id |
caadria2011_047 |
authors |
Ostwald, Michael J.; Josephine Vaughan and Stephan K. Chalup |
year |
2011 |
title |
Data flow and processing in the computational fractal analysis method |
source |
Proceedings of the 16th International Conference on Computer Aided Architectural Design Research in Asia / The University of Newcastle, Australia 27-29 April 2011, pp. 493-502 |
doi |
https://doi.org/10.52842/conf.caadria.2011.493
|
summary |
One of the few quantitative methods available for the consistent analysis of architectural form is the ‘box-counting’ approach to determining the approximate fractal dimension of a plan or elevation. In its computational form this method has been used to analyze the plans and facades of a wide range of buildings. The data points produced are synthesized by the software into a series of fractal dimension (D) values that are in turn compiled in various ways to produce a series of composite results describing a complete building. Once this process is complete the data may be coded with additional information producing a set of mathematical results that describe the form of a building. This paper offers the first complete description of this important analytical process from the point of view of information flow, algorithmic operations, review options and data magnitude. No previous paper has detailed the full scope of the data used in the computational method, or the way in which various stages produce different types of outcomes. The purpose of this paper is to elucidate the way in which this particular computational method, drawing its inspiration from the complexity in natural systems, may be used to process different types of information and produce various forms of quantitative data to support architectural design and analysis. |
keywords |
Fractal analysis; computational analysis |
series |
CAADRIA |
email |
|
full text |
file.pdf (905,950 bytes) |
references |
Content-type: text/plain
|
Bechhoefer, W. and Appleby, M. (1997)
Fractals, music and vernacular architecture: an experiment in contextual design
, N. AlSayyad (ed.), Critical methodologies in the study of traditional environments, Vol. 97, University of California at Berkeley, Berkeley, unpaged
|
|
|
|
Bovill, C. (1996)
Fractal geometry in architecture and design
, Birkhäuser, Boston
|
|
|
|
Bovill, C. (1997)
Fractal calculations in vernacular design
, N. AlSayyad (ed), Critical methodologies in the study of traditional environments, 97, University of California at Berkeley, Berkeley, unpaged
|
|
|
|
Burkle-Elizondo, G.; Sala, N. and Valdez-Cepeda R. D. (2004)
Geometric and complex analyses of Maya architecture: some examples
, K. Williams and F. Delgado-Cepeda (eds.), Nexus V: architecture and mathematics, K. W. Books, Florence, 57–68
|
|
|
|
Foroutan-Pour, K.; Dutilleul, P. and Smith, D. L. (1999)
Advances in the implementation of the box-counting method of fractal dimension estimation
, Applied mathematics and computation, 105(2), 195–210
|
|
|
|
Krampen, M. (1979)
Meaning in the urban environment
, Pion, London
|
|
|
|
Lorenz, W. (2003)
Fractals and fractal architecture
, Vienna University of Technology, Vienna
|
|
|
|
Makhzoumi, J. and Pungetti, G. (1999)
Ecological landscape design and planning: the Mediterranean context
, E & FN Spon, London
|
|
|
|
Mandelbrot, B. (1982)
The fractal geometry of nature
, WH Freeman and Company, San Francisco.
|
|
|
|
Ostwald, M. J., and Vaughan, J. (2009)
Visual qualities in early Modern and late Modern architecture: a mathematical comparison of formal complexity in the houses of Gray and Sejima
, ANZASCA 2009, Newcastle, 9–32.
|
|
|
|
Ostwald, M. J., and Vaughan, J. (2009)
Calculating visual complexity in Peter Eisenman’s architecture: A computational fractal analysis of five houses (1968-1976)
, CAADRIA 2009, Taiwan, 75–84
|
|
|
|
Ostwald, M. J.; Vaughan, J. and Tucker, C. (2008)
Characteristic visual complexity: fractal dimensions in the architecture of Frank Lloyd Wright and Le Corbusier
, K. Williams (ed.), Nexus: architecture and mathematics, K. W. Books and Birkhauser, Turin, 217-232.
|
|
|
|
Stamps III, A. (1999)
Architectural detail, Van der Laan septaves and pixel counts
, Design Studies, 20, 83–97
|
|
|
|
Vaughan, J. and Ostwald, M. J. (2009)
A computational comparison between the pre-modern (1905-1912) and early modern (1922-1928) architecture of Le Corbusier
, Design Principles and Practices, 3(4), 359–371
|
|
|
|
last changed |
2022/06/07 08:00 |
|