By Andrew Chi-Chih Yao (auth.), Toshihide Ibaraki, Naoki Katoh, Hirotaka Ono (eds.)
This quantity comprises the lawsuits of the 14th Annual overseas S- posium on Algorithms and Computation (ISAAC 2003), held in Kyoto, Japan, 15–17 December 2003. long ago, it used to be held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Taejon (1998), Chennai (1999), Taipei (2000), Christchurch (2001), and Vancouver (2002). ISAACisanannualinternationalsymposiumthatcoverstheverywiderange of subject matters in algorithms and computation. the most objective of the symposium is to supply a discussion board for researchers operating in algorithms and the idea of computation the place they could trade rules during this lively learn group. in accordance with our demand papers, we acquired all at once many subm- sions, 207 papers. the duty of choosing the papers during this quantity was once performed via our application committee and referees. After a radical evaluation technique, the committee chosen seventy three papers. the choice used to be performed at the foundation of originality and relevance to the ?eld of algorithms and computation. we are hoping all authorized papers will eventally look in scienti?c journals in additional polished varieties. the simplest paper award was once given for “On the Geometric Dilation of Finite aspect units” to Annette Ebbers-Baumann, Ansgar Grune ¨ and Rolf Klein. eminent invited audio system, Prof. Andrew Chi-Chih Yao of Princeton collage and Prof. Takao Nishizeki of Tohoku college, contributed to this proceedings.
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Additional info for Algorithms and Computation: 14th International Symposium, ISAAC 2003, Kyoto, Japan, December 15-17, 2003. Proceedings
2 Previous Work Early results for the min-# problem, under various error criteria, were presented by Imai and Iri [18, 19, 20], Melkman and O’Rourke  and Toussaint . Their graph based approach has been later exploited by most of the algorithms devoted to the problem [14, 8, 9, 2, 5]. However, with the exception of Agarwal and Varadarajan algorithms , all the other algorithms have quadratic or superquadratic time complexity.
Tokuyama such an x0 that is the x-coordinate value of both a vertex T L and a vertex in T R. Theorem 2. The optimal pyramidic approximation φ of a piecewise linear function f with n linear pieces can be computed in O(n) time. Proof. We can compute W L (u) and W R (v) for all the vertices in linear time. Thus, we can ﬁnd the peak of φ. Then, φ is obtained from the chains in T L and T R from the root to u and v, respectively. 5 Piecewise Unimodal Approximation of a Function Although we have considered the problem where the output is single-peaked, we often need to approximate a function with a function with a small number of maximal peaks.
Sugihara: Crystal Voronoi diagram and its applications. Future Generation Computer System, vol. 18 (2002), pp. 681–692. 6. -T. Lee: Two-dimensional Voronoi diagrams in the Lp -metric. Journal of the ACM, vol. 27 (1980), pp. 604–618. 7. A. Okabe, B. Boots, K. Sugihara and S. N. Chiu: Spatial Tessellations — Concepts and Applications of Voronoi Diagrams, Second Edition. John Wiley and Sons, Chichester, 2000. 8. J. A. Sethian: Fast marching method. SIAM Review, vol. 41 (1999), pp. 199–235. 9. J. A.