INTEGRATED TECHNOLOGY OF RE SYSTEM BASED-ON TRIANGULAR BÉZIER SURFACE MODELING AND RP SYSTEM

2003 ◽  
Vol 39 (02) ◽  
pp. 42
Author(s):  
Yaoxian Xiao
Keyword(s):  
Surface Modeling ◽  
Bézier Surface ◽  
Integrated Technology ◽  
Bezier Surface ◽  
Triangular Bézier Surface

scholarly journals Automatic Spray Trajectory Optimization on Bézier Surface

Electronics ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 168 ◽  
Author(s):  
Wei Chen ◽  
Junjie Liu ◽  
Yang Tang ◽  
Huilin Ge
Keyword(s):  
Trajectory Optimization ◽  
Surface Modeling ◽  
Challenging Problem ◽  
End Effector ◽  
Bézier Surface ◽  
Bezier Surface ◽  
Moving Speed

The trajectory optimization of automatic spraying robot is still a challenging problem, which is very important in the whole spraying work. Spray trajectory optimization consists of two parts: spray space path and end-effector moving speed. A large number of spraying experiments have proved that it is very important to find the best initial trajectory of spraying. This paper presents an automatic spray trajectory optimization that is based on the Bézier surface. Spray the workpiece for Bezier triangular surface modeling and find the best initial trajectory of the spraying robot, establish the appropriate spraying model, plan the appropriate space path, and finally plan the trajectory optimization along the specified painting path. The validity and practicability of the method presented in this paper are proved by an example. This method can also be extended to other applications.

scholarly journals Triangular Bézier sub-surfaces on a triangular Bézier surface

2011 ◽  
Vol 235 (17) ◽  
pp. 5001-5016 ◽  
Author(s):  
Wenyu Chen ◽  
Rongdong Yu ◽  
Jianmin Zheng ◽  
Yiyu Cai ◽  
Chikit Au
Keyword(s):  
Bézier Surface ◽  
Bezier Surface ◽  
Triangular Bézier Surface

scholarly journals Computing exact rational offsets of quadratic triangular Bézier surface patches

2008 ◽  
Vol 40 (2) ◽  
pp. 197-209 ◽  
Author(s):  
Bohumír Bastl ◽  
Bert Jüttler ◽  
Jiří Kosinka ◽  
Miroslav Lávička
Keyword(s):  
Bézier Surface ◽  
Surface Patches ◽  
Bezier Surface ◽  
Triangular Bézier Surface ◽  
Triangular Bézier Surface Patches

Research on Generating Interference-Free Tool Path Based on Triangular Bézier Surface

2011 ◽  
Vol 201-203 ◽  
pp. 799-804
Author(s):  
Xin Cai Kang ◽  
Dian Zhu Sun ◽  
Yang Shi ◽  
Yong Wei Sun
Keyword(s):  
Cutting Planes ◽  
Tool Path ◽  
Index Structure ◽  
Surface Model ◽  
Bézier Surface ◽  
Bezier Surface ◽  
Iterative Calculation ◽  
Triangular Bézier Surface ◽  
Intersection Curves ◽  
Strong Adaptation

To improve efficiency of NC tool path generation for triangular Bézier surface and solve the interference issues of tool path, we proposed an algorithm of generating interference-free NC tool path based on triangular Bézier surface. The R*S tree is introduced into the algorithm and the dynamic spatial index structure of the triangular Bézier surface model is established by R*S tree; the intersection regions are acquired rapidly based on the R*S tree, so that the intersection triangular Bézier patches are located exactly; each intersection triangular Bézier patch is adaptively subdivided into many triangular planar patches in the scope of the tool path precision; the intersection curves are acquired through the intersection of triangular planar patches and cutting planes; the points on intersection curves are taken as the driving points, thus the interference-free cutter location points of triangular Bézier surface are obtained by the iterative calculation method, and then the interference-free cutter location points are connected rightly to generate NC tool path. It has been proved by examples that the algorithm of generating NC tool path based on triangular Bézier surface has strong adaptation to data type and that it can accurately and efficiently obtain the interference-free NC tool-path for the intricate triangular Bézier surface.

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