@Article{CiCP-2-545,
author = {A. Khamayseh and G. Hansen},
title = {Use of the Spatial KD-Tree in Computational Physics Applications},
journal = {Communications in Computational Physics},
year = {2007},
volume = {2},
number = {3},
pages = {545--576},
abstract = {<p style="text-align: justify;">The need to perform spatial queries and searches is commonly encountered
within the field of computational physics. The development of applications ranging
from scientific visualization to finite element analysis requires efficient methods of locating domain objects relative to general locations in space. Much of the time, it is
possible to form and maintain spatial relationships between objects either explicitly
or by using relative motion constraints as the application evolves in time. Occasionally, either due to unpredictable relative motion or the lack of state information, an
application must perform a general search (or ordering) of geometric objects without
any explicit spatial relationship information as a basis. If previous state information
involving domain geometric objects is not available, it is typically an involved and
time consuming process to create object adjacency information or to order the objects
in space. Further, as the number of objects and the spatial dimension of the problem
domain is increased, the time required to search increases greatly. This paper proposes
an implementation of a spatial k-d tree (skD-tree) for use by various applications when
a general domain search is required. The skD-tree proposed in this paper is a spatial
access method where successive tree levels are split along different dimensions. Objects are indexed by their centroid, and the minimum bounding box of objects in a
node are stored in the tree node. The paper focuses on a discussion of efficient and
practical algorithms for multidimensional spatial data structures for fast spatial query
processing. These functions include the construction of a skD-tree of geometric objects,
intersection query, containment query, and nearest neighbor query operations.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7918.html}
}