Automatic Outline Generation of Jiaguwen Based on Curve Fitting of Uniform B-Spline with Shape Parameter

2009 ◽  
Author(s):  
Xiaohu Ma ◽  
Xiaoli Wang ◽  
Shihua Yong
Keyword(s):  
Curve Fitting ◽  
Shape Parameter ◽  
B Spline

An additional branch free algebraic B-spline curve fitting method

2010 ◽  
Vol 26 (6-8) ◽  
pp. 801-811 ◽  
Author(s):  
Mingxiao Hu ◽  
Jieqing Feng ◽  
Jianmin Zheng
Keyword(s):  
Curve Fitting ◽  
B Spline ◽  
Spline Curve ◽  
Fitting Method ◽  
Additional Branch ◽  
Curve Fitting Method

scholarly journals A fast algorithm for cubic B-spline curve fitting

1994 ◽  
Vol 18 (3) ◽  
pp. 327-334 ◽  
Author(s):  
Kuo-Liang Chung ◽  
Wen-Ming Yan
Keyword(s):  
Curve Fitting ◽  
Fast Algorithm ◽  
B Spline ◽  
Spline Curve

The quadratic B-spline curve fitting for the shape of log cross sections

2006 ◽  
Vol 17 (2) ◽  
pp. 150-152 ◽  
Author(s):  
Hong’e Ren ◽  
Yan Wu ◽  
Xiao-ming Zhu
Keyword(s):  
Cross Sections ◽  
Curve Fitting ◽  
B Spline ◽  
Spline Curve

scholarly journals Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2102
Author(s):  
Abdul Majeed ◽  
Muhammad Abbas ◽  
Faiza Qayyum ◽  
Kenjiro T. Miura ◽  
Md Yushalify Misro ◽  
...  
Keyword(s):  
Geometric Modeling ◽  
Shape Parameter ◽  
3D Models ◽  
Basis Functions ◽  
Shape Parameters ◽  
B Spline ◽  
Spline Curves ◽  
Spline Basis ◽  
Cubic Polynomial ◽  
2D And 3D

Trigonometric B-spline curves with shape parameters are equally important and useful for modeling in Computer-Aided Geometric Design (CAGD) like classical B-spline curves. This paper introduces the cubic polynomial and rational cubic B-spline curves using new cubic basis functions with shape parameter ξ∈[0,4]. All geometric characteristics of the proposed Trigonometric B-spline curves are similar to the classical B-spline, but the shape-adjustable is additional quality that the classical B-spline curves does not hold. The properties of these bases are similar to classical B-spline basis and have been delineated. Furthermore, uniform and non-uniform rational B-spline basis are also presented. C3 and C5 continuities for trigonometric B-spline basis and C3 continuities for rational basis are derived. In order to legitimize our proposed scheme for both basis, floating and periodic curves are constructed. 2D and 3D models are also constructed using proposed curves.

scholarly journals Influence of curve fitting techniques on hydrostatic characteristics of ship

1970 ◽  
Vol 39 (2) ◽  
pp. 100-112
Author(s):  
Md Mashud Karim ◽  
Md Ashim Ali ◽  
Kho. Sahriar Iqbal
Keyword(s):  
Curve Fitting ◽  
Mechanical Engineering ◽  
Cubic Spline ◽  
Ship Hull ◽  
Least Square ◽  
Ship Stability ◽  
Hull Form ◽  
B Spline ◽  
Using Data ◽  
Table Data

This paper presents influence of curve fitting techniques on hydrostatic characteristics of marine vessels.  Three vessels having lengths of 32.16m, 70.0m and 25.6m are selected for this study. The hull geometries of these vessels are represented by three curve fitting techniques such as least square, cubic spline and B-spline methods. At first, hydrostatic characteristics of the vessels are calculated using data only available in offset table and then using more data generated by curve fitting techniques. Finally, results obtained by offset table data are compared to those by fitted data. It is seen that there are some influences of curve fitting technique on the hydrostatic characteristics of ship especially at lightly loaded condition. Keywords: Curve fitting technique, ship hull form, offset table, hydrostatic characteristics, ship stability, cross curve. doi:10.3329/jme.v39i2.1853 Journal of Mechanical Engineering, Vol. ME39, No. 2, Dec. 2008 100-112

The Quadratic Trigonometric B-Spline Curve with a Shape Parameter

2012 ◽  
Vol 468-471 ◽  
pp. 2463-2466 ◽  
Author(s):  
Jun Cheng Li ◽  
Guo Hua Chen ◽  
Lian Yang
Keyword(s):  
Shape Parameter ◽  
B Spline ◽  
Spline Curve ◽  
Control Polygon

A quadratic trigonometric B-spline curve analogous to the standard quadratic uniform B-spline curve, with a shape parameter, is presented in this work. The shape of the proposed curve can be adjusted by altering the value of the shape parameter while the control polygon is kept unchanged. With the shape parameter, the quadratic trigonometric B-spline curve can be closer to given polygon than the standard quadratic uniform B-spline curve. The proposed curve can be used to accurately represent the ellipse.

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