James Olaleye 
  
  
  
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Figure 4: Axes notations for image C-space and Object R-space 
  
  
ALGORITHM FOR REDUCTION TO THE OBJECT SPACE 
The problem is to rigorously combine a pair of conjugate image space vectors to product the corresponding object 
space position vector. The operations involved in the forward reduction of a stereogram may be summarized as 
follows: vector transformation from an image C-space to an image R-space and by axes relabelling to an object C- 
space to an object R-space. This is achieved by application of the ARDOVS operational rules 1&2 to the tight image 
space vector (Pa') in Figure 5. This produces the left image space (R-space) vector polygon in figure 5), which is 
rigorously adjusted to minimize the parallax vector and to produce an equivalent image R-space element T. The axes 
of the image R-space are relabelled as an object C-space and a further application of rules 1 & 2 projects the vector 
element T onto the object C-space and a further application of rules 1 & 2 projects the vector element T onto the object 
space axes to produce the required object space information (see Figure 6). The full theoretical development of this 
algorithm is treated in Olaleye (1992). 
  
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International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B3. Amsterdam 2000. 
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