NEURO-ANATOMY OF PRIMATE VISUAL CORTEX
  
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	THE VISUAL CORTEX
	
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	A cortex [Latin: skin or bark] is basically
	a 2-dimensional sheet that is highly convoluted.
	Many parts of the brain have a cortical structure.
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	The striate cortex (also called the visual cortex or V1)
	is the main part for visual processing.
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	Its dimensions are about 100 to 1000 mm-square,
	and about 1 mm thick.
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	The visual cortex has many layers called the fine structure
	or functional architecture [Hubel-Wiesel'74].
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	At least 10 layers are identified.
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	Fibers from the LGN (lateral geniculate nucleus) enter layer IV.
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	[An equivalent number of fibers project back to the LGN.  Their
	functions are unknown, but there are speculations that this
	is used for imagination and reuse of stored visual data.]
  
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	EXISTENCE OF A 1-1 MAP BETWEEN THE RETINA
	AND LAYER VI OF THE STRIATE CORTEX
	
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	There is a point in the cortex that is maximally responsive
	to stimulus at a point in the visual field
	[Hubel-Wiesel'74].
  
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	LOCAL PROPERTIES OF THIS MAP:
	
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	The magnification factor is the distance (in mm) along
	the cortical surface that corresponds to change in
	stimulus position of 1 degree in the visual field.
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	This factor is independent of local direction, and vary
	roughly inversely with eccentricity (=distance from fovea).
	[Daniel-Whitteridge'61].
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	Circles of constant eccentricity in retina are mapped to
	parallel straight lines in the cortex.
	[Daniel-Whitteridge'61, Talbot-Marshall'41].
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	Up to a third of the visual cortex is devoted to
	processing the data from the fovea.
  
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	LOGMAP MODEL
	
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	Schwartz [1977] proposed the complex logarithm 
		
		(x,y) --> (r, \theta)
 where
 \log (z+\alpha) = r . e^{i\theta}
		and z= x+iy
		
	as the functional form of this map.
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	This map has properties that agree with the above experimental data.
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	The real constant \alpha is species-dependent.
		(e.g., \alpha=0.3 for some monkeys)
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	It is understood that this map applies to the right
	half of the retina, and the left half is obtained by symmetry.
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	DRAW A PICTURE OF THIS MAP FOR THE HEMIDISK.
  
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	HYPERCOLUMN STRUCTURE 
	
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	The left and right eye signals terminate in the input layer
	of the striate cortex, in a zebra-striped pattern.
	[SHOW PICTURE]
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	The individual stripes are called ocular dominance columns
	which are about 0.5mm wide.
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	These columns from the left and right eye are interlaced,
	and account for stereo vision.
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	Another kind of structure, called orientation columns
	that are about 50 microns by 500 microns) are slabs of tissue
	cells that respond to edges of constant orientation in
	the visual field.
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	Cells in a small patch of the cortex (about 1 mm square) contains
	complete left-right eye representation (from the
	ocular dominance columns) and orientation column representation
	for a full 180 degrees.  Hubel and Wiesel call such a patch containing
	a complete visual processing unit a hypercolumn.
  
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	HOW TO OBTAIN BRAIN DATA:
	
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	Basically two ways: micro-electrodes or staining.
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	2-Deoxyglucose (2DG) method: Expose image to visual field of
	primate for 30 minutes (the primate must be immobilized).
	This produces images of associated neural
	activity on the brain surface.  After killing the primate (gulp!),
	its brain (layer VI) is stained, and slices made.  Then comes the
	reconstruction from these slices (including flattening the
	folds of the cortical surfaces).  Computer techniques are
	needed to help the reconstruction.
  
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REFERENCES:
1. [Schwartz-Merker'86]
2. [Rojer'90] -- PhD Thesis, NYU
3. [Franzblau'91] -- Masters thesis, NYU
4. [DeValois-DeValois'88] -- Book called "Spatial Vision"