scholarly journals Secure and Efficient Data Retrieval Process based on Hilbert Space Filling Curve

2014 ◽  
Vol 91 (4) ◽  
pp. 36-40
Author(s):  
N. S.JeyaKarthikka ◽  
S. Bhaggiaraj ◽  
V. Sumathy
Author(s):  
Todd Eavis

In multi-dimensional database environments, such as those typically associated with contemporary data warehousing, we generally require effective indexing mechanisms for all but the smallest data sets. While numerous such methods have been proposed, the R-tree has emerged as one of the most common and reliable indexing models. Nevertheless, as user queries grow in terms of both size and dimensionality, R-tree performance can deteriorate significantly. Moreover, in the multi-terabyte spaces of today’s enterprise warehouses, the combination of data and indexes ? R-tree or otherwise ? can produce unacceptably large storage requirements. In this chapter, the authors present a framework that addresses both of these concerns. First, they propose a variation of the classic R-tree that specifically targets data warehousing architectures. Their new LBF R-tree not only improves performance on common user-defined range queries, but gracefully degrades to a linear scan of the data on pathologically large queries. Experimental results demonstrate a reduction in disk seeks of more than 50% relative to more conventional R-tree designs. Second, the authors present a fully integrated, block-oriented compression model that reduces the storage footprint of both data and indexes. It does so by exploiting the same Hilbert space filling curve that is used to construct the LBF R-tree itself. Extensive testing demonstrates compression rates of more than 90% for multi-dimensional data, and up to 98% for the associated indexes.


2007 ◽  
Vol Vol. 9 no. 2 ◽  
Author(s):  
Patrice Séébold

International audience Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.


2018 ◽  
Vol 7 (2.31) ◽  
pp. 50 ◽  
Author(s):  
S Jeya Bharathi ◽  
K Thiagarajan ◽  
K Navaneetham

Ordered Factor Patterns in a word over an ordered alphabet aredefined.  Also, Parikh StrictlyAscending FactorMatrix and Parikh StrictlyDescending Factor Matrix of a given word are introduced.  The relation of these matrices with Ordered Factor Patterns is discussed.  Moreover, the ParikhStrictly Ascending FactorMatrices and the Parikh Strictly Descending FactorMatricesfor finitewords of Rectangular Hilbert Space Filling Curve are determined.  


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