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

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

This e-book constitutes the refereed court cases of the sixteenth overseas Symposium on Algorithms and Computation, ISAAC 2005, held in Sanya, Hainan, China in December 2005.

The 112 revised complete papers provided have been conscientiously 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, information constitution, computational biology, experimental set of rules mehodologies and on-line algorithms, randomized algorithms, parallel and dispensed 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

Given any set NS = {N 1 , N 2 , . . , 1 < i ≤ l). Observations 1 and 2 show an important self-closure structure of the LNS problem, which is crucial to our LNS algorithm and suggests a connection between our target problem and the minimum-cost closed set problem [10]. In our LNS approach, instead of directly searching for an optimal set of l net surfaces, NS ∗ = {N ∗1 , N ∗2 , . . , N ∗l }, we look for l optimal subsets of vertices in G, LO(N ∗1 ) ⊂ LO(N ∗2 ) ⊂ . . ⊂ LO(N ∗l ), such that each LO(N ∗i ) uniquely defines the net surface N ∗i ∈ NS ∗ .

Rl }. Both the on-surface and in-region costs for image segmentation can be determined using low-level image features [9, 11, 16]. The layered net surface (LNS) problem seeks l net surfaces NS = {N 1 , N 2 , . . , N l } in G such that the total cost α(NS) induced by the l net surfaces in NS, with l α(NS) = l b(N i ) + i=1 l ci (Ri ) = i=0 l b(u) + i=1 u∈V (Ni ) ci (u), i=0 u∈Ri is minimized, where V (H) denotes the vertex set of a graph H. In fact, our algorithmic framework is general enough for the cases in which each vertex has only an on-surface cost, only in-region costs, or both.

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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