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**Read Online or Download Combinatorial Image Analysis: 16th International Workshop, IWCIA 2014, Brno, Czech Republic, May 28-30, 2014. Proceedings PDF**

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**Extra resources for Combinatorial Image Analysis: 16th International Workshop, IWCIA 2014, Brno, Czech Republic, May 28-30, 2014. Proceedings**

**Sample text**

Let L = {l1 , . . , lk } ∈ L k be such a k-tuple. Let P(L) be the family of all convex polygons P such that every side of P is parallel to some line from L. Denote by kDIR(L) − CON V the class of intersection graphs of polygons from P(L). Then deﬁne the class kDIR − CON V = L∈(L) kDIR(L) − CON V . k Thus, informally speaking, kDIR − CON V is the class of intersection graphs of convex polygons whose all sides are parallel to at most k directions. Given a set P ⊂ R2 , Phom denotes the class of intersection graphs of sets homothetic to P .

Then P1 and P2 can be separated by a straight line containing a side of one of them. Let Q and R be in V(b1 , . . , bk ). Assume, for contradiction, that Q ∩ R = ∅. By Fact 1, Q and R are separated by a line containing one of their sides, say the side of R that is qi of R. ) Note that since the direction of ci is arbitrary, provided it is perpendicular to line li , we can choose its direction to be such that this side of R is qi and not qi . Since qi of R is therefore strictly farther than all points of Q in the direction of ci , it is not hard to see that bi is strictly farther than all points of Q in the direction of ci .

This approach also treats the details of the corona that are observed oﬀ the limb as well as on the disk. 22 S.. Habbal, M. Druckm¨ uller, and H. Morgan The example of Figure 2 shows the result from the application of the NRGF and the MGN. The example of Figure 4 is a combination of the MGN method applied to the AIA/SDO 171 ˚ A image superimposed on the ACFH-processed total solar eclipse white light image, both taken at the same time on 2010 July 11. Figure 4 is remarkable for two reasons. (1) It shows a perfect match between observations taken with two totally diﬀerent instruments at the same time.