Parameterization Method on B-Spline Curve
Joint Authors
Haron, H.
Rehman, A.
Adi, D. I. S.
Lim, S. P.
Saba, T.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-24
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The use of computer graphics in many areas allows a real object to be transformed into a three-dimensional computer model (3D) by developing tools to improve the visualization of two-dimensional (2D) and 3D data from series of data point.
The tools involved the representation of 2D and 3D primitive entities and parameterization method using B-spline interpolation.
However, there is no parameterization method which can handle all types of data points such as collinear data points and large distance of two consecutive data points.
Therefore, this paper presents a new parameterization method that is able to solve those drawbacks by visualizing the 2D primitive entity of scanned data point of a real object and construct 3D computer model.
The new method has improved a hybrid method by introducing exponential parameterization method in the beginning of the reconstruction process, followed by computing B-spline basis function to find maximum value of the function.
The improvement includes solving a linear system of the B-spline basis function using numerical method.
Improper selection of the parameterization method may lead to the singularity matrix of the system linear equations.
The experimental result on different datasets show that the proposed method performs better in constructing the collinear and two consecutive data points compared to few parameterization methods.
American Psychological Association (APA)
Haron, H.& Rehman, A.& Adi, D. I. S.& Lim, S. P.& Saba, T.. 2012. Parameterization Method on B-Spline Curve. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001797
Modern Language Association (MLA)
Haron, H.…[et al.]. Parameterization Method on B-Spline Curve. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1001797
American Medical Association (AMA)
Haron, H.& Rehman, A.& Adi, D. I. S.& Lim, S. P.& Saba, T.. Parameterization Method on B-Spline Curve. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001797