Discrete & Computational Geometry
A convex hull algorithm for discs, and applications
Computational Geometry: Theory and Applications
An optimal algorithm for the intersection radius of a set of convex polygons
Journal of Algorithms
On linear-time deterministic algorithms for optimization problems in fixed dimension
Journal of Algorithms
Fuzzy geometry: an updated overview
Information Sciences: an International Journal
Structural tolerance and delauny triangulation
Information Processing Letters
Tight Error Bounds of Geometric Problems on Convex Objects with Imprecise Coordinates
JCDCG '00 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
Computational geometry.
Approximation algorithms for spreading points
Journal of Algorithms
Approximating largest convex hulls for imprecise points
Journal of Discrete Algorithms
Systems of distant representatives
Discrete Applied Mathematics - Structural decompositions, width parameters, and graph labelings (DAS 5)
Facility location problems with uncertainty on the plane
Discrete Optimization
Preprocessing Imprecise Points and Splitting Triangulations
SIAM Journal on Computing
Stochastic minimum spanning trees in euclidean spaces
Proceedings of the twenty-seventh annual symposium on Computational geometry
The Geometric Stability of Voronoi Diagrams with Respect to Small Changes of the Sites
Proceedings of the twenty-seventh annual symposium on Computational geometry
The directed Hausdorff distance between imprecise point sets
Theoretical Computer Science
Geometric computations on indecisive points
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Covering and piercing disks with two centers
ISAAC'11 Proceedings of the 22nd international conference on Algorithms and Computation
Nearest-neighbor searching under uncertainty
PODS '12 Proceedings of the 31st symposium on Principles of Database Systems
Covering and piercing disks with two centers
Computational Geometry: Theory and Applications
Range counting coresets for uncertain data
Proceedings of the twenty-ninth annual symposium on Computational geometry
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Imprecision of input data is one of the main obstacles that prevent geometric algorithms from being used in practice. We model an imprecise point by a region in which the point must lie. Given a set of imprecise points, we study computing the largest and smallest possible values of various basic geometric measures on point sets, such as the diameter, width, closest pair, smallest enclosing circle, and smallest enclosing bounding box. We give efficient algorithms for most of these problems, and identify the hardness of others.