Geometric Querying for Dynamic Exploration of Multidimensional Data

This paper describes a geometric query model for dynamic exploring multidimensional data. An application of the model for solving the problem of meterials selection in product design is discussed. Data from database are interpreted geometrically as multidimensional points. A query window is a query solid of any shape specified by its location. The queries are formulated with geometric objects and operations over them. The geometric objects and operations are described with implicit functions. The process of query specification is visualized. The user poses the queries through graphics interface accessing dynamically multidimensional points, geometric primitives and applying geometric operations over them.

[1]  A. Ricci,et al.  A Constructive Geometry for Computer Graphics , 1973, Computer/law journal.

[2]  Olga Sourina,et al.  Geometric Query Types for Data Retrieval in Relational Databases , 1998, Data Knowl. Eng..

[3]  Jarke J. van Wijk,et al.  HyperSlice - Visualization of Scalar Functions of Many Variables , 1993, IEEE Visualization.

[4]  A. Buja,et al.  Prosection Views: Dimensional Inference through Sections and Projections , 1994 .

[5]  Yvan Bédard,et al.  Integrating GIS components with knowledge discovery technology for environmental health decision support , 2003, Int. J. Medical Informatics.

[6]  Vadim Shapiro,et al.  Real functions for representation of rigid solids , 1994, Comput. Aided Geom. Des..

[7]  Eric Petajan,et al.  Research report. DataSpace: 3-D visualizations of large databases , 1995, Proceedings of Visualization 1995 Conference.

[8]  Deborah Silver,et al.  Extending object-oriented databases with problem solving and visualization , 1993, Comput. Graph..

[9]  Brian Wyvill,et al.  Introduction to Implicit Surfaces , 1997 .

[10]  Pat Hanrahan,et al.  Polaris: A System for Query, Analysis, and Visualization of Multidimensional Relational Databases , 2002, IEEE Trans. Vis. Comput. Graph..

[11]  Maureen C. Stone,et al.  Enhanced dynamic queries via movable filters , 1995, CHI '95.

[12]  Daniel A. Keim,et al.  Information Visualization and Visual Data Mining , 2002, IEEE Trans. Vis. Comput. Graph..

[13]  Gultekin Özsoyoglu,et al.  A framework for feature-based indexing for spatial databases , 1994, Seventh International Working Conference on Scientific and Statistical Database Management.

[14]  Carl Franklin,et al.  An Introduction to Geographic Information Systems: Linking Maps to Databases [and] Maps for the Rest of Us: Affordable and Fun. , 1992 .

[15]  Richard Reviewer-Granger.  Unified Theories of Cognition , 1991, Journal of Cognitive Neuroscience.

[16]  Gultekin Özsoyoglu,et al.  A scientific database system for polymers and materials engineering needs , 1994, Seventh International Working Conference on Scientific and Statistical Database Management.

[17]  George W. Furnas,et al.  [Prosection Views: Dimensional Inference through Sections and Projections]: Rejoinder , 1994 .

[18]  Ben Shneiderman,et al.  Visual Information Seeking: Tight Coupling of Dynamic Query Filters with Starfield Displays , 1994 .