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
Other Title(s)
إعادة بناء سطح ثلاثي الأبعاد باستخدام نموذج رياضي للسيطرة على توليد نماذج مختلفة من الدرجة الثالثة بصيغة المصفوفات من دون تغيير نقاط السيطرة (B-Spline)
Author
Source
Engineering and Technology Journal
Issue
Vol. 34, Issue 1B (31 Jan. 2016), pp.136-152, 17 p.
Publisher
Publication Date
2016-01-31
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract EN
This paper introduces a 3D surface reconstruction of mathematical modelling by using blossoming, dependent on a parameter in the coefficient of the control points, the bicubic B-spline surface in matrix form scheme can be utilized to obtain a better quality of reconstructed surface, by using different values of parameter of coefficients used for controlling generating 3D complex surface, which is not easy to recreate.
The de-Boor method is used to upgrade the matrix form of 2D to bicubic 3D- b-spline surface depends on parameter value.
The model can be seen more efficient of surface in comparison with that needed in conventional methods.
The effectiveness of the proposed algorithm is illustrated through several comparative examples of 3D matrices surface.
The change in surface is made without any change in the control points.
Applications of the modeling in both the curve and surface can be used in many fields, such as banknote design, shape design, decorations, governmental document, and other documents, all of which are of high impotence.
And it is used to find the appropriate solutions that prevent or reduce the forgery and counterfeiting of the important and vital documents
American Psychological Association (APA)
Abd Husayn, Abd Muhsin J.. 2016. 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. Engineering and Technology Journal،Vol. 34, no. 1B, pp.136-152.
https://search.emarefa.net/detail/BIM-674085
Modern Language Association (MLA)
Abd Husayn, Abd Muhsin J.. 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. Engineering and Technology Journal Vol. 34, no. 1B (2016), pp.136-152.
https://search.emarefa.net/detail/BIM-674085
American Medical Association (AMA)
Abd Husayn, Abd Muhsin J.. 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. Engineering and Technology Journal. 2016. Vol. 34, no. 1B, pp.136-152.
https://search.emarefa.net/detail/BIM-674085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 151-152
Record ID
BIM-674085