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Rotationally Invariant Descriptors using Intensity Order ... - IEEE Xplore

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This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication.<br />

<strong>IEEE</strong> TRANSACTION ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 16<br />

(a) (b) (c) (d) (e)<br />

Fig. 6. The selection of 4 support regions and their normalization. Each color corresponds to a boundary of one support region<br />

and all the support regions are normalized to a circular region with unified radius. (a) shows the selected support regions and<br />

(b)-(e) are the normalized regions.<br />

Fig. 7. The procedure of pooling local features based on their intensity orders for a support region. See text for details.<br />

paper, we set ri =1+0.5 × (i − 1) such that the support regions have an equal increment<br />

of radius as plotted in Fig. 6(a). In each support region, the rotation invariant local features of<br />

all the sample points are then pooled by their intensity orders. As shown in Fig. 7, first they<br />

are pooled together to form a vector in each partition which is obtained based on the intensity<br />

orders of sample points and then the accumulated vectors of different partitions are concatenated<br />

together to represent this support region. We denote it as D(R) =(F (R1),F(R2), ··· ,F(Rk))<br />

and F (Ri) is the accumulated vector of partition Ri, i.e.,<br />

F (Ri) = <br />

FG(X) (14)<br />

X∈Ri<br />

November 26, 2011 DRAFT

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