eprintid: 11113
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/11/13
datestamp: 2023-11-10 03:25:39
lastmod: 2023-11-10 03:25:39
status_changed: 2023-11-10 01:14:31
type: conference_item
metadata_visibility: show
creators_name: Ali, F.A.M.
creators_name: Karim, S.A.A.
creators_name: Dass, S.C.
creators_name: Skala, V.
creators_name: Saaban, A.
creators_name: Hasan, M.K.
creators_name: Hashim, I.
title: Visualizing the Energy of Scattered Data by Using Cubic Timmer Triangular Patches
ispublished: pub
keywords: Coefficient of determination; Convex combinations; Delaunay algorithm; Irregular shape; Local schemes; Scattered data; Scattered data interpolation; Triangular patch, Physics
note: cited By 1; Conference of 2nd International Conference on Applied and Industrial Mathematics and Statistics 2019, ICoAIMS 2019 ; Conference Date: 23 July 2019 Through 25 July 2019; Conference Code:155273
abstract: This paper discusses the application of the new cubic Timmer triangular patches constructed by Ali et al. 1 to interpolate the irregularly scattered data with C 1 continuity. In order to apply the cubic Timmer triangular patches for scattered data interpolation, the data is first triangulated by using the Delaunay algorithm, and then the sufficient condition for C 1 continuity is derived along the adjacent triangles. Two methods will be used to calculate the cubic Timmer ordinates on each triangle. The convex combination between three local schemes Ti, i = 1,2,3 will be used to produce the C 1 surface everywhere. The proposed scheme will be tested to visualize one energy data set with irregular shape properties. Numerical and graphical results are presented by using MATLAB. Comparisons between the proposed scheme and existing schemes such as cubic Ball and cubic Bézier triangular patches are also carried out. The results indicate that the surface produced by cubic Timmer triangular patch is better than surface produced using cubic Ball and cubic Bezier triangular patches with overall coefficient of determination R2 value obtained to be larger than 0.9234. © Published under licence by IOP Publishing Ltd.
date: 2019
publisher: Institute of Physics Publishing
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076092164&doi=10.1088%2f1742-6596%2f1366%2f1%2f012098&partnerID=40&md5=10c9075090c2c352db487e4ff41da4bc
id_number: 10.1088/1742-6596/1366/1/012098
full_text_status: none
publication: Journal of Physics: Conference Series
volume: 1366
number: 1
refereed: TRUE
issn: 17426588
citation:   Ali, F.A.M. and Karim, S.A.A. and Dass, S.C. and Skala, V. and Saaban, A. and Hasan, M.K. and Hashim, I.  (2019) Visualizing the Energy of Scattered Data by Using Cubic Timmer Triangular Patches.  In: UNSPECIFIED.