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Tree data structure that partitions a 2D area
A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are the two-dimensional analog of octrees and are
Quadtree
Mapping function that preserves data point locality
and used directly, which is called a linear quadtree, or they can be used to build a pointer based quadtree. The input points are usually scaled in each
Z-order_curve
Data structure in computer science
subdividing it into eight octants. Octrees are the three-dimensional analog of quadtrees. The word is derived from oct (Greek root meaning "eight") + tree. Octrees
Octree
Algorithm for speeding up cellular automaton simulations
infinite grid, with the pattern in question centered near the origin. A quadtree (with sharing of nodes) is used to represent the field. A node at the kth
Hashlife
Encoded data represented in binary notation
An example of a recursive binary space partitioning quadtree for a 2D index
Binary_code
Method for recursively subdividing a space into two subsets using hyperplanes
generalization of other spatial tree structures such as k-d trees and quadtrees, one where hyperplanes that partition the space may have any orientation
Binary_space_partitioning
Approximation algorithm for the n-body problem
Dynamic visualization of the quadtree structure of the Barnes-Hut algorithm for the 2D N-body problem
Barnes–Hut_simulation
Concept in computational geometry
constant k > 1. The algorithm uses shifted quadtrees. The key concept of the algorithm is alignment to the quadtree grid. An object of size r is called k-aligned
Maximum_disjoint_set
Computer Software
fluid mechanics) using various data structures (including of course the quadtree/octree) and optimized operators for iteration, derivation, etc. Solvers
Gerris_(software)
are merged to create the segmented result. The technique incorporates a quadtree data structure, meaning that there is a parent-child node relationship
Split_and_merge_segmentation
Hierarchical data structure for storing spatial information
Internet of Things and simulations. Quadtrees have been used as database indexes since the 1970s. A disadvantage of quadtrees, called "stickiness", is that
Fieldtree
Data organization and storage formats
Implicit k-d tree Min/max k-d tree Relaxed k-d tree Adaptive k-d tree Quadtree Octree Linear octree Z-order UB-tree R-tree R+ tree R* tree Hilbert R-tree
List_of_data_structures
American computer scientist (born 1951)
paradigms. Finkel and J.L. Bentley created the data structure called the quadtree. Finkel was born in Chicago. He entered the University of Chicago, where
Raphael_Finkel
Database of data representing objects in geometric space
complex objects as compared using an arbitrary metric. Octree PH-tree Quadtree R-tree: Typically the preferred method for indexing spatial data. Objects
Spatial_database
Geospatial vector data format
{content-type: text/plain OR application/vnd.shp } .qix — an alternative quadtree spatial index used by MapServer and GDAL/OGR software {content-type: application/vnd
Shapefile
Tiling of the hyperbolic plane
called a Böröczky tiling) is a tiling of the hyperbolic plane, resembling a quadtree over the Poincaré half-plane model of the hyperbolic plane. The tiles are
Binary_tiling
Spatial index that partitions space based on the bit-representation of keys
partitioning index with a structure similar to that of a quadtree or octree. However, unlike quadtrees, it uses a splitting policy based on tries and similar
PH-tree
2013 open and royalty-free video coding format
called superblocks of 64×64 pixels which are adaptively subpartitioned in a quadtree coding structure. They can be subdivided either horizontally or vertically
VP9
Form of data structure
regular objects such as heightfields and polygon meshes tend to employ quadtrees and octrees, which are specialized variants of a 3D bounding box hierarchy
Scene_graph
Raster graphics file format
huffman-delta-run-length encoded color-mapped image 33 huffman-delta-run-length-4-pass-quadtree-type process encoded color-mapped image Image type 1 and 9: Depending on
Truevision_TGA
Geometrical object
subpavings. In computation, a well-known application of subpaving in R² is the Quadtree data structure. In image tracing context and other applications is important
Subpaving
Algorithm for generating contour lines on a 2D scalar field
Cueto, E.; Doblaré, M. (2005). "A natural neighbour Galerkin method with quadtree structure". International Journal for Numerical Methods in Engineering
Marching_squares
Concept in numerical analysis
energy converters. Adaptive stepsize Cactus Framework Multigrid method Quadtree Silo (library) Berger, Marsha J.; Oliger, Joseph (1984). "Adaptive mesh
Adaptive_mesh_refinement
Method for representing and evaluating partial differential equations
Wróblewski, P.; Midura, M. (October 2021). "A Finite Volume Method using a Quadtree Non-Uniform Structured Mesh for Modeling in Electrical Capacitance Tomography"
Finite_volume_method
Data structure in computer science
tree, B+ tree, B*-tree, UB-tree) Dancing tree Fusion tree k-d tree Octree Quadtree R-tree Radix tree Top tree Lehman, Tobin J.; Carey, Michael J. (25–28 August
T-tree
Video compression format, succeeds H.264/MPEG-4 AVC
Kirchhoffer; Haricharan Lakshman; et al. "Video Compression Using Nested Quadtree Structures, Leaf Merging and Improved Techniques for Motion Representation
