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arXiv 0907.0204cs.CV
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基于最小二乘s-t截集的多标号MRF优化

Multi-Label MRF Optimization via Least Squares s-t Cuts

Simon Fraser University(西蒙菲莎大学)

Ghassan Hamarneh

摘要:

图割在计算机视觉中有许多应用,例如分割。我们提出了一种新的方法来重新制定的NP-难,k路图划分问题的近似最小的s-t图割问题,其中一个全局最优解是在多项式时间。原始图中的每个非终端顶点被替换为一组ceil(log_2(k))个新顶点。原始图的边被新的边替换,新的边将新的顶点彼此连接,并且仅连接到两个终端节点,源s和宿t。使用一种新的最小二乘解近似的初始k路设置的约束,获得新的边缘的权重。最小s-t切割用二进制(s vs t)“Gray”编码标记每个新顶点,然后将其解码为十进制标记编号,将每个原始顶点分配给k个类中的一个。我们分析了近似的性质,并提出了定量和定性的分割结果。

英文摘要:

There are many applications of graph cuts in computer vision, e.g. segmentation. We present a novel method to reformulate the NP-hard, k-way graph partitioning problem as an approximate minimal s-t graph cut problem, for which a globally optimal solution is found in polynomial time. Each non-terminal vertex in the original graph is replaced by a set of ceil(log_2(k)) new vertices. The original graph edges are replaced by new edges connecting the new vertices to each other and to only two, source s and sink t, terminal nodes. The weights of the new edges are obtained using a novel least squares solution approximating the constraints of the initial k-way setup. The minimal s-t cut labels each new vertex with a binary (s vs t) "Gray" encoding, which is then decoded into a decimal label number that assigns each of the original vertices to one of k classes. We analyze the properties of the approximation and present quantitative as well as qualitative segmentation results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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