Khan, Fahim& Al Qurashi, Maysaa’ Mohamed…[et al.]. 2020. A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1196524
Modern Language Association (MLA)
Hameed, Rabia…[et al.]. A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme. Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1196524
American Medical Association (AMA)
Hameed, Rabia& Mustafa, Ghulam& Liaqat, Amina& Baleanu, Dumitru& Khan, Fahim& Al Qurashi, Maysaa’ Mohamed…[et al.]. A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1196524
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196524