Solving the Two Color Problem: An Heuristic Algorithm

被引：0
|
作者：
Barcucci, Elena [1 ]
Brocchi, Stefano [1 ]
Frosini, Andrea [1 ]
机构：
[1] Univ Florence, Dipartimento Sistemi & Informat, I-50134 Florence, Italy
来源：
COMBINATORIAL IMAGE ANALYSIS | 2011年 / 6636卷
关键词：
Discrete tomography; reconstruction algorithm; color problem; POLYATOMIC STRUCTURES; RECONSTRUCTION; SETS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The 2-color problem in discrete tomography requires to construct a 2-colored matrix consistent with a given set of projections representing the number of elements of each color in each one of its rows and columns. In this paper, we describe an heuristic algorithm to find a solution of the 2-color problem, that has been recently proved to be NP-complete. The algorithm starts by computing a solution where elements of different colors may overlap, and then it proceeds in searching for switches that leave unaltered the projections but remove the overlaps. Experimental results show that this heuristic approach finds a solution in a short computational time to almost all the randomly generated 2-color instances, and it provides for the remaining ones a high quality approximation.
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页码：298 / 310
页数：13
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