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Application of mathematical 3D surface using Bi-cubic B-Spline models
Other Title(s)
تطبيق رياضي لسطح ثلاثي الأبعاد باستخدام نماذج Bi-cubic B-Spline
Source
Issue
Vol. 57, Issue 4C (31 Dec. 2016), pp.2932-2946, 15 p.
Publisher
University of Baghdad College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract EN
This paper describes a modified mathematical method that used for controlling and generating three dimensional surfaces based on different axes (X, Y, and Z) and free axis.
The main aim of the proposed method is to allow the designer to change the shape of the surface to the desired one without changing the original data points which is presented in the earlier version of this paper under title "3D Surface Reconstruction of Mathematical Modelling Used for Controlling the Generation of Different Bi-cubic B-Spline in Matrix Form without Changing the Control Points".
The proposed method has been done by changing the t and s, parameters value that are assigned secretly by the designer.
Therefore, in case off the control points have been discovered by others, the same design will not be created because the secrete parameters values are known only by the designer.
Besides, the proposed method can be used by various applications such as banknote design, shape design, decorations, and governmental documents.
Finally, the proposed method shows high level of accuracy in generating 3D surfaces without changing the control points.
American Psychological Association (APA)
Abd al-Husayn, Abd al-Muhsin Jabir. 2016. Application of mathematical 3D surface using Bi-cubic B-Spline models. Iraqi Journal of Science،Vol. 57, no. 4C, pp.2932-2946.
https://search.emarefa.net/detail/BIM-733618
Modern Language Association (MLA)
Abd al-Husayn, Abd al-Muhsin Jabir. Application of mathematical 3D surface using Bi-cubic B-Spline models. Iraqi Journal of Science Vol. 57, no. 4C (2016), pp.2932-2946.
https://search.emarefa.net/detail/BIM-733618
American Medical Association (AMA)
Abd al-Husayn, Abd al-Muhsin Jabir. Application of mathematical 3D surface using Bi-cubic B-Spline models. Iraqi Journal of Science. 2016. Vol. 57, no. 4C, pp.2932-2946.
https://search.emarefa.net/detail/BIM-733618
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-733618