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...

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...

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 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...

query performance. Priority R-tree Segment tree Interval tree – A degenerate R-tree for one dimension (usually time). K-d tree Bounding volume hierarchy Spatial...

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...

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...

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

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...

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...

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...

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

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...

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...

expensive task. Storing objects in a space-partitioning data structure (k-d tree or BSP tree for example) makes it easy and fast to perform certain kinds of geometry...

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

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...

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...

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 GNU libavl Cormen...

connection function is K k c c ( x , z ) = ∑ k 1 , … , k d , ∑ j = 1 d k j = k k ! k 1 ! ⋯ k d ! ( 1 d ) k ∏ j = 1 d 1 ⌈ 2 k j x j ⌉ = ⌈ 2 k j z j ⌉ ,  for all ...

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...

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

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...

identifying matching keys from the new image. Lowe used a modification of the k-d tree algorithm called the best-bin-first search (BBF) method that can identify...

the Crit bit tree, and unlike most other spatial indexes, the PH-tree is a map rather than a multimap. A d-dimensional PH-tree is a tree of nodes where...

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...

Iterate (re-associate the points, and so on). Zhang proposes a modified k-d tree algorithm for efficient closest point computation. In this work a statistical...