Multiattribute hashing using Gray codes
SIGMOD '86 Proceedings of the 1986 ACM SIGMOD international conference on Management of data
Spatial query processing in an object-oriented database system
SIGMOD '86 Proceedings of the 1986 ACM SIGMOD international conference on Management of data
Hierarchical representations of collections of small rectangles
ACM Computing Surveys (CSUR)
Gray Codes for Partial Match and Range Queries
IEEE Transactions on Software Engineering
Redundancy in spatial databases
SIGMOD '89 Proceedings of the 1989 ACM SIGMOD international conference on Management of data
Fractals for secondary key retrieval
PODS '89 Proceedings of the eighth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
The R*-tree: an efficient and robust access method for points and rectangles
SIGMOD '90 Proceedings of the 1990 ACM SIGMOD international conference on Management of data
The Grid File: An Adaptable, Symmetric Multikey File Structure
ACM Transactions on Database Systems (TODS)
Extendible hashing—a fast access method for dynamic files
ACM Transactions on Database Systems (TODS)
Attribute based file organization in a paged memory environment
Communications of the ACM
A class of data structures for associative searching
PODS '84 Proceedings of the 3rd ACM SIGACT-SIGMOD symposium on Principles of database systems
R-trees: a dynamic index structure for spatial searching
SIGMOD '84 Proceedings of the 1984 ACM SIGMOD international conference on Management of data
The R+-Tree: A Dynamic Index for Multi-Dimensional Objects
VLDB '87 Proceedings of the 13th International Conference on Very Large Data Bases
Proceedings of the Sixth International Conference on Data Engineering
SIGMOD '92 Proceedings of the 1992 ACM SIGMOD international conference on Management of data
A review of recent work on multi-attribute access methods
ACM SIGMOD Record
CIKM '93 Proceedings of the second international conference on Information and knowledge management
Multi-step processing of spatial joins
SIGMOD '94 Proceedings of the 1994 ACM SIGMOD international conference on Management of data
SIGMOD '95 Proceedings of the 1995 ACM SIGMOD international conference on Management of data
SIGMOD '95 Proceedings of the 1995 ACM SIGMOD international conference on Management of data
On the analysis of indexing schemes
PODS '97 Proceedings of the sixteenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Multidimensional access methods
ACM Computing Surveys (CSUR)
Object-oriented retrieval mechanism for semistructured image collections
MULTIMEDIA '98 Proceedings of the sixth ACM international conference on Multimedia
Managing Statistical Behavior of Large Data Sets in Shared-Nothing Architectures
IEEE Transactions on Parallel and Distributed Systems
Efficient input and output for scientific simulations
Proceedings of the sixth workshop on I/O in parallel and distributed systems
Snakes and sandwiches: optimal clustering strategies for a data warehouse
SIGMOD '99 Proceedings of the 1999 ACM SIGMOD international conference on Management of data
Nonlinear array layouts for hierarchical memory systems
ICS '99 Proceedings of the 13th international conference on Supercomputing
Recursive array layouts and fast parallel matrix multiplication
Proceedings of the eleventh annual ACM symposium on Parallel algorithms and architectures
Using semantic caching to manage location dependent data in mobile computing
MobiCom '00 Proceedings of the 6th annual international conference on Mobile computing and networking
Multidimensional Index Structures in Relational Databases
Journal of Intelligent Information Systems - Data warehousing and knowledge discovery
Object and query transformation: supporting multi-dimensional queries through code reuse
Proceedings of the ninth international conference on Information and knowledge management
Distributed Processing of Similarity Queries
Distributed and Parallel Databases
Querying the trajectories of on-line mobile objects
Proceedings of the 2nd ACM international workshop on Data engineering for wireless and mobile access
GeMDA: A Multidimensional Data Partitioning Technique for Multiprocessor Database Systems
Distributed and Parallel Databases
Irregularity in multi-dimensional space-filling curves with applications in multimedia databases
Proceedings of the tenth international conference on Information and knowledge management
ACM Computing Surveys (CSUR)
Window Query Processing in Linear Quadtrees
Distributed and Parallel Databases
Low latency photon mapping using block hashing
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Efficient Parallel Algorithms for Solvent Accessible Surface Area of Proteins
IEEE Transactions on Parallel and Distributed Systems
Broadcasting and caching policies for location-dependent queries in urban areas
WMC '02 Proceedings of the 2nd international workshop on Mobile commerce
Caching Strategies for Spatial Joins
Geoinformatica
A New Indexing Scheme for Content-Based Image Retrieval
Multimedia Tools and Applications
Semantic Data Broadcast for a Mobile Environment Based on Dynamic and Adaptive Chunking
IEEE Transactions on Computers
