Question: 2 . In edge - based stereo methods, edges in the left image are matched with edges in the right image to obtain disparity measurements.

2 .

In edge

-

based stereo methods, edges in the left image are matched with edges in the right image to obtain disparity measurements. In this problem, we limit ourselves to matching along a single epipolar line, thus reducing the problem to one of matching in one dimension.

.

Suppose there are n edges in each image along an epipolar line. If each edge has a unique match in the other image, how many different mappings are there? Do not include the constraints that edges must be ordered the same way in both images.

.

Now add the constraint that edges must be ordered the same way in both images. If every edge has a unique match, how many different mappings are there?

.

Now let the right image have

\ (

\)

edges

\ ((

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