eprintid: 15993 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/59/93 datestamp: 2023-11-10 03:30:37 lastmod: 2023-11-10 03:30:37 status_changed: 2023-11-10 02:00:56 type: article metadata_visibility: show creators_name: Iqbal, M. creators_name: Karim, S.A.A. creators_name: Sarfraz, M. title: Construction and Application of Septic B-Spline Tensor Product Scheme ispublished: pub note: cited By 1 abstract: The subdivision schemes have already considered as a fundamental research part of CAGD for the aim of curve shaping. A lot of work has been done in this famous research area of CAGD. Due to the high demand for curve and surface modeling in the industry, subdivision schemes show a very efficient and fast enough method to produce the smooth curves in this regard. Various properties and their applications have also introduced in this significant research field. Subdivision algorithms have this significant because of its simplicity, flexibility and easy to apply. In this paper, we propose and analyze a tensor product of Septic B-spline subdivision scheme. Some essential features of proposed scheme have discussed here like continuity, polynomial generation and holder regularity. Some results of the scheme have been shown using surface modeling with the help of computer programming. © 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. date: 2021 publisher: Springer Science and Business Media Deutschland GmbH official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85093866183&doi=10.1007%2f978-981-15-8606-4_7&partnerID=40&md5=202aa620acaeb2366ee75cb02eb8e824 id_number: 10.1007/978-981-15-8606-4₇ full_text_status: none publication: Studies in Systems, Decision and Control volume: 320 pagerange: 101-120 refereed: TRUE issn: 21984182 citation: Iqbal, M. and Karim, S.A.A. and Sarfraz, M. (2021) Construction and Application of Septic B-Spline Tensor Product Scheme. Studies in Systems, Decision and Control, 320. pp. 101-120. ISSN 21984182