Robotics: Science and Systems XIII 2017
DOI: 10.15607/rss.2017.xiii.021
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Generalized Cylinders for Learning, Reproduction, Generalization, and Refinement of Robot Skills

Abstract: Abstract-This paper presents a novel geometric approach for learning and reproducing trajectory-based skills from human demonstrations. Our approach models a skill as a Generalized Cylinder, a geometric representation composed of an arbitrary space curve called spine and a smoothly varying cross-section. While this model has been utilized to solve other robotics problems, this is the first application of Generalized Cylinders to manipulation. The strengths of our approach are the model's ability to identify an… Show more

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Cited by 10 publications
(10 citation statements)
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“…However, their work was aimed towards free space motion and included the whole variance of demonstrations, whereas we look at the variance of motion outside a specified desired direction in an in-contact task. Ahmadzadeh et al (2017) proposed an LfD encoding method which can generate unseen trajectories within the cylinder of the given demonstrations. However, both of these methods are presented as tools for free space motion and not for in-contact tasks.…”
Section: Related Workmentioning
confidence: 99%
“…However, their work was aimed towards free space motion and included the whole variance of demonstrations, whereas we look at the variance of motion outside a specified desired direction in an in-contact task. Ahmadzadeh et al (2017) proposed an LfD encoding method which can generate unseen trajectories within the cylinder of the given demonstrations. However, both of these methods are presented as tools for free space motion and not for in-contact tasks.…”
Section: Related Workmentioning
confidence: 99%
“…In all the experiments, we used the position constraints in (12) to enforce both initial and end point constraints uniformly across all the methods being compared. Further, we uniformly set the number of Gaussian basis functions to five across all the coordinates and all the experiments.…”
Section: Experimental Evaluationmentioning
confidence: 99%
“…Existing work in trajectory-based LfD has contributed a wide range of mathematical representations that encode skills from human demonstrations and then reproduce the learned skills at runtime. Proposed representations include Spring-damper systems with forcing functions [3], Gaussian Mixture Models (GMMs) [4]- [6], Neural Networks (NNs) [7], [8], Gaussian Processes (GPs) [9]- [11], and geometric objects [12], among others. Each of these representations is used to encode the demonstrations in a predefined space or coordinate system (e.g., Cartesian coordinates).…”
Section: Introductionmentioning
confidence: 99%
“…However, their work was aimed towards free space motion and included the whole variance of demonstrations, whereas we look at the variance of motion outside a specified desired direction in an in-contact task. Ahmadzedah et al [17] proposed an LfD encoding method which can generate unseen trajectories within the cylinder of the given demonstrations. However, both of these methods are presented as tools for free space motion and not for incontact tasks.…”
Section: Related Workmentioning
confidence: 99%