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Shape modeling based on specifying the initial B-spline curve and scaled BFGS optimization method.
- Source :
- Multimedia Tools & Applications; Dec2018, Vol. 77 Issue 23, p30331-30351, 21p
- Publication Year :
- 2018
-
Abstract
- In this paper, we consider the problem of fitting the B-spline curves to a set of ordered points, by finding the control points and the location parameters. The presented method takes two main steps: specifying initial B-spline curve and optimization. The method determines the number and the position of control points such that the initial B-spline curve is very close to the target curve. The proposed method introduces a length parameter in which this allows us to adjust the number of the control points and increases the precision of the initial B-spline curve. Afterwards, the scaled BFGS algorithm is used to optimize the control points and the foot points simultaneously and generates the final curve. Furthermore, we present a new procedure to insert a new control point and repeat the optimization method, if it is necessary to modify the fitting accuracy of the generated B-spline fitting curve. Associated examples are also offered to show that the proposed approach performs accurately for complex shapes with a large number of data points and is able to generate a precise fitting curve with a high degree of approximation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13807501
- Volume :
- 77
- Issue :
- 23
- Database :
- Complementary Index
- Journal :
- Multimedia Tools & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 132349200
- Full Text :
- https://doi.org/10.1007/s11042-018-6109-z