๐ค AI Summary
Traditional visual navigation struggles to balance global geometric consistency with topological generalization, limiting its performance in complex environments. This work proposes a novel map representation based on pixel-level relative 3D connectivity, which constructs a pixel correspondence graph in a relative coordinate frame from image sequences and generates a โWayPixel Costmapโ for planning and control. By preserving high-fidelity geometric information without requiring global geometric consistency, the approach overcomes the limitations of conventional topological graphs and dense reconstructions. Experimental results demonstrate that the method significantly outperforms image-level and object-level representations across four simulated tasks and real-world scenarios, validating its accuracy and practicality for visual navigation.
๐ Abstract
Visual navigation ability is strongly tied to its underlying representation of the world. Unlike classical 3D maps that require globally-consistent geometry, image- or object-relative topological graphs almost entirely do away with geometric understanding. But, this comes at the cost of navigation capability, often limiting it to merely teach-and-repeat. In this work, we propose a novel map representation in the form of pixel-relative connectivity, which is geometrically accurate but does not require global geometric consistency. Inspired by recent progress in 3D grounded image matching, we construct a map from an image sequence through inter-image connectivity based on pixel correspondences in the relative 3D coordinate systems of individual image pairs. We then use this pixel-level graph to perform global path planning by approximating and sparsifying intra-image pixel connectivity. Through this, we derive a ''WayPixel Costmap'' representation and train a controller conditioned on it to predict a trajectory rollout. We show that this dense pixel-level costmap based on relative geometry is a more accurate conditioning variable for control prediction than its image- and object-level counterparts. This enables a highly capable navigation system, as validated on four types of navigation tasks in the simulator and through real world demonstrations.