Convex and Solid-Voids


Convex and Solid-Voids is a research project developed by the Design Computing Group at Faculty of Architecture, University of Lisbon.

Convex voids are 3d representations of open urban spaces auto-generated based on the input of surrounding buildings, topography and other urban limits. They are utilized to measure multiple morphological attributes regarding urban spaces and are aggregated to form Solid-Voids which act as containers for this data.


Sileryte, R., Cavic, L., & Beirao, J. N. (2017). Automated generation of versatile data model for analyzing urban architectural void. Computers, Environment and Urban Systems, 66, 130–144.

Cavic, L., Sileryte, R. & Beirão, J.N., 2017. 3D-INFORMED CONVEX SPACES – The Automated Generation of Convex Representation for Open Public Space Analysis. In 11th International Space Syntax Symposium. Lisbon.

Beirão, J. N., Chaszar, A., & Cavic, L. (2015). Analysis and Classification of Public Spaces Using Convex and Solid-Void Models, 102.

Cavic, L. & Beirão, J., 2014. Open Public Space Attributes and Categories – Complexity and Measurability. Magazine AR Architecture, Research, 2014/2 Volume XV, pp.15–24.

Beirão, J. N., Chazsar, A., & Cavic, L. (2014). Convex and Solid-Void Models for Analysis and Classification of Public Spaces. In R. S. N. Gu, S. Watanabe, H. Erhan, M. Hank Haeusler, W. Huang (Ed.) (pp. 253–262).

Download and Test the Tool

We request that you sign up to download and try our Convex and Solid-Voids tools. You can access the software and tutorials here.


José Nuno Beirão
José Nuno BeirãoHead of DCG and Professor of Architecture

Rui de Klerk
Rui de KlerkPhd Candidate

Ljiljana ?avi?
Ljiljana ?avi?Phd

Joao Paulouro Neves
Joao Paulouro NevesPhd Candidate

Elif Ensari
Elif EnsariPhd

Andre Chaszar
Andre Chaszar

Rusne Sileryte
Rusne SilerytePhd Candidate


DCG /// Design & Computation Group
Rua Sá Nogueira
Polo Universitário | Alto da Ajuda

Phone: +351 213 615 839