mlsanityData to 7 Oct 2026

Learning Proposes, Geometry Disposes: A Modular Framework for Efficient Spatial Reasoning

arXiv 2602.14409 ↗First posted 16 Feb 2026cs.CVcited by 0

On the map: LLM reasoning → Spatial and embodied reasoning

Abstract (arXiv)

Spatial perception aims to estimate camera motion and scene structure from visual observations, a problem traditionally addressed through geometric modeling and physical consistency constraints. Recent learning-based methods have demonstrated strong representational capacity for geometric perception and are increasingly used to augment classical geometry-centric systems in practice. However, whether learning components should directly replace geometric estimation or instead serve as intermediate modules within such pipelines remains an open question. In this work, we address this gap and investigate an end-to-end modular framework for effective spatial reasoning, where learning proposes geometric hypotheses, while geometric algorithms dispose estimation decisions. In particular, we study this principle in the context of relative camera pose estimation on RGB-D sequences. Using VGGT as a representative learning model, we evaluate learning-based pose and depth proposals under varying motion magnitudes and scene dynamics, followed by a classical point-to-plane RGB-D ICP as the geometric backend. Our experiments on the TUM RGB-D benchmark reveal three consistent findings: (1) learning-based pose proposals alone are unreliable; (2) learning-proposed geometry, when improperly aligned with camera intrinsics, can degrade performance; and (3) when learning-proposed depth is geometrically aligned and followed by a geometric disposal stage, consistent improvements emerge in moderately challenging rigid settings. These results demonstrate that geometry is not merely a refinement component, but an essential arbiter that validates and absorbs learning-based geometric observations. Our study highlights the importance of modular, geometry-aware system design for robust spatial perception.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Spatial and embodied reasoning, one of 17 directions in LLM reasoning. Builds on 9 of its 20 references that are in the map. First posted on arXiv 16 Feb 2026.

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9 of 20 references.

References · 9

  1. 2025VGGT: Visual Geometry Grounded Transformercited by 1,475
  2. 2015ORB-SLAM: a Versatile and Accurate Monocular SLAM Systemcited by 983
  3. 2020ORB-SLAM3: An Accurate Open-Source Library for Visual, Visual-Inertial and Multi-Map SLAMcited by 862
  4. 2021DROID-SLAM: Deep Visual SLAM for Monocular, Stereo, and RGB-D Camerascited by 673
  5. 2019Unsupervised Scale-consistent Depth and Ego-motion Learning from Monocular Videocited by 244
  6. 2018DeepV2D: Video to Depth with Differentiable Structure from Motioncited by 185
  7. 2017DeepVO: Towards End-to-End Visual Odometry with Deep Recurrent Convolutional Neural Networkscited by 173
  8. 2018CodeSLAM - Learning a Compact, Optimisable Representation for Dense Visual SLAMcited by 151
  9. 2020DeepFactors: Real-Time Probabilistic Dense Monocular SLAMcited by 117

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  1. 2026Make Geometry Matter for Spatial Reasoning
  2. 2026Geometric Encoding for Spatial Reasoning in Vision-Language Models
  3. 2026Lost in Space? Vision-Language Models Struggle with Relative Camera Pose Estimation
  4. 2026Reinforcing Dual-Path Reasoning in Spatial Vision Language Models
  5. 2026GeoWeaver: Grounding Visual Tokens with Geometric Evidence before Scene Reasoning
  6. 2026From Reasoning Failures to Composable Video Spatial Intelligence
  7. 2026Unfold The World: Factorize 4D Properties in Reinforcing Spatial Reasoning
  8. 2026Spatial-Conditioned Reasoning in Long-Egocentric Videos