Multidimensional access methods

@article{Gaede1998MultidimensionalAM,
  title={Multidimensional access methods},
  author={Volker Gaede and Oliver G{\"u}nther},
  journal={ACM Comput. Surv.},
  year={1998},
  volume={30},
  pages={170-231}
}
Search operations in databases require special support at the physical level. This is true for conventional databases as well as spatial databases, where typical search operations include the point query (find all objects that contain a given search point) and the region query (find all objects that overlap a given search region). More than ten years of spatial database research have resulted in a great variety of multidimensional access methods to support such operations. We give an overview… 
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The packing of non spatial data converts the data into a form that paves the way for multidimensional access, similar to using spatial access methods for spatial data, and the proposal of a new index structure, Hilbert ZR+ Tree [HZR- Tree].
Evaluating the spatial indexing of dense point sets
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  • Computer Science
    2013 26th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)
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TLDR
An evaluation of the mqr-tree as a spatial access method for handling high-density point regions, such as world co-ordinates shows that the mqa-tree can index high- density point regions effectively and requires far fewer disk accesses than the R-tree when point density is very high.
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The new High Resolution Indexing (HRI) method can easily be integrated into general purpose DBMSs and outperforms competitive techniques that are implementable on top of a standard object-relational DBMS by an order of magnitude with respect to secondary storage space and overall query response time.
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A cost-based adaptive clustering method to improve average performance of spatial queries over large collections of multidimensional extended objects (hyper-intervals or hyper-rectangles) and employs a new grouping criterion to group objects in clusters, more efficient than traditional approaches based on minimum bounding in all dimensions.
Fast Retrieval by Spatial Structure in Image Databases
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The proposed approach extends the existing framework of indexing using SAMs to treat image content in conjunction with two well-known image-matching methods, namely the editing distance on Attributed Relational Graphs (ARGs) and the Hungarian method for graph matching.
An efficient method for the retrieval of objects by topological relations in spatial database systems
  • P. Lin, W. Tan
  • Mathematics, Computer Science
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  • 2003
TLDR
A new method is presented to improve the performance of query processing in a spatial database by adding internal rectangle to the leaf nodes of the R-tree as additional information for helping objects retrieval.
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References

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TLDR
This paper shows that the availability of such information allows us to decide at an early stage that numerous objects fullll the spatial predicate are needed for the z-ordering method, which leads to signiicant performance improvements for the spatial selection as well as for theatial intersection join.
Storage and Access Structures for Geometric Data Bases
TLDR
A data base system for CAD must manage “in designer real time” large collections not of points, but of spatial objects, in such a way that proximity queries are answered efficiently.
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TLDR
This paper presents an empirically derived formula to assess the expected redundancy for the z-ordering approximation technique given some simple parameters and shows the applicability of this formula to a large class of different object geometries.
The Fieldtree: A Data Structure for Geographic Information Systems
TLDR
The Fieldtree is described, a data structure that provides one of such access methods for spatial databases and has been designed for GIS and similar applications, where range queries are predominant and spatial nesting and overlaping of objects are common.
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TLDR
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TLDR
The optimal use of redundancy for z- order is explored through analysis of the z-order search algorithm and through experiments.
A qualitative comparison study of data structures for large line segment databases
A qualitative comparative study is performed of the performance of three popular spatial indexing methods - the R-tree, R+-tree, and the PMR quadtree-in the context of processing spatial queries in…
Performance Comparison of Point and Spatial Access Methods
TLDR
A performance comparison of multidimensional point access methods under arbitrary data distributions and under various types of queries and was surprised to see one method to be the clear winner which was the BUDDY hash tree, which exhibits an at least 20 % better average performance than its competitors and is robust under ugly data and queries.
Techniques for Design and Implementation of Efficient Spatial Access Methods
TLDR
This paper presents a classification of existing spatial access methods and shows that they use one of the following three techniques: clipping, overlapping regions, and transformation, and suggests a hybrid method combining the techniques of overlapping regions and transformation.
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TLDR
This work unifies much of the work on spatial query processing capabilities by identifying common principles and distilling them into a small set of constructs that can be supported with only minor modifications to current DBMS implementations.
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