Look Forward to Walk Backward: Efficient Terrain Memory for Backward Locomotion with Forward Vision
Authors: Shixin Luo, Songbo Li, Yuan Hao, Yaqi Wang, Jun Zheng, Jun Wu, Qiuguo Zhu
Organizations: The authors are with Institute of Cyber-Systems and Control, Zhejiang University, 310027, China. · The author is with College of Artificial Intelligence, Nankai University, 300350, China. · The author is with Hangzhou Public Library, 310016, China.
Legged robots with egocentric forward-facing depth cameras can couple exteroception and proprioception to achieve robust forward agility on complex terrain. When these robots walk backward, the forward-only field of view provides no preview. Purely proprioceptive controllers can remain stable on moderate ground when moving backward but cannot fully exploit the robot's capabilities on complex terrain and must collide with obstacles. We present Look Forward to Walk Backward (LF2WB), an efficient terrain-memory locomotion framework that uses forward egocentric depth and proprioception to write a compact associative memory during forward motion and to retrieve it for collision-free backward locomotion without rearward vision. The memory backbone employs a delta-rule selective update that softly removes then writes the memory state along the active subspace. Training uses hardware-efficient parallel computation, and deployment runs recurrent, constant-time per-step inference with a constant-size state, making the approach suitable for onboard processors on low-cost robots. Experiments in both simulations and real-world scenarios demonstrate the effectiveness of our method, improving backward agility across complex terrains under limited sensing.
Figures & tables
Fig. 1 : We deploy our policy in real-world environments, demonstrating agile forward and backward motion over discrete terrains that combine steps and gaps. The robot memorizes the surrounding terrain during forward motion and retrieves useful information from the memory state when moving backward, enabling highly dynamic backward locomotion using only a forward-facing depth camera.
Fig. 2 : Overview of the proposed LF2WB framework. We concurrently train a delta-rule estimator and an asymmetric actor-critic. The estimator learns a compact terrain memory with strong retrieval ability for backward motion, enabling the policy to execute dynamic backward maneuvers using only forward egocentric vision.
Fig. 3 : RMSE of the body-centric elevation estimate along the executed path. The robot starts on the left of the image and walks backward to the right; 0s corresponds to the leftmost position where the backward phase begins. Curve locations at terrain discontinuities are marked by arrows. Once the robot falls, we stop recording error.
P1 (F10 s → B10 s)
P2 (F20 s → B10 s)
P3 (F20 s → B20 s)
P4 (F30 s → B10 s)
P5 (F30 s → B30 s)
Estimator Backbone
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
0.2
0.4
0.6
0.8
Ours
90.1
86.9
81.7
75.0
89.5
83.5
77.7
71.7
49.0
42.2
37.9
30.4
87.0
83.6
78.9
72.1
16.1
10.9
10.8
10.5
Ours with explicit forgetting gate
70.1
66.4
57.5
46.7
72.7
67.4
59.0
46.6
25.3
19.1
10.5
8.8
66.1
60.8
56.5
46.5
9.8
5.1
3.3
3.4
Ours w/o Delta Rule
85.1
86.8
81.5
68.9
62.0
54.9
42.0
30.7
36.7
32.8
23.9
12.4
39.6
35.1
22.8
20.0
7.0
6.2
3.0
2.7
LSTM
57.1
45.0
32.8
25.7
60.3
48.0
31.3
25.7
20.6
7.6
4.3
3.8
64.3
52.2
35.8
29.7
5.8
2.3
1.0
1.1
Transformer-XL
28.9
26.6
22.7
16.7
30.4
24.7
20.1
16.2
7.8
7.7
3.9
1.9
28.2
24.7
19.7
15.5
2.1
1.2
1.1
1.0
TABLE I : Success rate (%) across difficulty δ∈{0.2,0.4,0.6,0.8} and protocol P1–P5 .
Fig. 4 : Real-world deployment on a robot equipped with a forward-facing depth camera. For clarity, all sequences are visualized such that the robot moves from left to right.
