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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 space. K-dimensional is that which concerns exactly k orthogonal axes or a space of any number of dimensions. [1] k-d trees are a useful data structure for several applications, such as:
The use of octrees for 3D computer graphics was pioneered by Donald Meagher at Rensselaer Polytechnic Institute, described in a 1980 report "Octree Encoding: A New Technique for the Representation, Manipulation and Display of Arbitrary 3-D Objects by Computer", [1] for which he holds a 1995 patent (with a 1984 priority date) "High-speed image generation of complex solid objects using octree ...
In computer 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 the search efficiency of a balanced k-d tree , while providing the block-oriented storage of a B-tree for optimizing external memory accesses.
If K = 1, a relaxed K-d tree is a binary search tree. As in a K-d tree, a relaxed K-d tree of size n induces a partition of the domain D into n+1 regions, each corresponding to a leaf in the K-d tree. The bounding box (or bounds array) of a node {x,j} is the region of the space delimited by the leaf in which x falls when it is inserted into the ...
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Buddleja globosa, also known as the orange-ball-tree, [1] orange ball buddleja, and matico, is a species of flowering plant endemic to Chile and Argentina, where it grows in dry and moist forest, from sea level to 2,000 m. [2] The species was first described and named by Hope in 1782. [3]
The terms "min/max k-d tree" and "implicit k-d tree" are sometimes mixed up.This is because the first publication using the term "implicit k-d tree" [1] did actually use explicit min/max k-d trees but referred to them as "implicit k-d trees" to indicate that they may be used to ray trace implicitly given iso surfaces.
This page was last edited on 13 June 2011, at 20:46 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...