Geometric query types for data retrieval in relational databases

Temporal Databases and Data Warehouses are essential components of intelligent information systems inCyberworlds. This paper describes a geometric model for querying time-dependent data in databases and warehouses. An implementation and application of the model for querying of results of numerical simulation in Molecular Dynamics is discussed. Data are interpreted geometrically as multidimensional points with time dimension. A geometric query is a query solid of any shape specified by its parameters, location and time. These queries are formulated with geometric objects and operations over them to form the query solid. The geometric objects and operations are described with implicit functions. With the uniform geometric model for querying time-dependent data, 3D visualization tools can be naturally incorporated into the molecular dynamics visualization system to pose the queries.

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“…We extended the geometric query model proposed in [5] with time dimension. A geometric object can be a set of points P…”

Section: Query Model For Time-dependent Datamentioning

confidence: 99%

“…In work [5], we proposed and fully described geometric query model with implicit functions [6]. Then, in work [7], we proposed a uniform geometric model for clustering and querying multidimensional data.…”

Section: Introductionmentioning

confidence: 99%

Geometric Querying of Time-Dependent Data for Data Mining in Molecular Dynamics

Sourina

Korolev

2004 International Conference on Cyberworlds

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“…Here, we briefly introduce properties of implicit modeling and the models we used in our system. Let fl, f2 and f3 be three implicit functions, GI, G2 and G3 be geometric objects, En be n-dimensional space, then the set-theoretical operations union, intersection, complement, difference and cartesian product can be mathematically defined as [147]:…”

Section: Implicit Modelingmentioning

confidence: 99%

“…is an extension of the model that was introduced first in work [147]. As it was shown there, geometric interpretation of relational algebra selection operation can be phrased as follows: "find out the points that belong to the solid."…”

Section: Cluster Queryingmentioning

confidence: 99%