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Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Prediction.

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    This study introduces virtual normal loss to improve monocular depth prediction accuracy and robustness by enforcing 3D geometric constraints. This method enhances metric depth learning and enables robust affine-invariant depth estimation without absolute scale data.

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    Area of Science:

    • Computer Vision
    • 3D Geometry Processing
    • Machine Learning

    Background:

    • Monocular depth prediction is vital for 3D scene understanding.
    • Existing methods often overlook crucial 3D geometric constraints.
    • Progress in evaluation metrics has not fully addressed geometric inaccuracies.

    Purpose of the Study:

    • To highlight the significance of high-order 3D geometric constraints in depth prediction.
    • To introduce a novel loss term for improved accuracy and robustness.
    • To enable learning of scale-invariant depth without metric supervision.

    Main Methods:

    • Incorporated a virtual normal loss term based on randomly sampled 3D points.
    • Enforced geometric constraints directly within the depth estimation model.
    • Trained and evaluated on diverse datasets, including a newly constructed large-scale dataset (DiverseDepth).

    Main Results:

    • Significantly improved accuracy and robustness in monocular depth estimation.
    • Achieved state-of-the-art results on NYU Depth-V2 and KITTI datasets for metric depth.
    • Demonstrated successful recovery of 3D structures (point clouds, surface normals) directly from predicted depth.
    • Showcased excellent generalization capabilities with zero-shot testing on multiple datasets.

    Conclusions:

    • Virtual normal loss effectively integrates 3D geometric constraints into depth prediction.
    • The method enhances both metric and affine-invariant depth estimation.
    • Eliminates the need for additional models for 3D structure recovery.
    • Offers a robust approach for depth prediction across diverse scenes and datasets.