Smooth Connection of Cubic T-B Spline and Uniform Rational B Spline Curves in Industrial Design

2013 ◽  
pp. 821-829 ◽  
Author(s):  
Yali He ◽  
Wang Zhao ◽  
Shujing Zhao ◽  
Jincai Chang
Keyword(s):  
Industrial Design ◽  
B Spline ◽  
Spline Curves ◽  
Smooth Connection

scholarly journals Cubic B-Spline Curves with Shape Parameter and Their Applications

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Houjun Hang ◽  
Xing Yao ◽  
Qingqing Li ◽  
Michel Artiles
Keyword(s):  
Basis Function ◽  
Shape Parameter ◽  
Engineering Application ◽  
Shape Design ◽  
Control Points ◽  
Shape Parameters ◽  
B Spline ◽  
Spline Curves ◽  
Smooth Connection

The present studies on the extension of B-spline mainly focus on Bezier methods and uniform B-spline and are confined to the adjustment role of shape parameters to curves. Researchers pay little attention to nonuniform B-spline. This paper discusses deeply the extension of the quasi-uniform B-spline curves. Firstly, by introducing shape parameters in the basis function, the spline curves are defined in matrix form. Secondly, the application of the shape parameter in shape design is analyzed deeply. With shape parameters, we get another means for adjusting the curves. Meanwhile, some examples are given. Thirdly, we discuss the smooth connection between adjacent B-spline segments in detail and present the adjusting methods. Without moving the control points position, through assigning appropriate value to the shape parameter, C1 continuity of combined spline curves can be realized easily. Results show that the methods are simple and suitable for the engineering application.

scholarly journals Conditions for regular $B$-spline curves and surfaces

1992 ◽  
Vol 26 (1) ◽  
pp. 177-190 ◽  
Author(s):  
N. Dyn ◽  
D. Levin ◽  
I. Yad-Shalom
Keyword(s):  
B Spline ◽  
Curves And Surfaces ◽  
Spline Curves

scholarly journals Interactive Modeling of 3D Tree with Ball B-Spline Curves

2009 ◽  
Vol 8 (2) ◽  
pp. 101-107 ◽  
Author(s):  
Zhongke Wu ◽  
Mingquan Zhou ◽  
Xingce Wang
Keyword(s):  
Iterated Function Systems ◽  
Interactive Methods ◽  
Tree Model ◽  
B Spline ◽  
Spline Curves ◽  
Novel Approach ◽  
Iterated Function ◽  
Tree Models ◽  
Generating Tree ◽  
L Systems

A novel approach to modeling realistic tree easily through interactive methods based on ball B-Spline Curves (BBSCs) and an efficient graph based data structure of tree model is proposed in the paper. As BBSCs are flexible for modifying, deforming and editing, these methods provide intuitive interaction and more freedom for users to model trees. If conjuncted with other methods like generating tree models through L-systems or iterated function systems (IFS), the models are more realistic and natural through modifying and editing. The method can be applied to the design of bonsai tree models.

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