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Gaussian filter for nonlinear filtering problems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002We develop and analyze real-time and accurate filters for nonlinear filtering problems based on the Gaussian distributions. We present the systematic formulation of Gaussian filters and develop efficient and accurate numerical integration of the proposed filter.
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Gaussian Lifted Marginal Filtering
Proceedings of the 5th International Workshop on Sensor-based Activity Recognition and Interaction, 2018Recently, Lifted Marginal Filtering [5] has been proposed, an approach for efficient probabilistic inference in systems with multiple, (inter-)acting agents and objects (entities). The algorithm achieves its efficiency by performing inference jointly over groups of similar entities (i.e. their properties follow the same distribution). In this paper, we
Stefan Lüdtke +2 more
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Comments on "Gaussian particle filtering"
IEEE Transactions on Signal Processing, 2005With the Gaussian assumption, the above paper proposed an optimal Gaussian filer under the particle filtering framework. This comment presents a different perspective from the standpoint of the conventional Gaussian filters. In this respect, the Gaussian particle filter actually extends the conventional Gaussian filter using Monte Carlo integration and
Yuanxin Wu +3 more
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Fast Almost-Gaussian Filtering
2010 International Conference on Digital Image Computing: Techniques and Applications, 2010Image averaging can be performed very efficiently using either separable moving average filters or by using summed area tables, also known as integral images. Both these methods allow averaging to be performed at a small fixed cost per pixel, independent of the averaging filter size.
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Efficient approximation of Gaussian filters
IEEE Transactions on Signal Processing, 1997This article presents improvements to the efficient approximation of Gaussian filters by sequentially applying uniform box filters. For 1-D filters, a simple and nearly optimal fit criterion for the length S of the box filters to the approximated Gaussian is given.
Richard Rau, James H. McClellan
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Gaussian sum resampling filter
2015 54th IEEE Conference on Decision and Control (CDC), 2015In this paper we propose the Gaussian sum resampling filter (GSRF) in which the predicted state distribution is approximated by the sum of the sub-Gaussian components whose variances are designed to be smaller than the Gaussian components used for the standard Gaussian sum filter (GSF).
Masaya Murata +2 more
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Gradient adaptive Gaussian image filter
2015 23nd Signal Processing and Communications Applications Conference (SIU), 2015In this study, a filter which uses the Gaussian function and selects its variance according to local properties of image without user intervention has been designed in order to eliminate the noise. Consequently, a gradient adaptive image filter that estimates variance and creates different kernel for each pixel in image has been obtained.
Kayhan Celik +2 more
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Gaussian Lifted Marginal Filtering
2019Recently, Lifted Marginal Filtering has been proposed, an efficient Bayesian filtering algorithm for stochastic systems consisting of multiple, (inter-)acting agents and objects (entities). The algorithm achieves its efficiency by performing inference jointly over groups of similar entities (i.e. their properties follow the same distribution).
Stefan Lüdtke +3 more
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Box Gaussian Mixture Filter $ $
IEEE Transactions on Automatic Control, 2010This note presents the box Gaussian mixture filter (BGMF), which is an efficient filter for the systems with mainly linear measurements but enables utilizing highly nonlinear measurements. BGMF contains a new way to approximate the prior distributions with a Gaussian mixture, whose components have small covariances.
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Efficient Synthesis of Gaussian Filters by Cascaded Uniform Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986Gaussian filtering is an important tool in image processing and computer vision. In this paper we discuss the background of Gaussian filtering and look at some methods for implementing it. Consideration of the central limit theorem suggests using a cascade of ``simple'' filters as a means of computing Gaussian filters. Among ``simple'' filters, uniform-
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