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摘要: 本文建立了两个点集线性匹配过程的贝叶斯模型框架,并利用变分贝叶斯逼近方法对模型点集到场景点集的仿射参数进行估计。该模型利用一个有向图对映射参数、隐藏变量、模型与场景点集的关系进行了描述,并基于有向图给出了各个参数和变量后验概率的迭代估计算法。而且该模型还利用了一个带有各向异性协方差矩阵的高斯模型对场景点集的离群点进行了估计和推理。实验结果表明该模型在鲁棒性和匹配精度方面均获得了良好的效果。Abstract: In this work, the affine point set matching is formulated under a variational Bayesian framework and the model points are projected forward into the scene space by a linear transformation. A directed acyclic graph is presented to represent the relationship between the parameters, latent variables, model and scene point sets and an iterative approximate algorithm is proposed for the estimation of the posterior distributions over parameters. Furthermore, the anisotropic covariance is assumed on the transition variable and one Gaussian component is provided for the inference of outlier points. Experimental results demonstrate that the proposed algorithm achieves good performance in terms of both robustness and accuracy.
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Key words:
- Point set matching /
- variational Bayesian /
- affine transformation /
- graphical model
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