USE OF THE SPATIAL KD-TREE IN COMPUTATIONAL PHYSICSAPPLICATIONS

Journal Article · Mon Jan 01 04:00:00 EST 2007 · Communications in Computational Physics

OSTI ID:979075

Khamayseh, Ahmed K ^[1]; Hansen, Glen ^[2]

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1. ORNL
2. Idaho National Laboratory (INL)

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.

• Research Organization: Oak Ridge National Laboratory (ORNL); Center for Computational Sciences
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 979075
• Journal Information: Communications in Computational Physics, Journal Name: Communications in Computational Physics Vol. 2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CONSTRUCTION
CONTAINMENT
DIMENSIONS
IMPLEMENTATION
PHYSICS
PROCESSING