2018
DOI: 10.1109/tpami.2017.2717829
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Joint Alignment of Multiple Point Sets with Batch and Incremental Expectation-Maximization

Abstract: This paper addresses the problem of registering multiple point sets. Solutions to this problem are often approximated by repeatedly solving for pairwise registration, which results in an uneven treatment of the sets forming a pair: a model set and a data set. The main drawback of this strategy is that the model set may contain noise and outliers, which negatively affects the estimation of the registration parameters. In contrast, the proposed formulation treats all the point sets on an equal footing. Indeed, a… Show more

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Cited by 121 publications
(133 citation statements)
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“…The identify step is based on a joint mixture-of-Gaussians with affine-alignment model, similar to the approach proposed by Evangelidis and Horaud (Evangelidis and Horaud, 2018). The model estimates a statistical atlas that summarizes the mean location and color, for each cell, along with the variability of these features ( Fig.3C & Fig.8A).…”
Section: Automating the Identification Of Neuronal Cell Classesmentioning
confidence: 99%
“…The identify step is based on a joint mixture-of-Gaussians with affine-alignment model, similar to the approach proposed by Evangelidis and Horaud (Evangelidis and Horaud, 2018). The model estimates a statistical atlas that summarizes the mean location and color, for each cell, along with the variability of these features ( Fig.3C & Fig.8A).…”
Section: Automating the Identification Of Neuronal Cell Classesmentioning
confidence: 99%
“…One also notices that the proposed algorithm could be used to find an initial segmentation before being applied incrementally as new data become available, e.g. (Evangelidis and Horaud, 2017).…”
Section: Discussionmentioning
confidence: 99%
“…The practical meaning of x i can be regarded as the representation for the quality of smart meter i. N is the total number of smart meters to be clustered; µ k is the expected vector of the kth Gaussian model and Σ k is the variance of the kth Gaussian model, respectively. In the GMM clustering process, the parameters of each Gaussian distribution model need to be estimated and the estimation is performed by the expectation maximum (EM) algorithm [23]. Therefore, the steps of the GMM clustering algorithm for operation quality of smart meters' data are as follows.…”
Section: Index Mining Of Operation Quality Assessment Of Smart Metersmentioning
confidence: 99%