CCAM: A Connectivity-Clustered Access Method for Networks and Network Computations
IEEE Transactions on Knowledge and Data Engineering
Analysis of the n-Dimensional Quadtree Decomposition for Arbitrary Hyperrectangles
IEEE Transactions on Knowledge and Data Engineering
Similarity Searching in Medical Image Databases
IEEE Transactions on Knowledge and Data Engineering
Scalability Analysis of Declustering Methods for Multidimensional Range Queries
IEEE Transactions on Knowledge and Data Engineering
Declustering and Load-Balancing Methods for Parallelizing Geographic Information Systems
IEEE Transactions on Knowledge and Data Engineering
Fast and Effective Retrieval of Medical Tumor Shapes
IEEE Transactions on Knowledge and Data Engineering
Analysis of the Clustering Properties of the Hilbert Space-Filling Curve
IEEE Transactions on Knowledge and Data Engineering
Recursive Array Layouts and Fast Matrix Multiplication
IEEE Transactions on Parallel and Distributed Systems
Toward an Accurate Analysis of Range Queries on Spatial Data
IEEE Transactions on Knowledge and Data Engineering
Prefetching Tiled Internet Data Using a Neighbor Selection Markov Chain
IICS '01 Proceedings of the International Workshop on Innovative Internet Computing Systems
Study of Scalable Declustering Algorithms for Parallel Grid Files
IPPS '96 Proceedings of the 10th International Parallel Processing Symposium
Robust Image Retrieval Based on Texture Information
MDIC '01 Proceedings of the Second International Workshop on Multimedia Databases and Image Communication
Fast Outlier Detection in High Dimensional Spaces
PKDD '02 Proceedings of the 6th European Conference on Principles of Data Mining and Knowledge Discovery
Parallel Algorithms for High-dimensional Similarity Joins for Data Mining Applications
VLDB '97 Proceedings of the 23rd International Conference on Very Large Data Bases
R-Tree Based Indexing of Now-Relative Bitemporal Data
VLDB '98 Proceedings of the 24rd International Conference on Very Large Data Bases
High Level Indexing of User-Defined Types
VLDB '99 Proceedings of the 25th International Conference on Very Large Data Bases
VLDB '94 Proceedings of the 20th International Conference on Very Large Data Bases
Hilbert R-tree: An Improved R-tree using Fractals
VLDB '94 Proceedings of the 20th International Conference on Very Large Data Bases
Generalized Search Trees for Database Systems
VLDB '95 Proceedings of the 21th International Conference on Very Large Data Bases
Semantic Data Caching and Replacement
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
Filter Trees for Managing Spatial Data over a Range of Size Granularities
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
Fast Nearest Neighbor Search in Medical Image Databases
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
Texture Indexing by a Hierarchical Representation
Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Clustering Techniques for Minimizing External Path Length
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
Selectivity Estimation Without the Attribute Value Independence Assumption
VLDB '97 Proceedings of the 23rd International Conference on Very Large Data Bases
Efficient Region Query Processing by Optimal Page Ordering
ADBIS-DASFAA '00 Proceedings of the East-European Conference on Advances in Databases and Information Systems Held Jointly with International Conference on Database Systems for Advanced Applications: Current Issues in Databases and Information Systems
Adaptation of a Neighbor Selection Markov Chain for Prefetching Tiled Web GIS Data
ADVIS '02 Proceedings of the Second International Conference on Advances in Information Systems
Implementation of Multidimensional Index Structures for Knowledge Discovery in Relational Databases
DaWaK '99 Proceedings of the First International Conference on Data Warehousing and Knowledge Discovery
Optimal Multidimensional Query Processing Using Tree Striping
DaWaK 2000 Proceedings of the Second International Conference on Data Warehousing and Knowledge Discovery
Approximate k -Closest-Pairs with Space Filling Curves
DaWaK 2000 Proceedings of the 4th International Conference on Data Warehousing and Knowledge Discovery
ICOIN '02 Revised Papers from the International Conference on Information Networking, Wireless Communications Technologies and Network Applications-Part II
On Multi-dimensional Hilbert Indexings
COCOON '98 Proceedings of the 4th Annual International Conference on Computing and Combinatorics
Interval Sequences: An Object-Relational Approach to Manage Spatial Data
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
Robustness of a Neighbor Selection Markov Chain in Prefetching Tiled Web Data
AISA '02 Proceedings of the First International Workshop on Advanced Internet Services and Applications
Optimal Page Ordering for Region Queries in Static Spatial Databases
DEXA '00 Proceedings of the 11th International Conference on Database and Expert Systems Applications
Indexing Values in Continuous Field Databases
EDBT '02 Proceedings of the 8th International Conference on Extending Database Technology: Advances in Database Technology
On Multi-dimensional Sorting Orders
