Dense Incremental Metric-Semantic Mapping via Sparse Gaussian Process Regression

We develop an online probabilistic metric-semantic mapping approach for autonomous robots relying on streaming RGB-D observations in both centralized settings and decentralized multi-robot networks. Notably, the generated maps contain full continuous distributional information about the geometric surfaces and semantic labels (e.g., chair, table, wall), making them appropriate for uncertainty-aware motion planning. Our approach is based on online Gaussian Process (GP) training and inference, which avoids the complexity of GP classification by regressing a truncated signed distance function (TSDF) representation of the regions occupied by different semantic classes. Online regression is enabled through a sparse inducing-point approximation of the GP posterior. To scale to large environments, we further consider spatial domain partitioning via an octree data structure with overlapping leaves. An extension to the multi-robot setting is developed by having each robot execute its own online measurement update and then combine its posterior parameters via a local weighted geometric average with those of its neighbors. This yields a decentralized information processing architecture in which the GP map estimates of all robots converge to a common map of the environment while relying only on local one-hop communication. Our experiments demonstrate the effectiveness of the probabilistic metric-semantic mapping technique in 2-D and 3-D environments in both single and multi-robot settings.

 

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