Surface Reconstruction Using Rational Quartic Triangular Spline

Reconstruction a smooth surface from non-uniform points is a major challenge in many areas. This paper discusses C1 surface scattered data interpolation using rational quartic triangular patches with two different existing convex combination. In order to achieve C1 continuity, we apply a rational...

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Main Authors: Draman, N.N.C., Abdul Karim, S.A., Hashim, I., Ping, Y.W.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.29266 /
Published: Springer Science and Business Media B.V. 2021
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123300486&doi=10.1007%2f978-981-16-4513-6_45&partnerID=40&md5=7c95800c9abe59d71b0d40e6662da64c
http://eprints.utp.edu.my/29266/
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spelling utp-eprints.292662022-03-25T01:26:29Z Surface Reconstruction Using Rational Quartic Triangular Spline Draman, N.N.C. Abdul Karim, S.A. Hashim, I. Ping, Y.W. Reconstruction a smooth surface from non-uniform points is a major challenge in many areas. This paper discusses C1 surface scattered data interpolation using rational quartic triangular patches with two different existing convex combination. In order to achieve C1 continuity, we apply a rational corrected that obtained from convex combination between three local schemes. To validate our proposed method, we tested the scheme by using two test functions and two real applications from established dataset. We measured the performance by comparing errors which is maximum error, root mean square (RMSE), coefficient of determination (R2) and central processing unit (CPU). All numerical and graphical results are obtained using MATLAB R2019a. From the result, we found that the proposed scheme is better than existing scheme. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123300486&doi=10.1007%2f978-981-16-4513-6_45&partnerID=40&md5=7c95800c9abe59d71b0d40e6662da64c Draman, N.N.C. and Abdul Karim, S.A. and Hashim, I. and Ping, Y.W. (2021) Surface Reconstruction Using Rational Quartic Triangular Spline. In: UNSPECIFIED. http://eprints.utp.edu.my/29266/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description Reconstruction a smooth surface from non-uniform points is a major challenge in many areas. This paper discusses C1 surface scattered data interpolation using rational quartic triangular patches with two different existing convex combination. In order to achieve C1 continuity, we apply a rational corrected that obtained from convex combination between three local schemes. To validate our proposed method, we tested the scheme by using two test functions and two real applications from established dataset. We measured the performance by comparing errors which is maximum error, root mean square (RMSE), coefficient of determination (R2) and central processing unit (CPU). All numerical and graphical results are obtained using MATLAB R2019a. From the result, we found that the proposed scheme is better than existing scheme. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
format Conference or Workshop Item
author Draman, N.N.C.
Abdul Karim, S.A.
Hashim, I.
Ping, Y.W.
spellingShingle Draman, N.N.C.
Abdul Karim, S.A.
Hashim, I.
Ping, Y.W.
Surface Reconstruction Using Rational Quartic Triangular Spline
author_sort Draman, N.N.C.
title Surface Reconstruction Using Rational Quartic Triangular Spline
title_short Surface Reconstruction Using Rational Quartic Triangular Spline
title_full Surface Reconstruction Using Rational Quartic Triangular Spline
title_fullStr Surface Reconstruction Using Rational Quartic Triangular Spline
title_full_unstemmed Surface Reconstruction Using Rational Quartic Triangular Spline
title_sort surface reconstruction using rational quartic triangular spline
publisher Springer Science and Business Media B.V.
publishDate 2021
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123300486&doi=10.1007%2f978-981-16-4513-6_45&partnerID=40&md5=7c95800c9abe59d71b0d40e6662da64c
http://eprints.utp.edu.my/29266/
_version_ 1741197214499209216
score 11.62408

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