# OptMap: Using Dense Maps for Visualizing Multidimensional Optimization Problems

### Mateus Espadoto, Mateus Espadoto, Francisco Rodrigues, Francisco Rodrigues, Nina Hirata, Alexandru Telea

#### Abstract

Operations Research is a very important discipline in many industries, and although there were many developments since its inception, to our knowledge there are no visualization tools focused on helping users understand the decision variablesâ€™ domain space and its constraints for problems with more than two input dimensions. In this paper, we propose OptMap, a technique that enables the visual exploration of optimization problems using a two-dimensional dense map, regardless of the number of variables and constraints in the problem and for any kind of single-valued objective function. We show the technique in action for several optimization problems of different types, such as linear, nonlinear and integer, constrained and unconstrained problems.

Download#### Paper Citation

#### in Harvard Style

Espadoto M., Rodrigues F., Hirata N. and Telea A. (2021). **OptMap: Using Dense Maps for Visualizing Multidimensional Optimization Problems**.In *Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,* ISBN 978-989-758-488-6, pages 123-132. DOI: 10.5220/0010288501230132

#### in Bibtex Style

@conference{ivapp21,

author={Mateus Espadoto and Francisco Rodrigues and Nina Hirata and Alexandru Telea},

title={OptMap: Using Dense Maps for Visualizing Multidimensional Optimization Problems},

booktitle={Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,},

year={2021},

pages={123-132},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010288501230132},

isbn={978-989-758-488-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP,

TI - OptMap: Using Dense Maps for Visualizing Multidimensional Optimization Problems

SN - 978-989-758-488-6

AU - Espadoto M.

AU - Rodrigues F.

AU - Hirata N.

AU - Telea A.

PY - 2021

SP - 123

EP - 132

DO - 10.5220/0010288501230132