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**Dynamic Visualization in Modelling and Optimization of
Ill Defined Problems: Case Studies and Generalizations**

**William F. Eddy and Audris Mockus**

### Abstract:

*We consider visualization as a decision optimization tool in
problems where the model and/or the objectives are not well
defined. We investigate four specific problems representing
different degrees of determination. The first problem concerns a
smooth dynamic representation of data collected at fixed
locations. In the example we want to minimize the deviations from
a desired temperature over space and time. The second and third
problems are the dynamic representation of observations in the
form of averages over regions in space and time, and they are
exemplified by epidemiological data. We are looking for
spatial-temporal patterns that can suggest the most efficient ways
of prevention and control. The fourth problem may be referred to
as visual indexing. We perform exploratory analysis of a large
collection of complex objects. The example is a dynamic index to
a collection of 30,000 images. We search for the "most
interesting" subsets of images via visual inspection of the index.
In all cases we define appropriate techniques for the visual
representation. We describe the software and hardware.
**
**Keywords:* Global Optimization, Interactive Graphics,
Noninteractive Graphics, Dynamic Index

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