1999
DOI: 10.1017/s0263574799001307
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Modelling robot manipulators with multivariate B-splines

Abstract: In programming robot manipulators to carry out a wide variety of tasks it would be desirable to create a CAD system in which these tasks can be programmed at the task level, leaving the fine-grained detail of path planning and collision detection to the system. This paper describes the theoretical background to such a system, by providing a model in which robot motions are represented using multivariate B-splines, a standard representation for free-form shapes in the CAD environment. The paper also des… Show more

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Cited by 9 publications
(3 citation statements)
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“…15. 5. Robot is retracted from the lathe to allow it to process the bar and waits at a safe point, see Fig. 14.…”
Section: Case Studymentioning
confidence: 99%
See 1 more Smart Citation
“…15. 5. Robot is retracted from the lathe to allow it to process the bar and waits at a safe point, see Fig. 14.…”
Section: Case Studymentioning
confidence: 99%
“…In reference [4], trajectories of robot endtools are found by generating the robot pose ruled surface and optimizing its area under the constraints of good kinematics and dynamics performance. In reference [5], robot motions are represented using multivariate B-splines, this representation being used in collision detection and path planning. Chen et al [6] developed a CAD-based system for trajectory generation in spray painting freeform surfaces, where paint thickness is expressed in terms of paint gun velocity.…”
Section: Introductionmentioning
confidence: 99%
“…In [25] Shin and Mckay have presented a solution to the problem of minimising the power consumption of moving a serial robotic manipulator along a specified end-effector path subject to input torque/force constraints, by taking into account the dynamics of the manipulator. Other optimum path planning methods can be found like for example in [26][27][28][29][30][31][32][33]. Some attempts have been made also to consider obstacles as constraints in the path planning generation process, as it is proposed for example in [34].…”
Section: Introductionmentioning
confidence: 99%