Organizations: Faculty of Engineering and Natural Sciences, Tampere University, Finland. · Institute of Technology, University of Tartu, Estonia. · AI and ML Department, Volvo Autonomous Solutions, Sweden.
Reliable traversability estimation is essential for autonomous navigation on unstructured terrain. State-of-the-art approaches typically evaluate traversability from deterministic terrain elevation, thereby overlooking spatial correlations in the terrain and failing to account for how elevation uncertainty propagates through nonlinear traversability mappings. We propose ProTrav, a probabilistic terrain representation that uses function-space sampling to generate spatially correlated terrain realizations and propagate elevation uncertainty to traversability cost. First, a Sparse Variational Gaussian Process (SVGP) reconstructs a probabilistic elevation field from observations. Then, posterior function-space sampling generates spatially correlated terrain realizations, preserving spatial dependencies between neighboring locations while propagating elevation uncertainty through geometric features into traversability cost. Consequently, a distribution of traversability cost at arbitrary location is established, where the mean and standard deviation quantify the expected traversability cost and associated uncertainty, respectively. A risk term is defined by moment-based Upper Confidence Bound (UCB) and incorporated into a Model Predictive Path Integral (MPPI) controller for risk-aware navigation. Simulation experiments demonstrate navigation success rates exceeding 90% on different terrains, compared with below 40% for a baseline, while reducing attitude variations. Furthermore, the proposed approach is validated on a robot traversing real-world off-road terrain.
Figures & tables
Fig. 1: Comparison of the mean-first strategy (a) and proposed uncertainty-aware method (b), represented as terrain normals. Within a negative obstacle (c), the terrains observations are missing, and hence the terrain elevation prediction is uncertain. (a) The mean prediction of terrain elevation defines a single terrain property per query position. Since the mean elevation prediction remains flat despite higher uncertainty, the terrain descriptors are overly optimistic, indicating flat and thus safe terrain. (b) Multiple samples of terrains surface define multiple terrain properties per query position. Therefore, the elevation uncertainty propagates into the geometric description, highlighting possibly unsafe uncertain region.
Fig. 2: Overview of the proposed probabilistic terrain traversability representation and navigation framework. A point cloud is used to train an SVGP to construct a continuous probabilistic elevation field. Terrain realizations are generated through function-space sampling and terrain geometric features are extracted from each realization and fused into traversability costs. These realizations are aggregated to obtain moment-based Gaussian approximation, from which a risk term is constructed by UCB and injected into the MPPI rollout cost. The resulting velocity command is sent to the robot for execution.
Start (m)
Goal (m)
Method
∣ϕ∣mean (deg)
∣ϕ∣max (deg)
∣θ∣mean (deg)
∣θ∣max (deg)
Success Rate
(20, 13)
(7, -1)
Base-RRT*
–
–
–
–
0.00
Base-MPPI
7.74 ± 4.10
21.66 ± 9.24
12.39 ± 1.45
36.66 ± 1.58
100.00%
Prob-MPPI( κδ=0 )
4.40 ± 0.11
11.87 ± 0.70
3.84 ± 0.03
10.88 ± 0.12
100.00%
Prob-MPPI( κδ=0.842 )
4.27 ± 0.08
11.16 ± 0.39
3.81 ± 0.06
10.89 ± 0.18
100.00%
Prob-MPPI( κδ=1.645 )
4.07 ± 0.09
10.60 ± 0.31
3.79 ± 0.03
10.87 ± 0.09
100.00%
(-7, -7)
(15, 18)
Base-RRT*
7.21 ± 3.03
21.87 ± 8.53
6.16 ± 2.42
23.52 ± 8.24
30.00%
TABLE I: Simulated Performance on Mountain Terrain, μ±σ of 10 Trials and Success Rate.
Fig. 3: Simulation environments with start-goal pairs and expected path in Gazebo. Left: the mountainous terrain provided by the baseline. Right: the custom-built cliff terrain.
Fig. 4: Robot attitude evolution during navigation. The robot navigates from the start position (17,−17) m to the goal (−7,−7) m in mountainous terrain. Only successful trials are shown.
Start (m)
Goal (m)
Method
No. of Falls
Success Rate
(-14, -1)
(7, -1)
Base-RRT*
5
10.00%
Base-MPPI
8
20.00%
Prob-MPPI( κδ=0 )
2
80.00%
Prob-MPPI( κδ=0.842 )
2
80.00%
Prob-MPPI( κδ=1.645 )
1
90.00%
(-14, -2)
(7, -2)
Base-RRT*
2
10.00%
TABLE II: Simulated Performance on Cliff Terrain, Measured by the Number of Falls and Success Rate over 10 Trials.
