to k-d trees. In computer science, a k-d tree (short for k-dimensional tree) is a space-partitioning data structure for organizing points in a k-dimensional...

science, a K-D-B-tree (k-dimensional B-tree) is a tree data structure for subdividing a k-dimensional search space. The aim of the K-D-B-tree is to provide...

relaxed K-d tree or relaxed K-dimensional tree is a data structure which is a variant of K-d trees. Like K-dimensional trees, a relaxed K-dimensional tree stores...

An implicit k-d tree is a k-d tree defined implicitly above a rectilinear grid. Its split planes' positions and orientations are not given explicitly but...

An adaptive k-d tree is a tree for multidimensional points where successive levels may be split along different dimensions. Samet, Hanan (2006). Foundations...

range tree is an alternative to the k-d tree. Compared to k-d trees, range trees offer faster query times of (in Big O notation) O ( log d ⁡ n + k ) {\displaystyle...

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 X-tree...

prohibitive. For high-dimensional data, tree-based exact vector search techniques such as the k-d tree and R-tree do not perform well enough because of...

R-tree Segment tree Interval tree – A degenerate R-tree for one dimension (usually time). K-d tree Bounding volume hierarchy Spatial index GiST R Tree cs...

requirements. It can be seen as a generalization of other spatial tree structures such as k-d trees and quadtrees, one where hyperplanes that partition the space...

Left-leaning red–black tree AVL tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Scapegoat tree Splay tree T-tree WAVL tree Cormen, Thomas H.;...

an m-ary tree (for nonnegative integers m) (also known as n-ary, k-ary or k-way tree) is an arborescence (or, for some authors, an ordered tree) in which...

for arbitrary Minkowski metrics, which can be accelerated using k-d trees and ball trees but which uses worst-case quadratic memory. A contribution to scikit-learn...

are worth mentioning for completeness, but they have been surpassed by k-d trees as tools for generalized binary search. Point quadtrees are constructed...

The k-minimum spanning tree problem, studied in theoretical computer science, asks for a tree of minimum cost that has exactly k vertices and forms a subgraph...

30 (1): 104–114. doi:10.1137/0130013. Hwang, F. K.; Richards, D. S.; Winter, P. (1992). The Steiner Tree Problem. Annals of Discrete Mathematics. Vol. 53...

B C D E F G H I J K L M N O P Q R S T U V W X Y Z absolute performance guarantee abstract data type (ADT) abstract syntax tree (AST) (a,b)-tree accepting...

more subtrees. The k-th subtree is recursively built of all elements b such that d ( a , b ) = k {\displaystyle d(a,b)=k} . BK-trees can be used for approximate...

simplest such procedure is termed the "k-d Construction Algorithm", by analogy with the process used to construct k-d trees. This is an offline algorithm, that...

variable definitions: K: Maximum number of potential search keys for each node in a B-tree. (this value is constant over the entire tree). p t i {\displaystyle...

Nielsen et al. This iterative partitioning process is similar to that of a k-d tree, but uses circular (or spherical, hyperspherical, etc.) rather than rectilinear...

A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all...

octrees are not the same as k-d trees: k-d trees split along a dimension and octrees split around a point. Also k-d trees are always binary, which is...

access the kth entry of the dictionary in a constant time. Let D ( k ) {\displaystyle D(k)} denote this kth entry. Under these hypotheses, the test to see...

New York City Dissociation constant (KD), a type of equilibrium constant K-d tree, a data structure in computing Kawasaki disease, an inflammatory disease...

locations. Common space-partitioning systems include: BSP trees Quadtrees Octrees k-d trees Bins R-trees Suppose the n-dimensional Euclidean space is partitioned...

(BSP-Tree): Subdividing space by hyperplanes. Bounding volume hierarchy (BVH) Geohash Grid (spatial index) HHCode Hilbert R-tree k-d tree m-tree – an...

In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting...

been developed for solving the NNS problem. Perhaps the simplest is the k-d tree, which iteratively bisects the search space into two regions containing...

A k-ary tree (for nonnegative integers k) is a rooted tree in which each vertex has at most k children. 2-ary trees are often called binary trees, while...