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4.3.10 Angular Depth and Mean Angular Depth

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The angular depth to location at any point ‘V’ in plan is the lowest angular variation in heading accumulated along any path from said point to a single universal sample location.

The mean angular depth at any point ‘V’ in plan is the average of all lowest angular depths from said point to all locations in the plan (Dalton, 2003). In isovist field form it illuminates angular centrality within a plan configuration.

The Isovist_App determines mean angular depth by averaging all lowest angular depths calculated from point ‘V’ to all  successive stochastic global sample locations. In notation form the calculation for mean angular depth is expressed as:

Where ‘Ui’  is the lowest angular depth from location V to a global sample location; and ‘n’ the total number of global sample locations.