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Isovists: Spatio-Visual Mathematics in Architecture

  • Michael J. OstwaldEmail author
  • Michael J. Dawes
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Abstract

This chapter introduces an important concept in architectural analysis, the isovist. Along with two associated concepts – the isovist field and the visibility graph – the isovist provides a mathematical basis for analyzing and shaping architectural space and form. Significantly, isovists can also be used for investigating, and even predicting, human behavioral and cognitive responses to buildings.

This chapter commences with an overview of both the isovist and isovist field, before describing their origins and applications. The chapter also presents a summary of past research that uses isovists to analyze architectural and urban space or seeks to correlate isovist measures with human perceptions. While the chapter does not provide detailed explanations of all the mathematical and computational processes involved, it does include a list of key isovist measures and their behavioral interpretations. The references cited in this chapter include detailed worked examples of isovist analysis along with discussion of limitations and recent developments.

Keywords

Isovists Isovist fields Visual graph analysis Spatio-visual analysis Space syntax 

References

  1. Bada Y, Farhi A (2009) Experiencing urban spaces: isovists properties and spatial use of plazas. Courrier Savoir 9:101–112Google Scholar
  2. Batty M (2001) Exploring isovist fields: space and shape in architectural and urban morphology. Environ Plan B: Plan Des 28(1):123–150Google Scholar
  3. Benedikt ML (1979) To take hold of space: isovists and isovist view fields. Environ Plan B: Plan Des 6(1):47–65Google Scholar
  4. Bhatia S, Chalup SK, Ostwald MJ (2013) Wayfinding: a method for the empirical evaluation of structural saliency using 3D isovists. Archit Sci Rev 56(3):220–231Google Scholar
  5. Braaksma JP, Cook JW (1980) Human orientation in transportation terminals. Transp Eng J 106(2):189–203Google Scholar
  6. Choudhary, R, Heo Y, Bafna S (2007) A study of variations among Mies’s courtyard houses by a combined set of all visual and environmental properties. In: Proceedings, 6th international space syntax symposium, Istanbul, 2007, pp 096.01–096.08Google Scholar
  7. Conroy R (2001) Spatial navigation in immersive virtual environments. Dissertation. University of LondonGoogle Scholar
  8. Conroy-Dalton R, Bafna, S. (2003) The syntactical image of the city: a reciprocal definition of spatial elements and spatial syntaxes. In: Proceedings, 4th international space syntax symposium, London, 2003, pp 59.1–59.22Google Scholar
  9. Davis LS, Benedikt ML (1979) Computational models of space: isovists and isovist fields. Comput Graph Image Process 11(1):49–72Google Scholar
  10. Dawes MJ, Ostwald MJ (2014a) Testing the ‘Wright Space’: using isovists to analyse prospect-refuge characteristics in Usonian architecture. J Archit 19(5):645–666Google Scholar
  11. Dawes MJ, Ostwald MJ (2014b) Prospect-refuge theory and the textile-block houses of Frank Lloyd Wright: an analysis of spatio-visual characteristics using isovists. Build Environ 80:228–240Google Scholar
  12. De Floriani L, Marzano P, Puppo E (1994) Line-of-sight communication on terrain models. Int J Geogr Inf Syst 8:329–342Google Scholar
  13. Desyllas J (2000) The relationship between urban street configuration and office rent patterns in Berlin. Dissertation. University College LondonGoogle Scholar
  14. Desyllas J, Duxbury, E (2001) Axial maps and visibility graph analysis. In: Proceedings, space syntax 3rd international symposium. Georgia Institute of Technology, AtlantaGoogle Scholar
  15. Dosen A, Ostwald MJ (2016) Lived space and geometric space: comparing people’s perceptions of spatial enclosure and exposure with metric room properties and isovist measures. Archit Sci Rev 60(1):62–77Google Scholar
  16. Fisher-Gewirtzman D, Burt M, Tzamir Y (2003) A 3-D visual method for comparative evaluation of dense built-up environments. Environ Plan B: Plan Des 30(4):575–587Google Scholar
  17. Gallagher GL (1972) A computer topographic model for determining intervisibility. In: Brock P (ed) The mathematics of large scale simulation. Simulation Councils, La Jolla, pp 3–16Google Scholar
  18. Gibson JJ (1966) The senses considered as perceptual systems. Houghton Mifflin Company, BostonGoogle Scholar
