Approximate investigation of smooth point mappings

1969 ◽  
Vol 12 (11) ◽  
pp. 1326-1329
Author(s):  
V. I. Goryunov
Keyword(s):  
Smooth Point ◽  
Approximate Investigation

Smooth Point Asymptotics

2013 ◽  
pp. 160-208
Author(s):  
Robin Pemantle ◽  
Mark C. Wilson
Keyword(s):  
Smooth Point

Smooth point-to-point trajectory planning for robot manipulators by using radial basis functions

Robotica ◽  
2018 ◽  
Vol 37 (3) ◽  
pp. 539-559 ◽  
Author(s):  
Taha Chettibi
Keyword(s):  
Radial Basis Functions ◽  
Trajectory Planning ◽  
Robot Manipulators ◽  
Smooth Point ◽  
Basis Functions ◽  
Minimum Time ◽  
Planning Problem ◽  
Planning Techniques ◽  
Radial Basis ◽  
Point To Point

SUMMARYThe paper introduces the use of radial basis functions (RBFs) to generate smooth point-to-point joint trajectories for robot manipulators. First, Gaussian RBF interpolation is introduced taking into account boundary conditions. Then, the proposed approach is compared with classical planning techniques based on polynomial and trigonometric models. Also, the trajectory planning problem involving via-points is solved using the proposed RBF interpolation technique. The obtained trajectories are then compared with those synthesized using algebraic and trigonometric splines. Finally, the proposed method is tested for the six-joint PUMA 560 robot in two cases (minimum time and minimum time-jerk) and results are compared with those of other planning techniques. Numerical results demonstrate the advantage of the proposed technique, offering an effective solution to generate trajectories with short execution time and smooth profile.

Smooth point matching based on SIFT

2018 ◽  
Author(s):  
Zhiyuan Liu ◽  
Yizhang Liu ◽  
Bohang Chen ◽  
Changcai Yang ◽  
Yi-Ping Phoebe Chen ◽  
...  
Keyword(s):  
Smooth Point ◽  
Point Matching

Design on the Drag Reduction Surface of an Arc-Shaped Revolution Body with the Phyllotactic Pattern

2013 ◽  
Vol 658 ◽  
pp. 361-366
Author(s):  
Hai Peng Huang ◽  
Yu Shan Lu ◽  
Jun Wang
Keyword(s):  
Drag Reduction ◽  
Smooth Point ◽  
Spatial Arrangement ◽  
Area Ratio ◽  
Mathematical Equation ◽  
Design Problems ◽  
Phyllotactic Pattern ◽  
Structure Morphology ◽  
3D Software ◽  
Designing Method

In order to resolve the theorized design problems on the bionic non-smooth drag reduction surface of an arc-shaped revolution body, which mainly include the structure morphology and spatial arrangement of the non-smooth point, a kind of designing method on the bionic non-smooth drag reduction surface is presented based on biological phyllotactic theory, and the mathematical equation of the arrangement of the non-smooth point on the arc-shaped drag reduction surface has been established, the effects of the phyllotactic parameters on the arrangement form and density of the non-smooth point have been discussed, and the arrangement of the non-smooth point on an arc-shaped revolution body surface has been designed by using a 3D software. Research results have shown that the arrangement density of the non-smooth points increases with the decreasing of the phyllotactic coefficient, and the area ratio of the no-smooth point to the surface of revolution body increases with the geometric parameter of the non-smooth point.

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