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is the score for cell-pair

{ , }

. Defined by the equation

=

=1

9

.

(small s) denote the standard deviation of the binomial distribution of the

false matches. The threshold approximated as

, which can in turn be

approximated as

. This last approximation gives us a per-cell threshold,

defined as

= ⋅

, where

= 6

was empirically selected and is the total

number of features in the 9-cell neighborhood, as illustrated above.

Now we are equipped with all notation let’s dive into the algorithm. The

pseudocode is followed by explanations of the steps.

The input of the algorithm is a pair of images and the output is the matching

features denoted as

Inliers

.

The algorithm starts by detecting ORB features in both images and divided them

into G-cell grids (lines 1-3). Next, the algorithm loops over the cells in one image

and finds the cells with the highest number of matching features from the other

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