By Darja Krushevskaja, S. Muthukrishnan (auth.), Leizhen Cai, Siu-Wing Cheng, Tak-Wah Lam (eds.)
This publication constitutes the refereed court cases of the twenty fourth overseas Symposium on Algorithms and Computation, ISAAC 2013, held in Hong Kong, China in December 2013. The sixty seven revised complete papers awarded including 2 invited talks have been conscientiously reviewed and chosen from 177 submissions for inclusion within the booklet. the focal point of the amount in at the following issues: computation geometry, trend matching, computational complexity, net and social community algorithms, graph thought and algorithms, scheduling algorithms, fixed-parameter tractable algorithms, algorithms and information constructions, algorithmic video game thought, approximation algorithms and community algorithms.
Read or Download Algorithms and Computation: 24th International Symposium, ISAAC 2013, Hong Kong, China, December 16-18, 2013, Proceedings PDF
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Additional info for Algorithms and Computation: 24th International Symposium, ISAAC 2013, Hong Kong, China, December 16-18, 2013, Proceedings
The reason for this being, that the turn of the 16 O. Aichholzer et al. , the rays r(vi , vi+1 ) and r(vj , vj−1 ) do not intersect. However, such a chain C appears at most once on P and can be split into two simpliﬁable parts with a common vertex v ∗ . It remains to count the number of convex vertices of the resulting polygon P . To this end, we charge the convex vertices of P either to reﬂex vertices or to one of the r support edges. Let C = vi , . . , vj be a maximal convex chain not containing support edges of P .
607–642. Chapman & Hall/CRC (2004) 22. : Minimum-link paths revisited. 3091 23. : A new approach for the geodesic Voronoi diagram of points in a simple polygon and other restricted polygonal domains. Algorithmica 20(4), 319–352 (1998) 24. : Pseudo-triangulations—a survey. In: Surveys on Discrete and Computational Geometry—Twenty Years Later. Contemporary Mathematics, pp. 343–410 (2008) 25. : Allocating vertex π-guards in simple polygons via pseudo-triangulations. Discrete and Computational Geometry 33(2), 345–364 (2005) 26.
Our main goal is to simulate this algorithm using only the visibility angle information. Initially, we test triangle vi−1 vi vi+1 for each i = 1, 2, . . , n whether it is an ear or not. Indeed, vi−1 vi vi+1 is an ear if and only if it does not contain another vertex in its interior and the inner angle ∠vi−1 vi vi+1 ≤ π. We note that the equality can happen since we allow degeneracy. Since the second condition is easy to verify, we consider the ﬁrst condition. Fig. 3. Ear Clipping (left) and ear clipping triangulation(right) 26 J.
Algorithms and Computation: 24th International Symposium, ISAAC 2013, Hong Kong, China, December 16-18, 2013, Proceedings by Darja Krushevskaja, S. Muthukrishnan (auth.), Leizhen Cai, Siu-Wing Cheng, Tak-Wah Lam (eds.)