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Differentially constrained motion planning with state lattice motion primitives (2012)

by M Pivtoraiko
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Planning Locally Optimal, Curvature-Constrained Trajectories in 3D using Sequential Convex Optimization

by Yan Duan, Sachin Patil, John Schulman, Ken Goldberg, Pieter Abbeel
"... Abstract — 3D curvature-constrained motion planning finds applications in a wide variety of domains, including motion planning for flexible, bevel-tip medical needles, planning curvature-constrained channels in 3D printed implants for targeted brachytherapy dose delivery or channels for cooling turb ..."
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Abstract — 3D curvature-constrained motion planning finds applications in a wide variety of domains, including motion planning for flexible, bevel-tip medical needles, planning curvature-constrained channels in 3D printed implants for targeted brachytherapy dose delivery or channels for cooling turbine blades, and path planning for unmanned aerial vehicles (UAVs). In this work, we present a motion planning technique using sequential convex optimization for computing locally optimal, curvature-constrained trajectories to desired targets while avoiding obstacles in 3D environments. We report two main contributions in this work: (i) curvature-constrained trajectory optimization in 6D pose (position and orientation) space, and (ii) planning multiple trajectories that are mutually collisionfree. We demonstrate the performance of our approach on two clinically motivated applications. Our experiments indicate that our approach can compute high-quality plans for medical needle steering in 1.6 seconds on a commodity PC, enabling replanning during execution to correct for perturbations. Our approach can also be used for designing optimized channel layouts within 3D printed implants for intracavitary brachytherapy. I.
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...environments requires planning in the 6D configuration space consisting of both position and orientation. Existing optimal motion planning approaches that rely on discretizing the configuration space =-=[23]-=- or sampling-based planners like RRT* [15] require solving a two-point boundary value problem (BVP) for connecting two states in SE(3), closed-form solutions for which are not known [3]. Duindam et al...

DOI: 10.1177/0278364914528132

by John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, Pieter Abbeel
"... Motion planning with sequential convex optimization and convex collision checking ..."
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Motion planning with sequential convex optimization and convex collision checking
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...nvironments requires planning in the 6D configuration space consisting of both position and orientation. Existing optimal motion planning approaches that rely on discretizing the configuration space (=-=Pivtoraiko, 2012-=-) or sampling-based planners like RRT* (Karaman and Frazzoli, 2011) require solving a two-point boundary value problem (BVP) for connecting two states in SE( 3), closedform solutions for which are not...

Target Following with Motion Prediction for Unmanned Surface Vehicle Operating in Cluttered Environments. Autonomous Robots, Accepted for publication. Autonomous Robots, manuscript No. (will be inserted by the editor) Target Following with Motion Predicti

by Atul Thakur, Eric Raboin, Brual C. Shah, Satyandra K. Gupta, Atul Thakur, Eric Raboin, Brual C. Shah, Satyandra K. Gupta
"... Abstract The capability of following a moving target in an environment with obstacles is required as a basic and necessary function for realizing an autonomous unmanned surface vehicle (USV). Many target following scenarios in-volve a follower and target vehicles that may have different maneuvering ..."
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Abstract The capability of following a moving target in an environment with obstacles is required as a basic and necessary function for realizing an autonomous unmanned surface vehicle (USV). Many target following scenarios in-volve a follower and target vehicles that may have different maneuvering capabilities. Moreover, the follower vehicle may not have prior information about the intended mo-tion of the target boat. This paper presents a trajectory planning and tracking approach for following a differen-tially constrained target vehicle operating in an obstacle field. The developed approach includes a novel algorithm for computing a desired pose and surge speed in the vicin-ity of the target boat, jointly defined as a motion goal, and
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...ith three actions and then increasing their count until it satisfied this trade-off. However, there have been few techniques published recently that directly address the design of control action sets =-=[85,86,87,88,89]-=- and as such this problem is still an open research area. We define a lattice L as a structure that maps xd,j to xd,j,k using a control action uU,d,k for j = 1, 2, . . . , |S| and k = 1, 2, . . . |UU,...

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by John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, Pieter Abbeel , 2014
"... Downloaded from ijr.sagepub.com at UNIV CALIFORNIA BERKELEY LIB on June 18, 2014Article Motion planning with sequential convex optimization and convex collision checking ..."
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Downloaded from ijr.sagepub.com at UNIV CALIFORNIA BERKELEY LIB on June 18, 2014Article Motion planning with sequential convex optimization and convex collision checking
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...nvironments requires planning in the 6D configuration space consisting of both position and orientation. Existing optimal motion planning approaches that rely on discretizing the configuration space (=-=Pivtoraiko, 2012-=-) or sampling-based planners like RRT* (Karaman and Frazzoli, 2011) require solving a two-point boundary value problem (BVP) for connecting two states in SE( 3), closedform solutions for which are not...

What is This?

by John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, Pieter Abbeel , 2014
"... Downloaded from ijr.sagepub.com at UNIV CALIFORNIA BERKELEY LIB on June 24, 2014Article Motion planning with sequential convex optimization and convex collision checking ..."
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Downloaded from ijr.sagepub.com at UNIV CALIFORNIA BERKELEY LIB on June 24, 2014Article Motion planning with sequential convex optimization and convex collision checking
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Citation Context

...nvironments requires planning in the 6D configuration space consisting of both position and orientation. Existing optimal motion planning approaches that rely on discretizing the configuration space (=-=Pivtoraiko, 2012-=-) or sampling-based planners like RRT* (Karaman and Frazzoli, 2011) require solving a two-point boundary value problem (BVP) for connecting two states in SE( 3), closedform solutions for which are not...

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