THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION

This study discusses the construction of a cubic Timmer triangular patch defined on a triangular domain. Cubic Timmer basis function has its advantages compared with cubic Ball and cubic Bézier bases. Notably, it will interpolate the midpoint of control polygon. The construction of the cubic Timmer...

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Main Author: MOHD ALI, FATIN AMANI
Format: Thesis
Language: English
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-utpedia.20520 /
Published: 2020
Subjects:
Q Science (General)
Online Access: http://utpedia.utp.edu.my/20520/1/Fatin%20Amani%20Mohd%20Ali_18001405.pdf
http://utpedia.utp.edu.my/20520/
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recordtype eprints
spelling utp-utpedia.205202021-08-30T16:29:35Z http://utpedia.utp.edu.my/20520/ THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION MOHD ALI, FATIN AMANI Q Science (General) This study discusses the construction of a cubic Timmer triangular patch defined on a triangular domain. Cubic Timmer basis function has its advantages compared with cubic Ball and cubic Bézier bases. Notably, it will interpolate the midpoint of control polygon. The construction of the cubic Timmer triangular patch is based on the main idea from cubic Ball and cubic Bézier triangular patches. Some properties of the cubic Timmer triangular patch are investigated in detail. Finally, the cubic Timmer triangular patch is used to reconstruct a surface from non-uniform and uniform scattered data. To do this, we employ three stages algorithm 2020-03 Thesis NonPeerReviewed application/pdf en http://utpedia.utp.edu.my/20520/1/Fatin%20Amani%20Mohd%20Ali_18001405.pdf MOHD ALI, FATIN AMANI (2020) THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION. Masters thesis, Universiti Teknologi PETRONAS.
institution Universiti Teknologi Petronas
collection UTPedia
language English
topic Q Science (General)
spellingShingle Q Science (General)
MOHD ALI, FATIN AMANI
THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
description This study discusses the construction of a cubic Timmer triangular patch defined on a triangular domain. Cubic Timmer basis function has its advantages compared with cubic Ball and cubic Bézier bases. Notably, it will interpolate the midpoint of control polygon. The construction of the cubic Timmer triangular patch is based on the main idea from cubic Ball and cubic Bézier triangular patches. Some properties of the cubic Timmer triangular patch are investigated in detail. Finally, the cubic Timmer triangular patch is used to reconstruct a surface from non-uniform and uniform scattered data. To do this, we employ three stages algorithm
format Thesis
author MOHD ALI, FATIN AMANI
author_sort MOHD ALI, FATIN AMANI
title THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
title_short THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
title_full THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
title_fullStr THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
title_full_unstemmed THE DEVELOPMENT OF C1 CUBIC TIMMER TRIANGULAR PATCHES FOR SCATTERED DATA INTERPOLATION
title_sort development of c1 cubic timmer triangular patches for scattered data interpolation
publishDate 2020
url http://utpedia.utp.edu.my/20520/1/Fatin%20Amani%20Mohd%20Ali_18001405.pdf
http://utpedia.utp.edu.my/20520/
_version_ 1741195630735261696
score 11.62408

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