Six-Point Subdivision Schemes with Cubic Precision
Joint Authors
Liu, Zhi
Shi, Jun
Zhang, Li
Tan, Jieqing
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper presents 6-point subdivision schemes with cubic precision.
We first derive a relation between the 4-point interpolatory subdivision and the quintic B-spline refinement.
By using the relation, we further propose the counterparts of cubic and quintic B-spline refinements based on 6-point interpolatory subdivision schemes.
It is proved that the new family of 6-point combined subdivision schemes has higher smoothness and better polynomial reproduction property than the B-spline counterparts.
It is also showed that, both having cubic precision, the well-known Hormann-Sabin’s family increase the degree of polynomial generation and smoothness in exchange of the increase of the support width, while the new family can keep the support width unchanged and maintain higher degree of polynomial generation and smoothness.
American Psychological Association (APA)
Shi, Jun& Tan, Jieqing& Liu, Zhi& Zhang, Li. 2018. Six-Point Subdivision Schemes with Cubic Precision. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206156
Modern Language Association (MLA)
Shi, Jun…[et al.]. Six-Point Subdivision Schemes with Cubic Precision. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1206156
American Medical Association (AMA)
Shi, Jun& Tan, Jieqing& Liu, Zhi& Zhang, Li. Six-Point Subdivision Schemes with Cubic Precision. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206156