Surface Reconstruction Using Rational Quartic Triangular Spline

Nur Nabilah Che Draman; Samsul Ariffin Abdul Karim; Ishak Hashim; Yeo Wee Ping

doi:10.1007/978-981-16-4513-6_45

Surface Reconstruction Using Rational Quartic Triangular Spline

Nur Nabilah Che Draman
, Samsul Ariffin Abdul Karim
, Ishak Hashim
, Yeo Wee Ping

Universiti Teknologi Petronas
Universiti Kebangsaan Malaysia
Universiti Brunei Darussalam

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020
Editors	Samsul Ariffin Abdul Karim, Mohd Fadhlullah Abd Shukur, Chong Fai Kait, Hassan Soleimani, Hamzah Sakidin
Publisher	Springer Science and Business Media B.V.
Pages	513-528
Number of pages	16
ISBN (Print)	9789811645129
DOIs	https://doi.org/10.1007/978-981-16-4513-6_45
State	Published - 2021
Externally published	Yes
Event	6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 - Virtual, Online Duration: 13 Jul 2021 → 15 Jul 2021

Publication series

Name	Springer Proceedings in Complexity
ISSN (Print)	2213-8684
ISSN (Electronic)	2213-8692

Conference

Conference	6th International Conference on Fundamental and Applied Sciences, ICFAS 2020
City	Virtual, Online
Period	13/07/21 → 15/07/21

Keywords

C continuity
Convex combination
Local scheme
Rational quartic triangular patches
Scattered data interpolation

Access to Document

10.1007/978-981-16-4513-6_45

Cite this

Draman, N. N. C., Abdul Karim, S. A., Hashim, I., & Ping, Y. W. (2021). Surface Reconstruction Using Rational Quartic Triangular Spline. In S. A. Abdul Karim, M. F. Abd Shukur, C. Fai Kait, H. Soleimani, & H. Sakidin (Eds.), Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020 (pp. 513-528). (Springer Proceedings in Complexity). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-981-16-4513-6_45

Draman, Nur Nabilah Che ; Abdul Karim, Samsul Ariffin ; Hashim, Ishak et al. / Surface Reconstruction Using Rational Quartic Triangular Spline. Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020. editor / Samsul Ariffin Abdul Karim ; Mohd Fadhlullah Abd Shukur ; Chong Fai Kait ; Hassan Soleimani ; Hamzah Sakidin. Springer Science and Business Media B.V., 2021. pp. 513-528 (Springer Proceedings in Complexity).

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title = "Surface Reconstruction Using Rational Quartic Triangular Spline",

abstract = "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.",

keywords = "C continuity, Convex combination, Local scheme, Rational quartic triangular patches, Scattered data interpolation",

author = "Draman, \{Nur Nabilah Che\} and \{Abdul Karim\}, \{Samsul Ariffin\} and Ishak Hashim and Ping, \{Yeo Wee\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 ; Conference date: 13-07-2021 Through 15-07-2021",

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language = "English",

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Draman, NNC, Abdul Karim, SA, Hashim, I & Ping, YW 2021, Surface Reconstruction Using Rational Quartic Triangular Spline. in SA Abdul Karim, MF Abd Shukur, C Fai Kait, H Soleimani & H Sakidin (eds), Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020. Springer Proceedings in Complexity, Springer Science and Business Media B.V., pp. 513-528, 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020, Virtual, Online, 13/07/21. https://doi.org/10.1007/978-981-16-4513-6_45

Surface Reconstruction Using Rational Quartic Triangular Spline. / Draman, Nur Nabilah Che; Abdul Karim, Samsul Ariffin; Hashim, Ishak et al.
Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020. ed. / Samsul Ariffin Abdul Karim; Mohd Fadhlullah Abd Shukur; Chong Fai Kait; Hassan Soleimani; Hamzah Sakidin. Springer Science and Business Media B.V., 2021. p. 513-528 (Springer Proceedings in Complexity).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Surface Reconstruction Using Rational Quartic Triangular Spline

AU - Draman, Nur Nabilah Che

AU - Abdul Karim, Samsul Ariffin

AU - Hashim, Ishak

AU - Ping, Yeo Wee

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - C continuity

KW - Convex combination

KW - Local scheme

KW - Rational quartic triangular patches

KW - Scattered data interpolation

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U2 - 10.1007/978-981-16-4513-6_45

DO - 10.1007/978-981-16-4513-6_45

M3 - Conference contribution

AN - SCOPUS:85123300486

SN - 9789811645129

T3 - Springer Proceedings in Complexity

SP - 513

EP - 528

BT - Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020

A2 - Abdul Karim, Samsul Ariffin

A2 - Abd Shukur, Mohd Fadhlullah

A2 - Fai Kait, Chong

A2 - Soleimani, Hassan

A2 - Sakidin, Hamzah

PB - Springer Science and Business Media B.V.

T2 - 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020

Y2 - 13 July 2021 through 15 July 2021

ER -

Draman NNC, Abdul Karim SA, Hashim I, Ping YW. Surface Reconstruction Using Rational Quartic Triangular Spline. In Abdul Karim SA, Abd Shukur MF, Fai Kait C, Soleimani H, Sakidin H, editors, Proceedings of the 6th International Conference on Fundamental and Applied Sciences - ICFAS 2020. Springer Science and Business Media B.V. 2021. p. 513-528. (Springer Proceedings in Complexity). doi: 10.1007/978-981-16-4513-6_45

Surface Reconstruction Using Rational Quartic Triangular Spline

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