NeRF Pose Estimation Using Geometric Consistency on Unposed Images

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Solution Overview

Problem

Conventional neural radiance field (NeRF) models require known and accurate camera poses for training, failing on smooth or self-similar scenes, and existing pose estimation methods are insufficient for complex real-world scenes, limiting the generation of high-quality images.

Innovation Solution

A system that trains a NeRF model jointly with a pose encoder neural network using a geometric consistency loss, incorporating an equivalence relation to map pose estimates to equivalence classes and penalize deviations from epipolar geometry, enabling accurate image synthesis from unposed images.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional pose estimation algorithms are used, then the system can estimate camera poses, but it fails on smooth or self-similar scenes and cannot achieve high quality image synthesis

Engineering Contradiction:
Improvepose estimation accuracyVSAvoidreliability on smooth or self-similar scenes
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent introduces an equivalence relation as an intermediary concept to transform the pose estimation problem. Instead of directly estimating poses from images (which fails on smooth/self-similar scenes), the system maps poses to equivalence classes that capture geometric relationships invariant to certain transformations. This intermediary representation makes the estimation more robust and reliable.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent changes the parameter space by transforming pose estimation into an equivalence class mapping problem. By representing poses through equivalence classes rather than direct camera parameters, the system achieves better generalization and reliability on challenging scene types while maintaining measurement precision.

Inventive Principle:
Principle #35Parameter changes

2Adaptability or versatility

If the system uses an encoder neural network with implicit regularization, then it can train on unposed images, but the regularization is insufficient for complex real-world scenes

Engineering Contradiction:
Improveability to train on unposed imagesVSAvoidreconstruction accuracy on complex scenes
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The patent implements feedback through the geometric consistency loss that operates on equivalence classes. The loss function provides corrective feedback during training by penalizing deviations from geometric consistency, enabling the system to adapt to complex real-world scenes while maintaining high reconstruction accuracy that implicit regularization alone cannot achieve.

Inventive Principle:
Principle #23Feedback

3Ease of manufacture

If conventional NeRF training requires known camera poses, then training is straightforward, but the system cannot handle unposed images and requires more views

Engineering Contradiction:
Improveease of training with posed imagesVSAvoidability to process unposed images
Core Design Contradiction:
Ease of manufactureVSAdaptability or versatility

Solution Approach 1:

The patent inverts the conventional approach by not requiring known poses as input. Instead, it formulates the problem as learning an equivalence relation from unposed images, where the pose information is implicitly learned through the geometric consistency constraints rather than being explicitly provided during training.

Inventive Principle:
Principle #13The other way round (Inversion)

4Productivity

If the system reduces pose estimation to equivalence classes, then the problem becomes more convex and requires fewer views, but the approach is more complex

Engineering Contradiction:
Improvenumber of views required for trainingVSAvoidcomplexity of equivalence relation mapping
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The patent uses copying by representing poses through equivalence classes that capture essential geometric relationships. This copying approach allows the system to work with simplified representations that require fewer training views while the underlying complexity is managed through the structured equivalence relation framework.

Inventive Principle:
Principle #26Copying

Data Source

PatentUS20250384581A1Neural radiance fields with unposed images using geometric consistency
Publication Date: 2025.12.18 GOOGLE LLC
  • US20250384581A1 patent drawing
  • US20250384581A1 patent drawing
  • US20250384581A1 patent drawing

AI summary

Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for training a neural radiance field (NeRF) model on unposed images. In particular, the training incorporates a geometric consistency loss to train the encoder neural network that predicts the poses of the unposed images.