2004
DOI: 10.1145/1024922.1024927
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Interval constraint solving for camera control and motion planning

Abstract: Many problems in robust control and motion planning can be reduced to either finding a sound approximation of the solution space determined by a set of nonlinear inequalities, or to the "guaranteed tuning problem" as defined by Jaulin and Walter, which amounts to finding a value for some tuning parameter such that a set of inequalities be verified for all the possible values of some perturbation vector. A classical approach to solving these problems, which satisfies the strong soundness requirement, involves s… Show more

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Cited by 29 publications
(42 citation statements)
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“…The second category consists of methods that take various constraints, such as geometric collisions and visual occlusions, into account to achieve globally optimal camera motion planning for complex and open scenes. Benhamou et al [3] converted the motion planning problem into a nonlinear function optimization problem, and they proposed analytical methods which examine occlusions and collisions to efficiently obtain solutions. Sanyal et al [27] presented a framework for generating tours which focus on interesting objects.…”
Section: Related Workmentioning
confidence: 99%
“…The second category consists of methods that take various constraints, such as geometric collisions and visual occlusions, into account to achieve globally optimal camera motion planning for complex and open scenes. Benhamou et al [3] converted the motion planning problem into a nonlinear function optimization problem, and they proposed analytical methods which examine occlusions and collisions to efficiently obtain solutions. Sanyal et al [27] presented a framework for generating tours which focus on interesting objects.…”
Section: Related Workmentioning
confidence: 99%
“…Therefore, we can appear hardware of motion control camera system based on wire. Next, we introduce various motion control method and our method [4][5][6]. …”
Section: Kinematic Of Motion Control Camera Based On Wiresmentioning
confidence: 99%
“…More recently, Benhamou et al [39,40] developed an inner contracting algorithm by splitting the complementary domain for box consistency. Shary [41,32] formulated inner and outer estimation algorithms for generalized linear systems.…”
Section: Quantified Interval Constraint Satisfactionmentioning
confidence: 99%