  19. Gibson JJ (1979) The ecological approach to visual perception. Houghton Mifflin Company, BostonGoogle Scholar
  20. Hillier B, Shu S (2000) Crime and urban layout: the need for evidence. In: Ballintyne S, Pease H, McLaren V (eds) Secure foundations: key issues in crime prevention, crime reduction and community safety. Institute for Public Policy Research, London, pp 224–248Google Scholar
  21. Lynch K (1976) Managing the sense of region. MIT Press, Cambridge, MAGoogle Scholar
  22. Markhede H, Koch D (2007) Positioning analysis: social structures in configurative modelling. In: Proceedings, 6th international space syntax symposium, Istanbul, 2007Google Scholar
  23. Meilinger T, Franz G, Bulthoff H (2009) From isovists via mental representations to behaviour: first steps toward closing the causal chain. Environ Plan B: Plan Des 39(1):1–16Google Scholar
  24. Morello E, Ratti C (2009) A digital image of the city: 3D isovists in Lynch’s urban analysis. Environ Plan B: Plan Des 36(5):837–853Google Scholar
  25. Ostwald MJ, Dawes MJ (2013a) Using isovists to analyse architecture: methodological considerations and new approaches. Int J Constr Environ 3(1):85–106Google Scholar
  26. Ostwald MJ, Dawes MJ (2013b) Prospect-refuge patterns in Frank Lloyd Wright’s prairie houses: using isovist fields to examine the evidence. J Space Syntax 4(1):136–159Google Scholar
  27. Peponis J, Bellal T (2010) Fallingwater: the interplay between space and shape. Environ Plan B: Plan Des 37(6):982–1001Google Scholar
  28. Psarra S (2005) Spatial culture, way-finding and the educational message. In: Macleod S (ed) Reshaping museum space: architecture, design, exhibitions. Routledge, London, pp 78–94Google Scholar
  29. Steen J, Markhede H (2010) Spatial and social configurations in offices. J Space Syntax 1(1):121–132Google Scholar
  30. Smardon RC, Palmer JF, Felleman JP (1986) Foundations for visual project analysis. Wiley, New YorkGoogle Scholar
  31. Stamps AE (2005) Isovists, enclosure, and permeability theory. Environ Plan B: Plan Des 32(5):735–762Google Scholar
  32. Stamps AE (2006) Interior prospect and refuge. Percept Mot Skills 103(3):643–653Google Scholar
  33. Stamps AE (2008) Some findings on prospect and refuge I. Percept Mot Skills 106(1):147–162Google Scholar
  34. Stavroulaki G, Peponis J (2003) The spatial construction of seeing at Castelvecchio. In: Proceedings, 4th international space syntax symposium, London, 2003Google Scholar
  35. Tandy CRV (1967) The isovist method of landscape survey. In: Murray HC (ed) Methods of landscape analysis. Landscape Research Group, London, pp 9–10Google Scholar
  36. Turner A (2003) Analysing the visual dynamics of spatial morphology. Environ Plan B: Plan Des 30:657–676Google Scholar
  37. Turner A, Penn A (1999) Making isovists syntactic: Isovist integration analysis. In: Proceedings, space syntax second international symposium, Brasilia, 1999Google Scholar
  38. Turner A, Doxa M, O’Sullivan D, Penn A (2001) From isovists to visibility graphs: a methodology for the analysis of architectural space. Environ Plan B: Plan Des 28(1):103–121Google Scholar
  39. Tzortzi K (2004) Building and exhibition layout: Sainsbury Wing compared with Castelvecchio. Archit Res Q 8(2):128–140Google Scholar
  40. Wiener J, Franz G (2005) Isovists as a means to predict spatial experience and behavior. In: Freksa C, Knauff M, Krieg-Brückner B, Nebel B, Barkowsky T (eds) Spatial cognition IV: reasoning, action, interaction, Lecture Notes in Computer Science, vol 3343. Springer, Heidelberg, pp 42–57Google Scholar
  41. Wong ASW, Chalup SK, Bhatia S, Jalalian A, Kulk J, Nicklin S, Ostwald MJ (2012) Visual gaze analysis of robotic pedestrians moving in urban space. Archit Sci Rev 55(3):212–223Google Scholar
  42. Yang P, Putra SY, Li W (2007) Viewsphere: a GIS-based 3D visibility analysis for urban design evaluation. Environ Plan B: Plan Des 34(6):971–992Google Scholar
  43. Yu R, Gu N, Ostwald MJ (2016) The mathematics of spatial transparency and mystery: using syntactical data to visualise and analyse the properties of the Yuyuan Garden. Vis Eng 4(4):1–9Google Scholar
  44. Zamani P, Peponis J (2013) Co-visibility and pedagogy: innovation and challenge at the high museum of art. J Archit 15(6):853–879Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of New South WalesSydneyAustralia

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