High_Efficiency_Video_Coding
Shape with four equal sides and angles
on the subdivision of images into larger square blocks of pixels. The quadtree data structure used in data compression and computational geometry is based
Square
of a cube Q {\displaystyle Q} . The main idea of the proof is to use a quadtree (in two dimensions), octree (in three dimensions), or their higher dimensional
Whitney_covering_lemma
Partition of Earth's surface into subdivided cells
the cell ID. The ID is usually used as spatial index (such as internal Quadtree or k-d tree), but is also possible to transform ID into a human-readable
Discrete_global_grid
Family of map projections
com/CylindricalEqual-AreaProjection.html Tobler, Waldo and Chen, Zi-tan(1986). A Quadtree for Global Information Storage. http://www.geog.ucsb.edu/~kclarke/Geography232/Tobler1986
Cylindrical equal-area projection
Cylindrical_equal-area_projection
Printed or web-based listing of businesses by category
Google Maps, which utilized AJAX (Asynchronous JavaScript and XML) and a quadtree tiling system. This allowed browsers to fetch pre-rendered map tiles in
Business_directory
Software that enables a real time 3D view of the Earth
server while the user navigates around. The data itself is saved in a Quadtree. It uses data from NASA, USGS, the CIA and the city of Osnabrück. One of
Earth3D
GPU microarchitecture by Nvidia
the use of new RT (ray-tracing) cores, which are designed to process quadtrees and spherical hierarchies, and speed up collision tests with individual
Turing_(microarchitecture)
Brand of Nvidia graphics cards used in workstations
accelerated by the use of new RT cores, which are designed to process quadtrees and spherical hierarchies, and speed up collision tests with individual
Quadro
Plotting by a computer application
Quadtrees can be used for hierarchical path finding
Pathfinding
Data structure used in image rendering
easier to implement, performs worse than a quadtree implementation. They find that as it is, [...] a quadtree data structure seems more adapted than the
Level_set_(data_structures)
Multidimensional search tree for points in k dimensional space
that the discriminants in each node are arbitrary Related variations: Quadtree, a space-partitioning structure that splits in two dimensions simultaneously
K-d_tree
Technology developed by Microsoft
into tiles and then displayed as required. The tiling typically follows a quadtree pattern of increasing resolution of image (in other words twice the zoom
Deep_Zoom
largest coding unit size. The arrangement of CUs in a CTB is known as a quadtree since a subdivision results in four smaller regions. CUs are then divided
Coding_tree_unit
Geocode system for identifying an area anywhere on the Earth
Grid Reference System Universal Transverse Mercator coordinate system Quadtree Geohash Rwerekane, Valentin; Ndashimye, Maurice (2017). "Natural Area Coding
Natural_Area_Code
Series of GPUs by Nvidia
accelerated by the use of new RT cores, which are designed to process quadtrees and spherical hierarchies, and speed up collision tests with individual
GeForce_RTX_20_series
Video codec
compression efficiency, AVS2 adopts a block partition structure based on the quadtree, including the CU (Coding Unit), PU (Prediction Unit) and TU (Transform
Audio_Video_Standard
Map distorting size to show another value
variety of approaches that have been proposed include cellular automata, quadtree partitions, cartographic generalization, medial axes, spring-like forces
Cartogram
Partition of a surface into contiguous cells
and Kimerling in which equal area cells are deemed of prime importance. Quadtrees are a specialised form of grid in which the resolution of the grid is
Grid_(spatial_index)
Procedure to convert 3D scenes to 2D images
and acceleration techniques using spatial subdivision schemes such as quadtrees or octrees. These are also used to reduce the amount of main memory required
Graphics_pipeline
American computer scientist
PhD at Stanford University in 1975. Samet is a pioneer in research on quadtrees and other multidimensional spatial data structures for sorting spatial
Hanan_Samet
Statistical method in data analysis
are too large to make it practically usable. Methods exist which use quadtrees that demonstrate O ( n 2 ) {\displaystyle {\mathcal {O}}(n^{2})} total
Hierarchical_clustering
Division of an entire space into ≥2 disjoint subsets
quadrants or locations. Common space-partitioning systems include: BSP trees Quadtrees Octrees k-d trees Bins Suppose the n-dimensional Euclidean space is partitioned
Space_partitioning
Partitioning a digital image into segments
Split-and-merge segmentation is based on a quadtree partition of an image. It is sometimes called quadtree segmentation. This method starts at the root
Image_segmentation
Open-source Java software library
intersection Efficient point in polygon Spatial index structures including quadtree and STR-tree Planar graph structures and algorithms Reading and writing
JTS_Topology_Suite
Scientific computing software library
include: Cartesian and unstructured volume and surface meshes Parallel linear quadtree/octree with load balancing and 2:1 balancing (PABLO - PArallel Balanced
Bitpit
Expression of a function as the composition of two functions
minimization, decision trees, grammatical inference, hierarchical clustering, and quadtree decomposition are all examples of function decomposition. Many statistical
