Convex maps, some basic concepts and a new method to generate them
2013 (English)In: Architectural Morphology: Investigative modelling and spatial analysis / [ed] Daniel Koch & Pablo Miranda Carranza, Stockholm: KTH Royal Institute of Technology, 2013, 1-6 p.Conference paper (Other academic)
Convex maps were first introduced by Hillier and Hanson in The social logic of space (1984), and have since become a standard diagram of space syntax, particularly in the analysis of interior of buildings. Despite their extensive use, computer generation of convex maps is a difficult task. The original guidelines to draw convex maps by hand have been shown to be impossible to translate into a formal description of the type necessary for a computer program (Penn 1997). Algorithmic methods for generating convex maps are useful at a prac-tical level, since a rigorous algorithmic description of the process affords a consistent application of the method and the reproducibility of results. Besides its practical importance, the development of algorithmic methods to generate convex partitions implies also a re-examination of their role as diagrams and represent-tations of space, and their difference with other types of diagrams used in spatial analysis.
Considering the difficulties of translating into an algorithm the original procedure described by Hillier and Hanson, we have looked at alternatives methods for producing convex maps in the field of shape analysis. In particular we have studied a set of problems which deal with the decomposition of shapes into simpler parts and which are conceptually related to the convex map. Our method uses the medial axis transform, a well known shape descriptor first proposed by H.Blum in 1967, to subdivide architectural plans into non overlap-ping, convex partitions. Our method produces convincing convex partitions and maps, which often coincide with those resulting from following the original hand-drawn method. Its results can be used for representing the organisation of spaces at the level of simplicity and abstraction of the original convex partitions proposed by Hillier and Hanson, and to allow the study of their configuration through the application of different graph measures and visualisation techniques.
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. 1-6 p.
convex space, computational geometry, spatial analysis, space syntax
IdentifiersURN: urn:nbn:se:kth:diva-138625OAI: oai:DiVA.org:kth-138625DiVA: diva2:681681
Architectural Morphology: Investigative modelling and spatial analysis
FunderEU, FP7, Seventh Framework Programme, 242497
QC 201401102013-12-202013-12-202014-01-10Bibliographically approved