Klee's measure problem

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:geographic_information_systems
computer graphics
database systems
gptkbp:complexity2D O(n log n)
gptkbp:complexityHigherD O(n^{d/2})
gptkbp:describes computing the measure of the union of n d-dimensional rectangles
gptkbp:field gptkb:geometry
gptkbp:hasDimensionParameter d
https://www.w3.org/2000/01/rdf-schema#label Klee's measure problem
gptkbp:input n axis-aligned rectangles
gptkbp:introducedIn 1977
gptkbp:namedAfter gptkb:Victor_Klee
gptkbp:openProblem optimal complexity for d > 2
gptkbp:output Lebesgue measure of union
gptkbp:relatedTo computational complexity
rectangle union
sweep line algorithm
gptkbp:bfsParent gptkb:Victor_Klee
gptkbp:bfsLayer 5