distance from the fixation gaze can affect attentional response in human attentional control system.is there any mathematical function to clarify it?
Could you clarify what you mean by "attentional response"? The orienting response (e.g. gaze shifts), the covert shift of attention (spotlight methaphor), etc?
For overt shifts of attention (ie saccades), and distractor effects there is a spatial structure. These have been described geometrically (ie mapped). See Walker et al (1997) J Neurophysiol 78:1108-1119 and cites. Not sure about covert shifts of attention.
As far as I know: No. The spotlight metaphor generally seems to work reasonably well, but perhaps not (or not yet) to the point where its relation to visual field location can be specified as a mathematical function. Questions of whether the spotlight can be said to have a certain default size, or to be topographically closed or not, are open.
Reviews:
M. Carrasco / Vision Research 51 (2011) 1484–1525
Strasburger et al. (2011):
http://www.journalofvision.org/content/11/5/13
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