A linear octree is an
octree
An octree is a tree data structure in which each internal node has exactly eight children. Octrees are most often used to partition a three-dimensional space by recursively subdividing it into eight octants. Octrees are the three-dimensional anal ...
that is represented by a linear
array
An array is a systematic arrangement of similar objects, usually in rows and columns.
Things called an array include:
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Music
* In twelve-tone and serial composition, the presentation of simultaneous twelve-tone sets such that the ...
instead of a
tree data structure
In computer science, a tree is a widely used abstract data type that represents a hierarchical tree structure with a set of connected nodes. Each node in the tree can be connected to many children (depending on the type of tree), but must be conn ...
.
To simplify implementation, a linear octree is usually complete (that is, every
internal node
In computer science, a tree is a widely used abstract data type that represents a hierarchical tree structure with a set of connected nodes. Each node in the tree can be connected to many children (depending on the type of tree), but must be conn ...
has exactly 8 child nodes) and where the maximum permissible depth is fixed a priori (making it sufficient to store the complete list of
leaf node
In computer science, a tree is a widely used abstract data type that represents a hierarchical tree structure with a set of connected nodes. Each node in the tree can be connected to many children (depending on the type of tree), but must be conn ...
s). That is, all the nodes of the octree can be generated from the list of its leaf nodes.
Space filling curves
In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square (or more generally an ''n''-dimensional unit hypercube). Because Giuseppe Peano (1858–1932) was the first to discover one, spac ...
are often used to represent linear octrees.
Trees (data structures)
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