Download Algorithms and Computation: 16th International Symposium, by Frances F. Yao (auth.), Xiaotie Deng, Ding-Zhu Du (eds.) PDF

By Frances F. Yao (auth.), Xiaotie Deng, Ding-Zhu Du (eds.)

This ebook constitutes the refereed lawsuits of the sixteenth foreign Symposium on Algorithms and Computation, ISAAC 2005, held in Sanya, Hainan, China in December 2005.

The 112 revised complete papers offered have been rigorously reviewed and chosen from 549 submissions. The papers are equipped in topical sections on computational geometry, computational optimization, graph drawing and graph algorithms, computational complexity, approximation algorithms, net algorithms, quantum computing and cryptography, info constitution, computational biology, experimental set of rules mehodologies and on-line algorithms, randomized algorithms, parallel and disbursed algorithms.

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Extra info for Algorithms and Computation: 16th International Symposium, ISAAC 2005, Sanya, Hainan, China, December 19-21, 2005. Proceedings

Example text

Unfortunately there are no substantially sub-O(nd ) bounds on the complexity of the median level of an arrangement in Rd for d ≥ 4 (see [1] for the state of the art). Obtaining such a bound is an interesting open problem. Separability with Outliers 35 The following is an easy consequence of the techniques of Yamamoto et al [37]. Theorem 9. Let F be the set of hyperplanes in Rd and let f ∗ ∈ F be the separator that minimizes M1 (f, Of ) for f ∈ F. For any ε > 0, a separator f ∈ F, such that M1 (f, Of ) ≤ (1 + ε)M1 (f ∗ , Of ∗ ) can be computed in time O(n/ε(d−1)/2 ).

We consider two classes of regions, called weakly watershed-monotone regions and watershed-monotone shells, defined as follows. For any integers 0 ≤ i < d and 0 ≤ c < N , let Γi (c) denote all voxels of Γ whose xi -coordinate is c (note that Γi (c) is orthogonal to the xi -axis). A region R in Γ is said to be xi -monotone if for any line l parallel to the xi -axis, the intersection R ∩ l is either empty or a continuous segment. Further, we say that R is watershed-monotone with respect to Γi (c) if (1) R is xi -monotone, and (2) for any line l orthogonal to Γi (c), if the intersection R ∩ l = ∅, then R ∩ l intersects a voxel of R ∩ Γi (c).

M. A. Gutwin. The Delaunay Triangulation Closely Approximates the Complete Euclidean Graph. Discrete Comput. Geom. 7, 1992, pp. 13-28. 17. D. Lorenz. On the Dilation of Finite Point Sets. Diploma Thesis. Bonn, 2005. 18. G. Narasimhan and M. Smid. Geometric Spanner Networks. Cambridge University Press, to appear. The Layered Net Surface Problems in Discrete Geometry and Medical Image Segmentation Xiaodong Wu1, , Danny Z. edu 3 Dept. edu 4 Dept. edu Abstract. Efficient detection of multiple inter-related surfaces representing the boundaries of objects of interest in d-D images (d ≥ 3) is important and remains challenging in many medical image analysis applications.

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