By Andrew Chi-Chih Yao (auth.), Toshihide Ibaraki, Naoki Katoh, Hirotaka Ono (eds.)

ISBN-10: 3540206957

ISBN-13: 9783540206958

This quantity includes the court cases 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 themes in algorithms and computation. the most goal of the symposium is to supply a discussion board for researchers operating in algorithms and the idea of computation the place they could trade principles during this lively study group. based on our demand papers, we got unexpectedly many subm- sions, 207 papers. the duty of choosing the papers during this quantity used to be performed via our application committee and referees. After a radical evaluation strategy, the committee chosen seventy three papers. the choice was once performed at the foundation of originality and relevance to the ?eld of algorithms and computation. we are hoping all authorized papers will eventally seem in scienti?c journals in additional polished kinds. the easiest paper award used to be given for “On the Geometric Dilation of Finite element units” to Annette Ebbers-Baumann, Ansgar Grune ¨ and Rolf Klein. eminent invited audio system, Prof. Andrew Chi-Chih Yao of Princeton college and Prof. Takao Nishizeki of Tohoku collage, contributed to this proceedings.

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ISAAC 2003, LNCS 2906, pp. 36–46, 2003. c Springer-Verlag Berlin Heidelberg 2003 Polygonal Path Approximation: A Query Based Approach 37 or parallel-strip criterion, with the Euclidean, L2 measure of distance. With this criterion, the -tolerance region of a line segment pi pj is the set of points that are within distance from the line L(pi pj ) supporting pi pj . If a subpath Pij ,ij+1 = (pij , pij +1 , . . , pij+1 ) of P is contained in the -tolerance region of line segment pij pij+1 of P , then pij pij+1 is an -approximating segment for Pij ,ij+1 .

Sugihara R(P ; pi ) ≡ j=i {p ∈ Ω | d(pi , p) < d(pj , p)}. (4) R(P ; pi ) represents the set of points which the boat at harbor pi can reach faster than any other boats. The domain Ω is partitioned into R(P ; p1 ), R(P ; p2 ), · · ·, R(P ; pn ) and their boundaries. This partition is called the Voronoi diagram for the boat-sail distance or the boat-sail Voronoi diagram for short. fΔt (x+Δx,y+Δy) fΔt Δu FΔt∇T/|∇T| FvFΔt T=C+Δt (x,y) p T=C Fig. 1. Relation among the actual movement Δu, the water ﬂow f and the boat velocity F vF 3 Fig.

Insertion of q, depending upon one of the above three cases, results in a new hierarchy H . The algorithm only visits elements up to the cost group max{g(x), g(q)}. 4 Delete In this section we outline the procedure for deleting an element q from the hierarchy H storing the elements of the set S. First locate the neighbors x and y of q using the search procedure Search(S, q). This requires modifying the Search procedure as follows. After ﬁnding an element yi that equals q among the children of the node X, the search continues for the left neighbor x = max{Zi−1 } and the right neighbor y = min{Zi } of q.