eprintid: 9070 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/90/70 datestamp: 2023-11-09 16:21:01 lastmod: 2023-11-09 16:21:01 status_changed: 2023-11-09 16:14:12 type: article metadata_visibility: show creators_name: Abdul Karim, S.A. creators_name: Saaban, A. title: Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation ispublished: pub keywords: Constraint theory; Interpolation; Tensors, Data dependent; Image interpolations; Interpolants; ITS applications; Monotonicity; Shape-preserving; Shape-preserving interpolation; Tensor products, Rational functions note: cited By 7 abstract: New rational cubic Ball interpolation with one parameter is proposed for shape preserving interpolation such as positivity, monotonicity, and convexity preservations and constrained data lie on the same side of the given straight line. To produce shape preserving interpolant, the data dependent sufficient condition is derived on the parameter. The rational bicubic Ball function is constructed by using tensor product approach and it will be used for application in image upscaling. Numerical and graphical results are presented by using Mathematica and MATLAB including comparison with some existing scheme. © 2017 Samsul Ariffin Abdul Karim and Azizan Saaban. date: 2017 publisher: Hindawi Limited official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85042761647&doi=10.1155%2f2017%2f7459218&partnerID=40&md5=9f9ea707e037d4923338d8d2f1801cea id_number: 10.1155/2017/7459218 full_text_status: none publication: Mathematical Problems in Engineering volume: 2017 refereed: TRUE issn: 1024123X citation: Abdul Karim, S.A. and Saaban, A. (2017) Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation. Mathematical Problems in Engineering, 2017. ISSN 1024123X