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55 relations: ACM Transactions on Mathematical Software, Adaptive k-d tree, ALGLIB, Algorithm, Ball tree, Best bin first, Big O notation, Binary search tree, Binary space partitioning, Binary tree, Bounding interval hierarchy, Communications of the ACM, Computer graphics, Computer science, Curse of dimensionality, Data structure, David Mount, Euclidean space, Guillotine problem, Half-space (geometry), Heapsort, Hyperplane, Hyperrectangle, Hypersphere, Implicit k-d tree, Interval tree, Invariant (computer science), Jacob E. Goodman, Jon Bentley (computer scientist), Klee's measure problem, Median, Median of medians, Merge sort, Min/max kd-tree, Nearest neighbor search, Normal (geometry), Octree, Piotr Indyk, Plane (geometry), Point (geometry), Python (programming language), Quadtree, R-tree, Range searching, Ray tracing (graphics), Rectangle, Recursive partitioning, Relaxed k-d tree, SciPy, Selection algorithm, ..., Self-balancing binary search tree, Space partitioning, Tree (data structure), Tree rotation, Vantage-point tree. Expand index (5 more) »
ACM Transactions on Mathematical Software
ACM Transactions on Mathematical Software (TOMS) is a quarterly scientific journal that aims to disseminate the latest findings of note in the field of numeric, symbolic, algebraic, and geometric computing applications.
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Adaptive k-d tree
An adaptive k-d tree is a tree for multidimensional points where successive levels may be split along different dimensions.
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ALGLIB
ALGLIB is a cross-platform open source numerical analysis and data processing library.
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Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
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Ball tree
In computer science, a ball tree, balltree or metric tree, is a space partitioning data structure for organizing points in a multi-dimensional space.
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Best bin first
Best bin first is a search algorithm that is designed to efficiently find an approximate solution to the nearest neighbor search problem in very-high-dimensional spaces.
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Big O notation
Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.
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Binary search tree
In computer science, binary search trees (BST), sometimes called ordered or sorted binary trees, are a particular type of container: data structures that store "items" (such as numbers, names etc.) in memory.
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Binary space partitioning
In computer science, binary space partitioning (BSP) is a method for recursively subdividing a space into convex sets by hyperplanes.
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Binary tree
In computer science, a binary tree is a tree data structure in which each node has at most two children, which are referred to as the and the.
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Bounding interval hierarchy
A bounding interval hierarchy (BIH) is a partitioning data structure similar to that of bounding volume hierarchies or kd-trees.
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Communications of the ACM
Communications of the ACM is the monthly journal of the Association for Computing Machinery (ACM).
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Computer graphics
Computer graphics are pictures and films created using computers.
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Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
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Curse of dimensionality
The curse of dimensionality refers to various phenomena that arise when analyzing and organizing data in high-dimensional spaces (often with hundreds or thousands of dimensions) that do not occur in low-dimensional settings such as the three-dimensional physical space of everyday experience.
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Data structure
In computer science, a data structure is a data organization and storage format that enables efficient access and modification.
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David Mount
David Mount is a professor at University of Maryland Department of Computer Science (College Park Campus) whose research is in computational geometry.
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Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
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Guillotine problem
The guillotine problem is a problem in combinatorial geometry and in printing.
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Half-space (geometry)
In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space.
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Heapsort
In computer science, heapsort is a comparison-based sorting algorithm.
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Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
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Hyperrectangle
In geometry, an n-orthotopeCoxeter, 1973 (also called a hyperrectangle or a box) is the generalization of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.
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Hypersphere
In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.
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Implicit k-d tree
An implicit k-d tree is a ''k''-d tree defined implicitly above a rectilinear grid.
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Interval tree
In computer science, an interval tree is a tree data structure to hold intervals.
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Invariant (computer science)
In computer science, an invariant is a condition that can be relied upon to be true during the execution of a program, or during some portion of it.
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Jacob E. Goodman
Jacob Eli Goodman (born November 15, 1933) is an American geometer who has spent most of his career at the City College of New York, where he is now professor emeritus.
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Jon Bentley (computer scientist)
Jon Louis Bentley (born February 20, 1953 in Long Beach, California)Biography from.
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Klee's measure problem
In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular ranges can be computed.
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Median
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.
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Median of medians
In computer science, the median of medians is an approximate (median) selection algorithm, frequently used to supply a good pivot for an exact selection algorithm, mainly the quickselect, that selects the kth largest element.
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Merge sort
In computer science, merge sort (also commonly spelled mergesort) is an efficient, general-purpose, comparison-based sorting algorithm.
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Min/max kd-tree
A min/max kd-tree is a ''k''-d tree with two scalar values - a minimum and a maximum - assigned to its nodes.
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Nearest neighbor search
Nearest neighbor search (NNS), as a form of proximity search, is the optimization problem of finding the point in a given set that is closest (or most similar) to a given point.
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Normal (geometry)
In geometry, a normal is an object such as a line or vector that is perpendicular to a given object.
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Octree
An octree is a tree data structure in which each internal node has exactly eight children.
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Piotr Indyk
Piotr Indyk is a Professor in the Theory of Computation Group at the Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology.
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Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
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Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
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Python (programming language)
Python is an interpreted high-level programming language for general-purpose programming.
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Quadtree
A quadtree is a tree data structure in which each internal node has exactly four children.
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R-tree
R-trees are tree data structures used for spatial access methods, i.e., for indexing multi-dimensional information such as geographical coordinates, rectangles or polygons.
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Range searching
In data structures, the range searching problem most generally consists of preprocessing a set S of objects, in order to determine which objects from S intersect with a query object, called a range.
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Ray tracing (graphics)
In computer graphics, ray tracing is a rendering technique for generating an image by tracing the path of light as pixels in an image plane and simulating the effects of its encounters with virtual objects.
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Rectangle
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
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Recursive partitioning
Recursive partitioning is a statistical method for multivariable analysis.
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Relaxed k-d tree
A relaxed K-d tree or relaxed K-dimensional tree is a data structure which is a variant of K-d trees.
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SciPy
SciPy (pronounced /ˈsaɪpaɪ'/ "Sigh Pie") is a free and open-source Python library used for scientific computing and technical computing.
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Selection algorithm
In computer science, a selection algorithm is an algorithm for finding the kth smallest number in a list or array; such a number is called the kth order statistic.
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Self-balancing binary search tree
In computer science, a self-balancing (or height-balanced) binary search tree is any node-based binary search tree that automatically keeps its height (maximal number of levels below the root) small in the face of arbitrary item insertions and deletions.
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Space partitioning
In geometry, space partitioning is the process of dividing a space (usually a Euclidean space) into two or more disjoint subsets (see also partition of a set).
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Tree (data structure)
In computer science, a tree is a widely used abstract data type (ADT)—or data structure implementing this ADT—that simulates a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes.
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Tree rotation
In discrete mathematics, tree rotation is an operation on a binary tree that changes the structure without interfering with the order of the elements.
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Vantage-point tree
A vantage-point tree (or VP tree) is a metric tree that segregates data in a metric space by choosing a position in the space (the "vantage point") and partitioning the data points into two parts: those points that are nearer to the vantage point than a threshold, and those points that are not.
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Redirects here:
Extended k-d tree, Kd tree, Kd-tree, Kd-trie, Kdtree.
References
[1] https://en.wikipedia.org/wiki/K-d_tree
