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This paper reports on a primary metric tool developed in a collaboration between an architecture researcher and a computer science researcher. The development of this tool emerged from the concept that the spatial openness (SO)—the volume of free space measured from all possible observation points—is an important quality indicator of alternative spatial configurations within given constraints; this concept is based on the idea that the geometry and morphology of the built-up environment influence perception. Previous work showed that comparative SO measurements in alternative spatial configurations are correlated with the comparative perceived density, and in particular that a higher value of SO indicates a lower perceived density. We present a feasible 3D computational method for measuring SO and demonstrate its potential use in the design process. The SO metric is a step towards the development of quantitative comparative evaluation of building shapes and spatial configurations related to the 3D observation of open space.

The work reported here is a contribution by the authors to the search for reliable metric method for spatial evaluation, related to human perception of ‘openness’ and to the development of evaluation tools for urban planning and design. A recent innovation, the ‘spatial openness index’ (SOI), a quantitative index, based on a three-dimensional visual analysis of space is applied here. This approach reflects the hierarchical order found in the urban environment: dwelling unit, building, neighbourhood, etc. This index expresses oppenness to natural light, air, and near and distant views, for each level in the hierarchical order. At the basis of this work is the assumption that the SOI is correlated with the ‘perceived density’, evaluated by people responding to alternative spatial configurations. A preliminary indication test was carried out in order to justify this assumption. In this test, groups of spatial configurations with equal built masses were ranked both by their calculated SOI and by statistical analysis of perceived density evaluated by participating individuals. Good agreement was found between pairs of results obtained for most of the spatial configurations.

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The ability to predict the human perception of space in dense urban environments would have a vast impact on planning and design processes. Many analytical models, methods and tools have been developed to describe and predict human perception and behaviour in the urban environment, and academic papers have addressed the issue of the view in urban environments as a significant variant influencing perception and quality of life. In the present paper, we introduce the integration of weighted views (the relative impact of a view on a viewer) in a 3D Line of Sight visibility analysis as a predictive tool for perceptions of space focusing on ‘perceived density’. The integration of subjective qualitative information with objective measurements of the volume of visible space may bring evaluations closer to human perceptions of space. The research background consists of state-of-the-art visibility analysis and research concerned with the impact of the view on perceptions of space. An experiment in a visualization laboratory explored the relative impact of various views on the ‘perceived density’ and ‘visual privacy’ of 100 participants. The relative weight of each view presented to the subjects was based on the statistical results of the experiment. The weights were integrated into the 3D Line of Sight visibility analysis and the model is applied in a case study. The integrated 3D Line of Sight visibility analysis currently runs with off-the-shelf software available to all practicing architects and planners. It is expected that in the near future, the tool developed in this work will become an important aid to all practitioners, the method becoming a valuable evaluation tool in planning and design processes. Considering design alternatives, it may become a stepping stone for design principles and regulations.

Small apartments exist in dense cities worldwide. Developing adequate quality small apartments in city centres would strongly attract current demand. Analysis, predictive tools and design concepts regulated for better interior design and lower perceived density would provide residential environments with happier tenants. This research evaluates perceived density and visual privacy in alternative minimum apartments based on the spatial openness index three-dimensional visibility analysis, i.e. their accumulated three-dimensional visibility calculations. The compatibility of the spatial openness index concept as predicting perceived density in minimum apartments was examined and assessed. An empirical study was conducted using a virtual reality experiment in a controlled environment – An immersive three-dimensional visualisation laboratory1, with more than 100 subjects participated in the experiment. Significant relations were found between perceived density and visual privacy for all apartments (single and double story). The measured volume of visible space from the door viewpoint (the entrance to minimum apartments) and the perceived density evaluated there by participants, and a general evaluation for the apartment are strongly related for both (single and double story groups). Strong correlation was found between visibility measurements from the door and the ‘visual privacy’ at the sofa/bed. According to assessment results the spatial openness index three-dimensional visibility analysis can predict the perceived density of minimum apartments.

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