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MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervision

CVPR 2025 · 3D vision › Depth and stereo · approach: Foundation models for monocular geometry · 69 citations (OpenAlex)

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Trains a ViT-based model (MoGe) to predict affine-invariant 3D point maps from single open-domain images, using a robust optimal efficient (ROE) alignment solver and multi-scale local geometry loss, yielding state-of-the-art point map, depth, and FOV estimation.

Problem

Monocular geometry estimation for open-domain images is ill-posed; scale, shift and focal-length ambiguity make supervision of 3D point maps from single images difficult and existing global alignment is suboptimal or outlier-sensitive.

Approach

Predict an affine-invariant point map (agnostic to global scale and 3D shift) to remove focal-distance ambiguity from supervision, paired with an exact, outlier-robust alignment solver (ROE) for the global loss and a multi-scale sphere-based local geometry loss with independent per-region alignment.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
predict affine-invariant point maps directlyMoGe · Point map, scale-invariant (8-dataset average)Relp: 12.3 -> 7.91Helped
predict affine-invariant point maps directlyMoGe · Point map, affine-invariant (8-dataset average)Relp: 9.43 -> 6.07Helped
predict affine-invariant point maps directlyMoGe · Local point map (5-dataset average)Relp: 7.97 -> 5.50Helped
predict affine-invariant point maps directlyMoGe · Depth map, affine-invariant (8-dataset average)Reld: 8.41 -> 4.72Helped
predict affine-invariant point maps directlyMoGe · Camera FOV (NYUv2, ETH3D, iBims-1 average)Mean error (degrees): 4.06 -> 2.91Helped
replace affine-invariant point maps with SI-Log depth and a dense ray map (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 9.19Hurt
replace affine-invariant point maps with affine-invariant depth and a dense ray map (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 12.2Hurt
replace affine-invariant point maps with scale-invariant point maps (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 8.59Hurt
use L2 least-squares alignment instead of ROE alignment (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 9.48Hurt
use median-based alignment instead of ROE alignment (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 9.44Hurt
remove truncation of alignment objective residuals (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.16 -> 7.12No clear effect
add truncation of alignment objective residuals (ablation)MoGe · Ablation evaluation (ViT-Base; local point map)Relp: 7.12 -> 7.16No clear effect

Surprising findings

Limitations

Experimental setup

Datasets: NYUv2 KITTI ETH3D iBims-1 Sintel GSO DDAD DIODE 21 publicly available datasets (~9M frames) for training

Benchmarks: NYUv2 KITTI ETH3D iBims-1 GSO Sintel DDAD DIODE

Metrics: Relp delta_p 1 Reld delta_d 1 camera FOV mean error camera FOV median error

Baselines: LeReS DUSt3R UniDepth Metric3D V2 ZoeDepth Depth Anything V1 Depth Anything V2 Marigold GeoWizard MiDaS V3.1 Perspective Fields WildCamera

Builds on: DINOv2 DUSt3R UniDepth Depth Anything V2 Marigold

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