2012 IEEE International Conference on Robotics and Automation 2012
DOI: 10.1109/icra.2012.6225309
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Collision-free state estimation

Abstract: In state estimation, we often want the maximum likelihood estimate of the current state. For the commonly used joint multivariate Gaussian distribution over the state space, this can be efficiently found using a Kalman filter. However, in complex environments the state space is often highly constrained. For example, for objects within a refrigerator, they cannot interpenetrate each other or the refrigerator walls. The multivariate Gaussian is unconstrained over the state space and cannot incorporate these cons… Show more

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Cited by 6 publications
(5 citation statements)
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References 13 publications
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“…An additional concern during estimation is the incorporation of physical constraints: objects may not interpenetrate one another and must be supported by other objects (not be floating in the air). We have integrated the approach of Wong et al (2012), solving a constrained optimization problem to find the maximum-likelihood arrangement of the objects that satisfies these constraints, and use that constrained maximum-likelihood estimate for motion planning.…”
Section: Object Posesmentioning
confidence: 99%
“…An additional concern during estimation is the incorporation of physical constraints: objects may not interpenetrate one another and must be supported by other objects (not be floating in the air). We have integrated the approach of Wong et al (2012), solving a constrained optimization problem to find the maximum-likelihood arrangement of the objects that satisfies these constraints, and use that constrained maximum-likelihood estimate for motion planning.…”
Section: Object Posesmentioning
confidence: 99%
“…In a closely related work, Wong et. al [13] propose collision-free state estimation where they attempt to solve a constrained optimization problem in order to find a feasible collision-free configuration. They assume that all the objects are resting stably on a 2D surface (i.e., no object is on top of another object).…”
Section: Related Workmentioning
confidence: 99%
“…The second extension is the incorporation of known state constraints. Examples of constraints include object-object non-interpenetration (Wong, Kaelbling, and Lozano-Pérez 2012), support/containment relationships, and stability/contact. State estimation with hard constraints is challenging because they couple together many state variables.…”
Section: Expressivenessmentioning
confidence: 99%