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NeW CRFs: Neural Window Fully-connected CRFs for Monocular Depth Estimation
Weihao Yuan Xiaodong Gu Zuozhuo Dai Siyu Zhu Ping Tan

Abstract
Estimating the accurate depth from a single image is challenging since it is inherently ambiguous and ill-posed. While recent works design increasingly complicated and powerful networks to directly regress the depth map, we take the path of CRFs optimization. Due to the expensive computation, CRFs are usually performed between neighborhoods rather than the whole graph. To leverage the potential of fully-connected CRFs, we split the input into windows and perform the FC-CRFs optimization within each window, which reduces the computation complexity and makes FC-CRFs feasible. To better capture the relationships between nodes in the graph, we exploit the multi-head attention mechanism to compute a multi-head potential function, which is fed to the networks to output an optimized depth map. Then we build a bottom-up-top-down structure, where this neural window FC-CRFs module serves as the decoder, and a vision transformer serves as the encoder. The experiments demonstrate that our method significantly improves the performance across all metrics on both the KITTI and NYUv2 datasets, compared to previous methods. Furthermore, the proposed method can be directly applied to panorama images and outperforms all previous panorama methods on the MatterPort3D dataset. Project page: https://weihaosky.github.io/newcrfs.
Code Repositories
Benchmarks
| Benchmark | Methodology | Metrics |
|---|---|---|
| monocular-depth-estimation-on-kitti-eigen | NeWCRFs | Delta u003c 1.25: 0.974 Delta u003c 1.25^2: 0.997 Delta u003c 1.25^3: 0.999 RMSE: 2.129 RMSE log: 0.079 Sq Rel: 0.155 absolute relative error: 0.052 |
| monocular-depth-estimation-on-matterport3d | NeWCRFs | Delta u003c 1.25: 0.9376 Delta u003c 1.25^2: 0.9812 Delta u003c 1.25^3: 0.9933 RMSE: 0.4279 absolute error: 0.197 absolute relative error: 0.0793 |
| monocular-depth-estimation-on-nyu-depth-v2 | NeWCRFs | Delta u003c 1.25: 0.922 Delta u003c 1.25^2: 0.992 Delta u003c 1.25^3: 0.998 RMSE: 0.334 absolute relative error: 0.095 log 10: 0.041 |
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