DEXA '00 Proceedings of the 11th International Conference on Database and Expert Systems Applications
Using extended feature objects for partial similarity retrieval
The VLDB Journal — The International Journal on Very Large Data Bases
Speeding up construction of PMR quadtree-based spatial indexes
The VLDB Journal — The International Journal on Very Large Data Bases
Approximate query processing using wavelets
The VLDB Journal — The International Journal on Very Large Data Bases
On performance of quadrant-recursive spatial orders
Applied Mathematics and Computation
Implementing Geospatial Operations in an Object-Relational Database System
SSDBM '00 Proceedings of the 12th International Conference on Scientific and Statistical Database Management
Improving OLAP Performance by Multidimensional Hierarchical Clustering
IDEAS '99 Proceedings of the 1999 International Symposium on Database Engineering & Applications
Spatial data management for virtual product development
Computer Science in Perspective
Analysis of Multi-Dimensional Space-Filling Curves
Geoinformatica
One torus to rule them all: multi-dimensional queries in P2P systems
Proceedings of the 7th International Workshop on the Web and Databases: colocated with ACM SIGMOD/PODS 2004
Object-based and image-based object representations
ACM Computing Surveys (CSUR)
Grid based methods for estimating spatial join selectivity
Proceedings of the 12th annual ACM international workshop on Geographic information systems
Outlier Mining in Large High-Dimensional Data Sets
IEEE Transactions on Knowledge and Data Engineering
Iterative-improvement-based declustering heuristics for multi-disk databases
Information Systems
Decoupling partitioning and grouping: Overcoming shortcomings of spatial indexing with bucketing
ACM Transactions on Database Systems (TODS)
SFCGen: A framework for efficient generation of multi-dimensional space-filling curves by recursion
ACM Transactions on Mathematical Software (TOMS)
Neighbor-finding based on space-filling curves
Information Systems
A near-optimal similarity join algorithm and performance evaluation
Information Sciences—Informatics and Computer Science: An International Journal
An approximate algorithm for top-k closest pairs join query in large high dimensional data
Data & Knowledge Engineering
A case study in building layered DHT applications
Proceedings of the 2005 conference on Applications, technologies, architectures, and protocols for computer communications
Efficiently processing queries on interval-and-value tuples in relational databases
VLDB '05 Proceedings of the 31st international conference on Very large data bases
Transform-Space View: Performing Spatial Join in the Transform Space Using Original-Space Indexes
IEEE Transactions on Knowledge and Data Engineering
Browsing mixed structured and unstructured data
Information Processing and Management: an International Journal
A scientific database system for polymers and materials engineering needs
SSDBM'1994 Proceedings of the 7th international conference on Scientific and Statistical Database Management
Exploiting sequential access when declustering data over disks and MEMS-based storage
Distributed and Parallel Databases
Spatio-temporal data warehouses using an adaptive cell-based approach
Data & Knowledge Engineering
Twins: A Dual Addressing Space Representation for Self-Organizing Networks
IEEE Transactions on Parallel and Distributed Systems
CISS: An efficient object clustering framework for DHT-based peer-to-peer applications
Computer Networks: The International Journal of Computer and Telecommunications Networking
A new algorithm for encoding and decoding the Hilbert order
Software—Practice & Experience
Optimal chunking of large multidimensional arrays for data warehousing
Proceedings of the ACM tenth international workshop on Data warehousing and OLAP
Rk-hist: an r-tree based histogram for multi-dimensional selectivity estimation
Proceedings of the sixteenth ACM conference on Conference on information and knowledge management
K-anonymization as spatial indexing: toward scalable and incremental anonymization
VLDB '07 Proceedings of the 33rd international conference on Very large data bases
Compact Hilbert indices: Space-filling curves for domains with unequal side lengths
Information Processing Letters
CLAM: concurrent location management for moving objects
Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems
DART: the distributed agent-based retrieval toolkit
CEA'07 Proceedings of the 2007 annual Conference on International Conference on Computer Engineering and Applications
Wireless network design: a space-filling curve approach
International Journal of Mobile Network Design and Innovation
ACM Transactions on Database Systems (TODS)
Sensing and acting with predefined trajectories
Proceedings of the 1st ACM international workshop on Heterogeneous sensor and actor networks
Hierarchical clustering for OLAP: the CUBE File approach
The VLDB Journal — The International Journal on Very Large Data Bases
Design and implementation trade-offs for wide-area resource discovery
ACM Transactions on Internet Technology (TOIT)
