There are many, many definitions of axial like relationships - not axial
maps per se - in the literature on medial axis transforms which are part
of pattern recognition and have been widely used in biology - we used
these at one point in some of our axial map analysis and Sanjay Rana has
exploited some of this area
see
http://homepages.inf.ed.ac.uk/rbf/HIPR2/skeleton.htm
http://citeseer.ist.psu.edu/context/77057/0
Mike
At 23:35 11/06/2006, Alan Penn wrote:
Rui wrote:,
> As you are well aware, there is no rigorous definition of axial
lines, so
> one can only claim to develop algorithms inspired by those. But
anyone who
> claims to be able to generate axial lines may as well be selling you
snake
> oil -to this day, they remain algorithmically undefined.
Rui,
The axial map must by now be one of the better defined and more
thoroughly
discussed representational primitives in spatial analysis. In
looking
through the literature I came across one paper: Carvalho, Rui et al
(2003)
"A rigorous definition of axial lines: ridges on isovist
fields"... surely
this is not snake-oil?
Here I attach Alasdair Turner et al's paper entitled "An
algorithmic
definition of the axial map". I'd be interested to see any equally
or more
rigorous definitions of other representational primitives from outside
the
space syntax field.
Alan
Michael Batty Director Centre for Advanced Spatial Analysis (CASA)
University College London - 1-19 Torrington Place - London - WC1E 6BT
UK
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