On the Generation of Linear Representations of Spatial Configuration

Peponis, John; Wineman, Jean; Bafna, Sonit; Rashid, M. H. M.; Kim, S H

doi:10.1068/b250559

Cited by 72 publications

(93 citation statements)

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“…They then added this to the criteria for an economic set: if any topological ring has not been completed by their previous algorithmöas is the case in figure 5(c)öthen a line that does complete it is added. The results of this improved algorithm, when applied to published hand-drawn examples from Hillier et al (1983), are so close to the originals as to be almost indistinguishable (see Peponis et al, 1998, page 572).…”

Section: All-line Axial Map Reductionmentioning

confidence: 59%

“…Batty and Rana (2004) propose a similar solution to that of Peponis et al (1998). They too first simplify the problem by generating a candidate set of lines and then reduce this set by using a greedy algorithm.…”

Section: Isovist Analysis Retrievalmentioning

confidence: 99%

“…However, in the literature the first real attempt at a solution is by Peponis et al (1998). Before attempting a solution, they first simplified the problem: rather than trying to find a minimal set of axial lines from the set of all possible axial lines (necessarily infinite, as there are infinite points to generate them within the space), they start with a subset of the lines first published by Penn et al (1997).…”

Section: All-line Axial Map Reductionmentioning

confidence: 99%

“…We then demonstrate that it is possible to generate precise axial maps according to the definition, but subject to a stricter definition of lines that may be eligible to be considered axial lines. Our solution is intimately intertwined with a previous solution by Peponis et al (1998), and our method generalises their solution to a generic arbitrary map of open space. Our technique, though, varies in two ways.…”

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confidence: 99%

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An Algorithmic Definition of the Axial Map

Turner

Penn

Hillier

2005

Environ Plann B Plann Des

150

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The fewest-line axial map, often simply referred to as the ‘axial map’, is one of the primary tools of space syntax. Its natural language definition has allowed researchers to draw consistent maps that present a concise description of architectural space; it has been established that graph measures obtained from the map are useful for the analysis of pedestrian movement patterns and activities related to such movement: for example, the location of services or of crime. However, the definition has proved difficult to translate into formal language by mathematicians and algorithmic implementers alike. This has meant that space syntax has been criticised for a lack of rigour in the definition of one of its fundamental representations. Here we clarify the original definition of the fewest-line axial map and show that it can be implemented algorithmically. We show that the original definition leads to maps similar to those currently drawn by hand, and we demonstrate that the differences between the two may be accounted for in terms of the detail of the algorithm used. We propose that the analytical power of the axial map in empirical studies derives from the efficient representation of key properties of the spatial configuration that it captures.

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Section: All-line Axial Map Reductionmentioning

confidence: 59%

Section: Isovist Analysis Retrievalmentioning

confidence: 99%

Section: All-line Axial Map Reductionmentioning

confidence: 99%

mentioning

confidence: 99%

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An Algorithmic Definition of the Axial Map

Turner

Penn

Hillier

2005

Environ Plann B Plann Des

150

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“…Progress has been slow at generating these lines automatically. Lack of agreement on their definition and lack of awareness as to how similar problems have been treated in fields such as pattern recognition, robotics and computer vision have inhibited explorations of the problem and only very recently have there been any attempts to evolve methods for the automated generation of such lines [7,8,4].…”

Section: Axial Maps As Skeletons For Urban Morphologymentioning

confidence: 99%

Automatic Extraction of Hierarchical Urban Networks: A Micro-Spatial Approach

Carvalho¹,

Batty

2004

Computational Science - ICCS 2004

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Abstract. We present an image processing technique for the identification of 'axial lines' [1] from ridges in isovist fields first proposed by Rana [2,3]. These ridges are formed from the maximum diametric lengths of the individual isovists, sometimes called viewsheds, that make up the isovist fields [4]. We discuss current strengths and weaknesses of the method, and show how it can be implemented easily and effectively.

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Space Syntax: A Network-Based Configurational Approach to Studying Urban Morphology

Rashid

2019

Modeling and Simulation in Science, Engineering and Technology

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On the Generation of Linear Representations of Spatial Configuration

Cited by 72 publications

References 0 publications

An Algorithmic Definition of the Axial Map

An Algorithmic Definition of the Axial Map

Automatic Extraction of Hierarchical Urban Networks: A Micro-Spatial Approach

Space Syntax: A Network-Based Configurational Approach to Studying Urban Morphology

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