Functional_decomposition
reconstruction of trees from two of the trees' traversal orderings, and quadtree construction. On a sequential computer, all nearest smaller values may
All_nearest_smaller_values
Compression method for digital images
8351509, which have been considerably analyzed. In summary, it is a simple quadtree block-copying system with neither the bandwidth efficiency nor PSNR quality
Fractal_compression
Stochastically generated naturalistic terrain
of mathematical art software Outerra Scenery generator Terragen Octree Quadtree "The Fractal Geometry of Nature". Archived from the original on 2002-06-05
Fractal_landscape
Numerical method
one pseudoparticle. These algorithms arrange all particles in a tree, a quadtree in the two-dimensional case and an octree in the three-dimensional case
Discrete_element_method
Boruvka's algorithm Kruskal's algorithm Prim's algorithm Steiner tree Quadtree Node Child node Parent node Leaf node Root node Root (graph theory) Tree
List_of_graph_theory_topics
Video coding format
hierarchical, repeatable s-tree structures that are similar to modified quadtrees. These simple structures provide intrinsic capabilities, such as massive
VC-6
Award in theoretical computer science
products, and transportation". 2011 Hanan Samet For "pioneering research on quadtrees and other multidimensional spatial data structures for sorting spatial
Paris_Kanellakis_Award
Italian-Canadian computer scientist
quadtrees and octrees,[C][D] and in particular for introducing the use of hash tables in place of pointer-based structures for representing quadtrees
Irene_Gargantini
Stack-based method for clustering
can also be achieved in a different way, by a technique that overlays a quadtree-based priority queue data structure on top of the distance matrix and uses
Nearest-neighbor chain algorithm
Nearest-neighbor_chain_algorithm
Term in computer science
under the spatial partitioning umbrella, which includes octrees (for 3D), quadtrees (for 2D), binary space partitioning (or BSP trees) and other, similar
Collision_detection
Karp 1974 – Pollard's p − 1 algorithm developed by John Pollard 1974 – Quadtree developed by Raphael Finkel and J.L. Bentley 1975 – Genetic algorithms
Timeline_of_algorithms
grid files BANG file Lattice graph Grid (spatial index) Index (database), quadtree, k-d tree, UB-tree, R-tree, range tree as alternatives. J. Nievergelt,
Grid_file
Number of edge slopes in graph drawing
also be bounded by the ring lemma, which in turn implies that using a quadtree to place each graph vertex on a point within its circle will produce slopes
Slope_number
American computer scientist
1986 Tucker, Lewis W. "Control strategy for an expert vision system using quadtree refinement." In Proceedings of the IEEE workshop on Computer vision: Representation
Lew_Tucker
Modification using the principle of template matching
into sub-images, each with their own parameter space, and organized in a quadtree structure. It results in improved efficiency in finding endpoints of line
Generalised_Hough_transform
Hypercube partition of Euclidean space
extending results from harmonic analysis to the metric space setting. Quadtree Wavelet transform Okikiolu, Kate (1992). "Characterization of subsets of
Dyadic_cubes
Geographer Waldo Tobler's publications
1996 American Journal of Ophthalmology doi:10.1016/0002-9394(86)90648-3 A Quadtree for Global Information Storage Zi-tan Chen 1986 Geographical analysis doi:10
Waldo_Tobler_bibliography
Method in geometry for representing a polygon by a topological skeleton
closest pair data structure updates. A closest pair data structure based on quadtrees provides an O(nr + n log n) time algorithm, or a significantly more complicated
Straight_skeleton
plane Projective geometry (for graphical projection see 3D projection) Quadtree Quasi-Monte Carlo method Radiosity Raster graphics Raster graphics editor
List of computer graphics and descriptive geometry topics
List_of_computer_graphics_and_descriptive_geometry_topics
type of scene management technique, such as PVS, portal/sector, KdTree, quadtrees, octrees etc. Shaders are also a concept that is kept independent from
Visualization_Library
"Convex Hulls", "Binary Space Partitions", "Robot Motion Planning", "Quadtrees", "Visibility Graphs", "Simplex Range Searching". Jean-Daniel Boissonnat;
List of books in computational geometry
List_of_books_in_computational_geometry
Computational geometry problem
to O ( n d − 1 ) {\displaystyle O(n^{d-1})} for d ≥ 3 by using dynamic quadtrees. In 1988, Mark Overmars and Chee Yap proposed an O ( n d / 2 log n )
Klee's_measure_problem
QUADTREE
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Boy/Male
Muslim
Travel
Girl/Female
Indian
A decorative design
Boy/Male
Indian, Tamil
Lighting
Boy/Male
Hindu, Indian, Marathi
Fragrant
Girl/Female
Arabic, Muslim
Good Tiding
Female
Welsh
Variant spelling of Welsh Gwenhwyvach, possibly GWENEVAK means "Gwengwy the less." In Arthurian legend, this is the name of the sister of Guinevere (Gwenhwyvar). She may have been wife to Mordred.
Male
Dutch
, kingly, powerful; or, horn of the sun.
Female
English
Variant spelling of English Jacquelyn, JAQUELINE means "supplanter."
Girl/Female
Hindu, Indian, Kannada
Gift
Girl/Female
American, Anglo, Australian, British, English, German
Noble Strength
QUADTREE
QUADTREE
QUADTREE
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