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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Optimizing the Layout of Proportional Symbol Maps: Polyhedra and Computation

Texto completo
Kunigami, Guilherme [1] ; de Rezende, Pedro J. [1] ; de Souza, Cid C. [1] ; Yunes, Tallys [2]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Estadual Campinas, Inst Comp, BR-13083852 Campinas, SP - Brazil
[2] Univ Miami, Sch Business Adm, Coral Gables, FL 33124 - USA
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: INFORMS JOURNAL ON COMPUTING; v. 26, n. 2, p. 199-207, SPR 2014.
Citações Web of Science: 4

Proportional symbol maps are a cartographic tool to assist in the visualization and analysis of quantitative data associated with specific locations, such as earthquake magnitudes, oil well production, and temperature at weather stations. As the name suggests, symbol sizes are proportional to the magnitude of the physical quantities that they represent. We present two novel integer linear programming (ILP) models to solve this computational geometry problem: how to draw opaque disks on a map so as to maximize the total visible border of all disks. We focus on drawings obtained by layering symbols on top of each other, also known as stacking drawings. We introduce decomposition techniques as well as several families of facet-defining inequalities, which are used to strengthen the ILP models that are supplied to a commercial solver. We demonstrate the effectiveness of our approach through a series of computational experiments using hundreds of instances generated from real demographic and geophysical data sets. To the best of our knowledge, we are the first to use ILP to tackle this problem, and the first to provide provably optimal symbol maps for those data sets. (AU)

Processo FAPESP: 07/52015-0 - Métodos de aproximação para computação visual
Beneficiário:Jorge Stolfi
Linha de fomento: Auxílio à Pesquisa - Temático