Reordering of Location Identifiers for Indexing an RFID Tag Object Database
DEXA '08 Proceedings of the 19th international conference on Database and Expert Systems Applications
An N-Dimensional Pseudo-Hilbert Scan for Arbitrarily-Sized Hypercuboids
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
An adaptive latency mitigation scheme for massively multiuser virtual environments
Journal of Network and Computer Applications
Query Integrity Assurance of Location-Based Services Accessing Outsourced Spatial Databases
SSTD '09 Proceedings of the 11th International Symposium on Advances in Spatial and Temporal Databases
Locality and bounding-box quality of two-dimensional space-filling curves
Computational Geometry: Theory and Applications
MICS: an efficient content space representation model for publish/subscribe systems
Proceedings of the Third ACM International Conference on Distributed Event-Based Systems
COP: privacy-preserving multidimensional partition in DAS paradigm
Proceedings of the 2009 EDBT/ICDT Workshops
Browsing mixed structured and unstructured data
Information Processing and Management: an International Journal
Density-based data clustering algorithms for lower dimensions using space-filling curves
PAKDD'07 Proceedings of the 11th Pacific-Asia conference on Advances in knowledge discovery and data mining
Location privacy in geospatial decision-making
DNIS'07 Proceedings of the 5th international conference on Databases in networked information systems
MIME: a dynamic index scheme for multi-dimensional query in mobile p2p networks
DASFAA'07 Proceedings of the 12th international conference on Database systems for advanced applications
Blind evaluation of nearest neighbor queries using space transformation to preserve location privacy
SSTD'07 Proceedings of the 10th international conference on Advances in spatial and temporal databases
Compression of digital road networks
SSTD'07 Proceedings of the 10th international conference on Advances in spatial and temporal databases
High-dimensional indexing: transformational approaches to high-dimensional range and similarity searches
An efficient mechanism for processing similarity search queries in sensor networks
Information Sciences: an International Journal
IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing
All-nearest-neighbors finding based on the Hilbert curve
Expert Systems with Applications: An International Journal
Irregularity in high-dimensional space-filling curves
Distributed and Parallel Databases
Grid-based probabilistic skyline retrieval on distributed uncertain data
DASFAA'11 Proceedings of the 16th international conference on Database systems for advanced applications
HD Tree: A novel data structure to support multi-dimensional range query for P2P networks
Journal of Parallel and Distributed Computing
SSDBM'11 Proceedings of the 23rd international conference on Scientific and statistical database management
P2P-based multidimensional indexing methods: A survey
Journal of Systems and Software
Error-Resilient Routing for Supporting Multi-dimensional Range Query in HD Tree
DS-RT '11 Proceedings of the 2011 IEEE/ACM 15th International Symposium on Distributed Simulation and Real Time Applications
The spatial indexing method for supporting a circular location property of object
AIRS'05 Proceedings of the Second Asia conference on Asia Information Retrieval Technology
Data storage in sensor networks for multi-dimensional range queries
ICESS'05 Proceedings of the Second international conference on Embedded Software and Systems
A pseudo-hilbert scan algorithm for arbitrarily-sized rectangle region
IWICPAS'06 Proceedings of the 2006 Advances in Machine Vision, Image Processing, and Pattern Analysis international conference on Intelligent Computing in Pattern Analysis/Synthesis
A generalized 3-D Hilbert scan using look-up tables
Journal of Visual Communication and Image Representation
A hilbert space compression architecture for data warehouse environments
DaWaK'07 Proceedings of the 9th international conference on Data Warehousing and Knowledge Discovery
Towards Robust Routing in HD Tree
DS-RT '12 Proceedings of the 2012 IEEE/ACM 16th International Symposium on Distributed Simulation and Real Time Applications
Insights for exascale IO APIs from building a petascale IO API
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
| Hi-index | 0.00 |
There is often a need to map a multi-dimensional space on to a one-dimensional space. For example, this kind of mapping has been proposed to permit the use of one-dimensional indexing techniques to a multi-dimensional index space such as in a spatial database. This kind of mapping is also of value in assigning physical storage, such as assigning buckets to records that have been indexed on multiple attributes, to minimize the disk access effort.In this paper, we discuss what the desired properties of such a mapping are, and evaluate, through analysis and simulation, several mappings that have been proposed in the past. We present a mapping based on Hilbert's space-filling curve, which out-performs previously proposed mappings on average over a variety of different operating conditions.