A lattice model for data display
- 17 December 2002
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
In order to develop a foundation for visualization, we develop lattice models for data objects and displays that focus on the fact that data objects are approximations to mathematical objects and real displays are approximations to ideal displays. These lattice models give us a way to quantize the information content of data and displays and to define conditions on the visualization mappings from data to displays. Mappings satisfy these conditions if and only if they are lattice isomorphisms. We show how to apply this result to scientific data and display models, and discuss how it might be applied to recursively defined data types appropriate for complex information processing.Keywords
This publication has 11 references indexed in Scilit:
- Display of scientific data structures for algorithm visualizationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- VISAGE: an object-oriented scientific visualization systemPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- A data model for scientific visualization with provisions for regular and irregular gridsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Research issues in the foundations of visualizationIEEE Computer Graphics and Applications, 1994
- ConManACM SIGGRAPH Computer Graphics, 1988
- FRAMES: Software tools for modeling, rendering and animation of 3D scenesACM SIGGRAPH Computer Graphics, 1987
- GRAPE: An environment to build display processesACM SIGGRAPH Computer Graphics, 1987
- Automating the design of graphical presentations of relational informationACM Transactions on Graphics, 1986
- Data Types as LatticesSIAM Journal on Computing, 1976
- The lattice of flow diagramsPublished by Springer Nature ,1971