2006
DOI: 10.1109/tmech.2006.878557
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Manipulation of deformable linear objects using knot invariants to classify the object condition based on image sensor information

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Cited by 43 publications
(28 citation statements)
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“…Untangling knots requires reasoning about its knot structure. Matsuno et al [19] and Matsuno and Fukuda [18] focus on interpreting real-world knots as their mathematical counterparts, primarily using knot polynomials. Although knot polynomials are knot-invariant, they are not useful for real-world manipulations because they do not allow us to identify useful manipulation pointsthey are mainly used for knot isomorphism between two rope configurations.…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…Untangling knots requires reasoning about its knot structure. Matsuno et al [19] and Matsuno and Fukuda [18] focus on interpreting real-world knots as their mathematical counterparts, primarily using knot polynomials. Although knot polynomials are knot-invariant, they are not useful for real-world manipulations because they do not allow us to identify useful manipulation pointsthey are mainly used for knot isomorphism between two rope configurations.…”
Section: Related Workmentioning
confidence: 99%
“…al. [19] explore the manipulation of rope bodies, but their primary application is tying simple knots from a known starting state. Instead, we aim to start from an unknown state and infer the necessary rope configuration and properties to allow us to manipulate it and make progress towards an untangled state.…”
Section: Related Workmentioning
confidence: 99%
“…Although motion planning based on topological relationships are emerging [10], [9], such methods always require the status of the objects to be projected onto a pre-defined 2D plane, which is inconvenient in case we want to plan the movements of the humanoid in 3D space. We will tackle this problem in this research.…”
Section: Previous Workmentioning
confidence: 99%
“…There are several examples of DLO [2][3][4] such as cables, hose and wires, which have different applications in industry [5], such as medical probes [6]. Models of DLO have been developed specifically to model rope manipulation to produce knots [7,8]. Vibration damping of DLO has been dealt with fuzzy control [9], and sliding mode control [10,11].…”
Section: Introductionmentioning
confidence: 99%