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==Some common uses of quadtrees== [[Image:Quad tree bitmap.svg|thumb|upright=1.7|A bitmap and its compressed quadtree representation]] * Image representation * [[#Image processing using quadtrees|Image processing]] * [[#Mesh generation using quadtrees|Mesh generation]]<ref>{{cite journal |first1=Damian |last1=Wanta |first2=Waldemar T. |last2=Smolik |first3=Jacek |last3=Kryszyn |first4=Przemysław |last4=Wróblewski |first5=Mateusz |last5=Midura |title=A Finite Volume Method using a Quadtree Non-Uniform Structured Mesh for Modeling in Electrical Capacitance Tomography |journal=Proceedings of the National Academy of Sciences, India Section A |year=2021 |volume=92 |issue=3 |pages=443–452 |doi=10.1007/s40010-021-00748-7 |s2cid=244224810 |doi-access=free }}</ref> * [[Spatial index]]ing, point location queries, and range queries * Efficient [[collision detection]] in two dimensions * [[Hidden face removal#Viewing frustum culling|View frustum culling]] of terrain data * Storing sparse data, such as a formatting information for a [[spreadsheet]]<ref>{{Cite book | title = Spreadsheet Implementation Technology: Basics and Extensions | last = Sestoft | first = Peter | publisher = The MIT Press | year = 2014 | isbn = 9780262526647 | pages = 60–63 }}</ref> or for some matrix calculations{{citation needed|date=June 2015}} * Solution of multidimensional [[Field (physics)|fields]] ([[computational fluid dynamics]], [[electromagnetism]]) * [[Conway's Game of Life]] simulation program.<ref>{{cite web|url=http://www.ddj.com/hpc-high-performance-computing/184406478 |title=An Algorithm for Compressing Space and Time |author=Tomas G. Rokicki |date=2006-04-01 |access-date=2009-05-20}}</ref> * [[State estimation]]<ref>Henning Eberhardt, Vesa Klumpp, Uwe D. Hanebeck, ''Density Trees for Efficient Nonlinear State Estimation'', Proceedings of the 13th International Conference on Information Fusion, Edinburgh, United Kingdom, July, 2010.</ref> * Quadtrees are also used in the area of fractal image analysis * [[Maximum disjoint set#Fat objects with arbitrary sizes: PTAS|Maximum disjoint sets]]
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