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Graph modeling of a floor plan with isovist graph

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DOI:

https://doi.org/10.51094/jxiv.1166

Keywords:

spatial analysis, floor plan, isovist, cover problem, mathematical programing, lazy constraint

Abstract

Space Syntax has been the subject of considerable research regarding the geometry and topology of spaces. However, image information such as texture and color is outside the scope of Space Syntax. However, deep learning methods for images and graphs are evolving, and combining these methods is expected to improve spatial analysis. As images change depending on where they are captured, it is important to know where they are captured. Especially in spaces with few partitions or irregular systems, it can be difficult to define the center of the space. In this study, we define an isovist graph as “a spatial model that covers a closed plane with a minimum or near-minimum number of isovist while ensuring centrality and connectivity,” and propose a method for rigorously obtaining such a model in a discrete problem setting. This study demonstrated that an exact solution can be obtained quickly for many of the tested spatial models in accordance with the intention.

Conflicts of Interest Disclosure

The authors declare that they have received research funding from JSPS. However, this funding had no influence on the design, execution, analysis, or reporting of this study.

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Submitted: 2025-03-31 08:34:38 UTC

Published: 2025-04-04 05:09:09 UTC

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Atsushi Takizawa

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