Fig. 5: A typical behavior in the Mound scenario, where the robot is tasked to navigate to a goal behind a mound of loose soil. (top) A view of the environment, with the robot position shown in approx. 20s steps. The robot trajectory in blue, and its goal in red. (remaining rows) Visualization of the system at the time steps corresponding to the robot positions in the environment view; (1) the initial state facing the mound, (2) avoiding mound, (3) driving along the mound edge, and (4) approaching the goal. The predicted cost grimap at the position (green-red), local MPPI planned path (black), and the trajectory so far. Aggregate point cloud of the environment built from scans available so far in the execution (blue-purple); used only for visualization, while the robot navigates using the current scan.
Fig. 6: The Ramp scenario, where the robot is tasked to navigate downhill. (top) A view of the environment, with the robot position shown in approx. 30s steps. The robot trajectory in blue, and its goal in red. (bottom) Visualization of the system at the time steps corresponding to the robot positions in the environment view; (1) the initial state uphill, (2) on the slope, and (3) approaching the downhill goal. The predicted cost grid map at the position (green-red), local MPPI planned path (black), and the trajectory so far. Aggregate point cloud built from scans available so far in the execution (blue-purple); used only for visualization, while the robot navigates using the current scan.
Fig. 7: The Sequence scenario. Overhead view of the test area, with the traversed path and waypoints of the Sequence scenario in blue and red, respectively, and the areas used in the Mound and Ramp scenario in purple and green, respectively.
Advances in robotics and autonomous navigation systems hinge on the ability to predict terrain traversability accurately. Traditional methods for generating datasets to train these prediction models often involve putting robots into potentially hazardous environments, posing risks to equipment and safety. To solve this problem, we present ZeST, a novel approach that treats repeated VLM outputs as stochastic measurements and fuses them into an uncertainty-aware posterior. Our approach not only performs zero-shot traversability and mitigates the risks associated with real-world data collection but also accelerates the development of advanced navigation systems, offering a cost-effective and scalable solution. To support our findings, we present navigation results, in both controlled indoor and unstructured outdoor environments. As shown in the experiments, ZeST provides safer navigation with a 90-100% success rate while no baseline exceeds 60%, and keeps complete success under query latencies up to 3.6s.
Shreya Gummadi, Mateus V. Gasparino, Gianluca Capezzuto +2
Field Robotics Engineering and Science Hub (FRESH), Illinois Autonomous Farm, University of Illinois at Urbana-Champaign (UIUC), IL. · Mobile Robotics Group, University of S˜ao Paulo, S˜ao Carlos, SP, Brazil.
Traversability analysis in off-road settings remains a fundamental challenge for mobile robots. Key difficulties include constructing an accurate and expressive local map from multimodal sensor data, and using the map to design traversability rules that yield desirable navigation behavior. Importantly, this system must be resilient to the limited sensing regime brought about by complex environments and high speeds. In this paper, we present TravSUITE, a traversability system suitable for high-speed navigation in off-road environments. TravSUITE consists of two major components: 1) an efficient voxel mapper that leverages visual foundation models (VFMs) to build a rich geometric-semantic local map from streams of on-board sensor data, and 2) a unified neural network that jointly predicts traversability-relevant quantities in bird's eye view (BEV), including geometry, semantics, speed and cost. Our training strategy is entirely annotation-free and self-supervised, leveraging tasks such as map inpainting and inverse reinforcement learning (IRL) to learn both map representations and traversability. We perform a thorough ablation study and comparison to state-of-the-art approaches, and the results indicate that cost learning and auxiliary inpainting each contribute significantly to planning quality, and their combination is critical for achieving state-of-the-art performance in off-road path planning. We also design a simple risk adaptation mechanism to leverage our method's uncertainty estimates at deploy-time, and demonstrate that a combination of inpainting and risk estimation can result in 80% fewer navigation errors and 5% faster autonomous traversal speeds in real-world hardware experiments.
Samuel Triest, Amirreza Shaban, David D. Fan +2
Robotics Institute, Carnegie Mellon University · Field AI
Estimating traversability in unstructured environments requires conditioning on robot embodiment, as the same terrain can be traversable for one platform and unsafe for another. Existing methods often transfer predictions across morphologies through late-stage trajectory filtering rather than encoding platform constraints in the learned representation. We propose Capability-Aware Traversability (CAT), a framework that embeds physical limits directly into the spatial feature space. CAT grounds dense supervision masks in physical trajectories through an interactive annotation pipeline and modulates semantic terrain maps with robot-specific traversability vectors through Spatially-Adaptive Denormalization (SPADE) blocks. Across human-annotated and trajectory-aligned datasets, CAT leads all ranking-based metrics, improving AUROC by 11.0% on physically executed trajectories and AUPRC by 15.8% on human traces over the strongest baseline. Ablations show that spatial conditioning and per-robot prototypes produce capability sensitivity beyond generic path prediction. Deployments on a legged quadruped and a wheeled skid-steer demonstrate embodiment-aware obstacle avoidance on embedded hardware at 4.8 Hz.
Gianluca Capezzuto, Felipe Tommaselli, Matheus P. Angarola +2
Mobile Robotics Group, University of São Paulo, São Carlos, SP, Brazil