SCG '86 Proceedings of the second annual symposium on Computational geometry
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
No. 318 on SWAT 88: 1st Scandinavian workshop on algorithm theory
How to learn an unknown environment (extended abstract)
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Ray Shooting Amidst Convex Polyhedra and PolyhedralTerrains in Three Dimensions
SIAM Journal on Computing
Ray shooting amidst convex polygons in 2D
Journal of Algorithms
Ray Shooting Amidst Spheres in Three Dimensions and Related Problems
SIAM Journal on Computing
Conservative volumetric visibility with occluder fusion
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Robot Motion Planning
Visibility and its dynamics in a PDE based implicit framework
Journal of Computational Physics
Maximizing Visibility in Nonconvex Polygons: Nonsmooth Analysis and Gradient Algorithm Design
SIAM Journal on Control and Optimization
Redistancing by flow of time dependent eikonal equation
Journal of Computational Physics
Properties of a Level Set Algorithm for the Visibility Problems
Journal of Scientific Computing
Visibility of point clouds and mapping of unknown environments
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Sparse Occlusion Detection with Optical Flow
International Journal of Computer Vision
Maneuver-based motion planning for nonlinear systems with symmetries
IEEE Transactions on Robotics
Distance-Optimal Navigation in an Unknown Environment Without Sensing Distances
IEEE Transactions on Robotics
Detachable Object Detection: Segmentation and Depth Ordering from Short-Baseline Video
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We address the problem of exploring an unknown environment using a range sensor. In the presence of opaque objects of arbitrary shape and topology, exploration is driven by minimization of residual uncertainty, that is primarily due to lack of visibility. The resulting optimal control is approximated with a computationally efficient heuristic, that is proven to complete exploration of a compact environment in a finite number of steps.