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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
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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spelling my-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
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Electronic and Digitized Intellectual Asset
url_provider http://utpedia.utp.edu.my/
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_facet 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_ 1739832763663515648
score 13.211869

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