Revisiting Gradient-based Uncertainty for Monocular Depth Estimation

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Hauptverfasser: Hornauer, Julia, El-Ghoussani, Amir, Belagiannis, Vasileios
Format: Preprint
Veröffentlicht: 2025
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author Hornauer, Julia
El-Ghoussani, Amir
Belagiannis, Vasileios
author_facet Hornauer, Julia
El-Ghoussani, Amir
Belagiannis, Vasileios
contents Monocular depth estimation, similar to other image-based tasks, is prone to erroneous predictions due to ambiguities in the image, for example, caused by dynamic objects or shadows. For this reason, pixel-wise uncertainty assessment is required for safety-critical applications to highlight the areas where the prediction is unreliable. We address this in a post hoc manner and introduce gradient-based uncertainty estimation for already trained depth estimation models. To extract gradients without depending on the ground truth depth, we introduce an auxiliary loss function based on the consistency of the predicted depth and a reference depth. The reference depth, which acts as pseudo ground truth, is in fact generated using a simple image or feature augmentation, making our approach simple and effective. To obtain the final uncertainty score, the derivatives w.r.t. the feature maps from single or multiple layers are calculated using back-propagation. We demonstrate that our gradient-based approach is effective in determining the uncertainty without re-training using the two standard depth estimation benchmarks KITTI and NYU. In particular, for models trained with monocular sequences and therefore most prone to uncertainty, our method outperforms related approaches. In addition, we publicly provide our code and models: https://github.com/jhornauer/GrUMoDepth
format Preprint
id arxiv_https___arxiv_org_abs_2502_05964
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting Gradient-based Uncertainty for Monocular Depth Estimation
Hornauer, Julia
El-Ghoussani, Amir
Belagiannis, Vasileios
Computer Vision and Pattern Recognition
Monocular depth estimation, similar to other image-based tasks, is prone to erroneous predictions due to ambiguities in the image, for example, caused by dynamic objects or shadows. For this reason, pixel-wise uncertainty assessment is required for safety-critical applications to highlight the areas where the prediction is unreliable. We address this in a post hoc manner and introduce gradient-based uncertainty estimation for already trained depth estimation models. To extract gradients without depending on the ground truth depth, we introduce an auxiliary loss function based on the consistency of the predicted depth and a reference depth. The reference depth, which acts as pseudo ground truth, is in fact generated using a simple image or feature augmentation, making our approach simple and effective. To obtain the final uncertainty score, the derivatives w.r.t. the feature maps from single or multiple layers are calculated using back-propagation. We demonstrate that our gradient-based approach is effective in determining the uncertainty without re-training using the two standard depth estimation benchmarks KITTI and NYU. In particular, for models trained with monocular sequences and therefore most prone to uncertainty, our method outperforms related approaches. In addition, we publicly provide our code and models: https://github.com/jhornauer/GrUMoDepth
title Revisiting Gradient-based Uncertainty for Monocular Depth Estimation
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.05964