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

ISBN-10: 3540309357

ISBN-13: 9783540309352

ISBN-10: 3540324267

ISBN-13: 9783540324263

This e-book constitutes the refereed lawsuits of the sixteenth overseas 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, web 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 resources for Algorithms and Computation: 16th International Symposium, ISAAC 2005, Sanya, Hainan, China, December 19-21, 2005. Proceedings

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1 The Self-closure Property of the LNS Problem Our algorithm for the LNS problem hinges on the following observations about the self-closure structure of any feasible LNS solution. Recall that in a set of l feasible net surfaces NS = {N 1 , N 2 , . . , N l } in G, N i+1 is “on top” of N i , for each i = 1, 2, . . , l − 1. , the vertex in Col(u) with the smallest d-th coordinate that can possibly appear together with vk on a same feasible net surface in G). 22 X. Wu et al. Given the surface separation constraints, we define below the upstream and downstream vertices of any vertex in G, to help characterize the spatial relations between feasible net surfaces in G.

We apply our polynomial time LNS algorithms to segmenting multiple interrelated object boundaries in 3-D medical images. We omit the proofs of the lemmas and theorems due to the page limit. 2 The Layered Net Surface (LNS) Problems A multi-column graph G = (V, E) embedded in the d-D discrete space is defined as follows. For a given undirected graph B = (VB , EB ) embedded in (d − 1)D (called the net model) and an integer κ > 0, G is an undirected graph in d-D generated by B and κ. For each vertex v = (x0 , x1 , .

Observation 1 characterizes the self-closure property of every set LO(N i ). However, our task is more involved since the l net surfaces in NS are inter-related. We need to further examine the closure structure between the LO(N i )’s. Observation 2. 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].

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Algorithms and Computation: 16th International Symposium, ISAAC 2005, Sanya, Hainan, China, December 19-21, 2005. Proceedings by Frances F. Yao (auth.), Xiaotie Deng, Ding-Zhu Du (eds.)

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