Learning-based control has revolutionized dynamic locomotion, yet navigating unstructured terrain remains limited by a robot's incomplete awareness of imminent ground contact. While global perception systems such as LiDARs and depth cameras provide environmental context, they are frequently plagued by latencies, occlusions, and the high computational cost of dense geometric reconstruction. On the other hand, proprioceptive feedback is purely reactive, initiating corrections only after impact has occurred. This work explores embedding a minimal suite of low-cost, high-frequency infrared proximity sensors directly into the feet of a quadrupedal robot. These sensors provide "pre-contact" feedback that is robust to self-occlusions and significantly less computationally demanding than conventional vision-based pipelines. By integrating these localized signals into a reinforcement learning framework, we enable the robot to anticipate terrain discontinuities such as gaps and stepping stones that are problematic for traditional perception stacks due to occlusions or state estimation drift. We demonstrate that such sparse, near-field sensing can be reliably modeled in simulation and transferred to the real world with high fidelity. Experimental results show that local proximity sensing substantially improves traversal robustness over discrete terrain and offers a low-power, low-latency alternative or complement to complex global perception suites in unpredictable environments. For more information about results and methods, please see the project website: https://sites.google.com/view/foot-tof/home.
Jiale Fan, Connor Flynn, Tianao Xu +4
All authors are with the Robotic Systems Lab, ETH Zurich.
Achieving safe quadrupedal locomotion in real-world environments has attracted much attention in recent years. When walking over uneven terrain, achieving reliable estimation and realising safety-critical control based on the obtained information is still an open question. To address this challenge, especially for low-cost robots equipped solely with proprioceptive sensors (e.g., IMUs, joint encoders, and contact force sensors), this work first presents an estimation framework that generates a 2.5-D terrain map and extracts support plane parameters, which are then integrated into contact and state estimation. Then, we integrate this estimation framework into a safety-critical control pipeline by formulating control barrier functions that provide rigorous safety guarantees. Experiments demonstrate that the proposed terrain estimation method provides smooth terrain representations. Moreover, the coupled estimation framework of terrain, state, and contact reduces the mean absolute error of base position estimation by 64.8%, decreases the estimation variance by 47.2%, and improves the robustness of contact estimation compared to a decoupled framework. The terrain-informed CBFs integrate historical terrain information and current proprioceptive measurements to ensure global safety by keeping the robot out of hazardous areas and local safety by preventing body-terrain collision, relying solely on proprioceptive sensing.
Peiyu Yang, Jiatao Ding, Wei Pan +2
Dynamic Legged Systems, Istituto Italiano di Tecnologia (IIT), Italy · Department of Industrial Engineering, University of Trento, Italy · Department of Computer Science, University of Manchester, UK +2
Versatile quadruped locomotion depends on a tight coupling between what the robot perceives and what its body can execute. Yet existing visual controllers typically organize depth history using fixed temporal patterns, overlooking that the same temporal span corresponds to different spatial ranges as the robot's speed, posture, and gait phase change. Consequently, the same visual history may be insufficient in one motion state but outdated or misaligned in another. To address this limitation, we propose TempoLoco, a body-aware dynamic visual perception framework that organizes visual memory according to the robot's current locomotion state. TempoLoco learns multiple complementary temporal views from a long depth buffer, encodes them within a shared feature space, and dynamically aggregates them using proprioceptive history and multi-scale terrain evidence. This enables a single policy to align visual anticipation with the robot's current motion capabilities across complex terrains, including stairs, platforms, gaps, discrete obstacles, rough ground, and slopes. From the experiment analysis, TempoLoco achieves a 78.4% success rate, compared with 58.2% for the strongest fixed-history baseline and 62.1% for uniform multi-scale fusion. In separate capability evaluations, it completes 41/45 simulated trials across nine terrain types and 23/25 real-world trials on a Unitree B2 with a fixed arm, demonstrating robust and deployable locomotion through body-aware dynamic visual perception.
Hao Zhang, Yuping Yan, Yitian Hong +5
Westlake University, Hangzhou, China. · East China University of Science and Technology, Shanghai, China.