Appendix B

Manhattan Geometry

The definition of the Manhattan geometry is adopted from Ref. [58]. The a pattern has a Manhattan geometry, if at least one partition of the pattern includes a set of objects satisfying the following conditions: First, all objects are rectangles, and any two rectangles that share an entire edge are merged and considered as a single rectangular object. Second, all edges of objects have either vertical or horizontal orientation. Third, all edges have length img, where img is the minimum feature size of the pattern. A typical Manhattan geometry pattern is illustrated in Fig. B.1.

Figure B.1 Manhattan geometry.

img

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