Spatially distributed area coverage optimisation in mobile robotic networks with arbitrary convex anisotropic patterns

[1]  Franz Aurenhammer,et al.  Power Diagrams: Properties, Algorithms and Applications , 1987, SIAM J. Comput..

[2]  Polar Patterns , 2009 .

[3]  Konrad J. Swanepoel,et al.  Helly-type theorems for homothets of planar convex curves , 2002 .

[4]  Thomas Weise,et al.  Global Optimization Algorithms -- Theory and Application , 2009 .

[5]  Sonia Martínez,et al.  Coverage control for mobile sensing networks , 2002, IEEE Transactions on Robotics and Automation.

[6]  Jacob E. Goodman,et al.  On the largest convex polygon contained in a non-convex n-gon, or how to peel a potato , 1981 .

[7]  Harley Flanders,et al.  Differentiation Under the Integral Sign , 1973 .

[8]  Vijay Kumar,et al.  Sensing and coverage for a network of heterogeneous robots , 2008, 2008 47th IEEE Conference on Decision and Control.

[9]  Naomi Ehrich Leonard,et al.  Collective Motion, Sensor Networks, and Ocean Sampling The goal is design and control of optimum trajectories for mobile sensor networks, like a fleet of self-directed underwater gliders that move with ocean currents and sample dynamic ocean variables. , 2007 .

[10]  Jorge Cortes,et al.  Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms , 2009 .

[11]  Franz Aurenhammer,et al.  Handbook of Computational Geometry , 2000 .

[12]  Alexander Getmanenko.  Helly-type Theorems for Plane Convex Curves , 2000 .

[13]  Anthony Tzes,et al.  Convex Voronoi-inspired space partitioning for heterogeneous networks: a coverage-oriented approach , 2010 .

[14]  A. Robin Forrest,et al.  Interactive interpolation and approximation by Bézier polynomials , 1990, Comput. Aided Des..

[15]  S. Hirche,et al.  Voronoi based coverage control with anisotropic sensors , 2008, 2008 American Control Conference.

[16]  George J. Pappas,et al.  Distributed connectivity control of mobile networks , 2007, 2007 46th IEEE Conference on Decision and Control.

[17]  Anthony Tzes,et al.  Coverage-oriented coordination of mobile heterogeneous networks , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[18]  Francesco Bullo,et al.  Esaim: Control, Optimisation and Calculus of Variations Spatially-distributed Coverage Optimization and Control with Limited-range Interactions , 2022 .

[19]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[20]  J. Sack,et al.  Handbook of computational geometry , 2000 .

[21]  J. Cortes,et al.  Coverage control by robotic networks with limited-range anisotropic sensory , 2008, 2008 American Control Conference.