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In this paper, we propose a novel approach for underwater simultaneous localization and mapping using a multibeam imaging sonar for 3D terrain mapping tasks. The high levels of noise and the absence of elevation angle information in sonar images present major challenges for data association and accurate 3D mapping. Instead of repeatedly projecting extracted features into Euclidean space, we apply optical flow within bearing-range images for tracking extracted features. To deal with degenerate cases, such as when tracking is interrupted by noise, we model the subsea terrain as a Gaussian Process random field on a Chow–Liu tree. Terrain factors are incorporated into the factor graph, aimed at smoothing the terrain elevation estimate. We demonstrate the performance of our proposed algorithm in a simulated environment, which shows that terrain factors effectively reduce estimation error. We also show ROV experiments performed in a variable-elevation tank environment, where we are able to construct a descriptive and smooth height estimate of the tank bottom. 

We propose a new approach for traversability mapping with sparse lidar scans collected by ground vehicles, which leverages probabilistic inference to build descriptive terrain maps. Enabled by recent developments in sparse kernels, Bayesian generalized kernel inference is applied sequentially to the related problems of terrain elevation and traversability inference. The first inference step allows sparse data to support descriptive terrain modeling, and the second inference step relieves the burden typically associated with traversability computation. We explore the capabilities of the approach over a variety of data and terrain, demonstrating its suitability for online use in real-world applications.