Proceedings of the 11 th Space Syntax Symposium 3D-INFORMED CONVEX SPACES The Automated Generation of Convex Representation for Open Public Space Analysis 158.1 #158 3D-INFORMED CONVEX SPACES The Automated Generation of Convex Representation for Open Public Space Analysis LJILJANA CAVIC CIAUD, Faculty of Architecture , University of Lisbon ljiljana.cavic.arh@gmail.com RUSNE SILERYTE CIAUD, Faculty of Architecture , University of Lisbon rusne.sileryte@gmail.com JOSÉ NUNO BEIRÃO CIAUD, Faculty of Architecture , University of Lisbon jnb@fa.ulisboa.pt ABSTRACT Studies on open public spaces are based on representational models that can until some extent encompass their intrinsic complexity involving some simpliication of reality based on tractability purposes and research interests. In order to construct a representational model for analysis of open public spaces the paper proposes an automated method for space compartmentalization into unique convex non-overlapping spatial units aiming at preserving most of the available structural and semiotic data which could be further visualized and organised in more lexible manner. It addresses the representational issues of open public spaces starting by convex spaces representation, as deined by Space Syntax methodology, looking at its strengths and weaknesses regarding the robustness of rules, sensitivity to tri-dimensional context and importance of topography. Based on that, a 3D-informed algorithm for convex spaces’ construction is divided in two main parts: (a) space triangulation; and (b) triangle aggregation for convex space generation. The irst part encodes tri-dimensional urban limits, vertical, horizontal and topographical which are further used as the basis for triangulation. The second part allows for triangles’ aggregation into convex spaces according to convexity thresholds and a function of space superiority or dominance. Finally, the analytical applicability of the model is demonstrated on the case study of riverside Lisbon whence some advantages of 3D-informed map in comparison to other representational models, such as VGA, RCL and Space Syntax’s convex space model are pointed out. In addition, some applications of the new 3D-informed convex map are presented: a) the map makes part of a broader versatile data model; b) the proposed 3D-informed convex spaces are used as the basis for tri-dimensional representational models of Convex, Solid and Fragmented Voids whose generative algorithms are briely presented.