SLAM Back-End Optimization Using Parallax-Weighted Reprojection Error

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Solution Overview

Problem

Existing back-end optimization methods for simultaneous localization and mapping fail to accurately represent the relationship between reprojection error and depth of points, leading to low accuracy in pose estimation due to the lack of spatial information description.

Innovation Solution

The method involves determining a relative reprojection error by providing weights to the reprojection error through parallax, which is the baseline length between projection points on the camera frame, to enhance the robustness of the optimization process and improve spatial localization accuracy.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional reprojection error is used as loss function for back-end optimization, then the optimization process is simple, but the pose estimation accuracy is low due to lack of spatial information

Engineering Contradiction:
Improvepose estimation accuracyVSAvoidoptimization process complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent transforms the traditional reprojection error into a relative reprojection error by changing the parameter representation. Specifically, it uses parallax (baseline length between projection points) as a weighting factor to normalize the reprojection error, converting absolute pixel distance into a relative measure that accounts for spatial depth information. This parameter transformation enables the loss function to reflect both measurement accuracy and spatial relationships without requiring complex additional modules.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces parallax as an intermediary element that mediates between the reprojection error and the optimization process. By calculating the baseline length between projection points of the same 3D point across different views and using it to weight the reprojection error, the parallax acts as a bridge that injects spatial depth information into the otherwise simple reprojection error metric, thereby improving pose estimation accuracy while maintaining optimization simplicity.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Reliability

If reprojection error is used without spatial weighting, then the calculation is computationally efficient, but the relationship between reprojection error and depth of points is not accurately represented

Engineering Contradiction:
Improvespatial relationship representationVSAvoidcomputational efficiency
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent changes the parameter representation of reprojection error from absolute pixel distance to relative distance normalized by parallax. By dividing the reprojection error by the baseline length (parallax) between projection points, the patent creates a depth-aware error metric that accurately represents the relationship between reprojection error and point depth, improving reliability without requiring complex computational structures.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

Instead of directly modeling the complex relationship between reprojection error and depth through multiple variables, the patent inverts the approach by using parallax (which is easily computable from camera geometry and point coordinates) as a weighting factor. This inversion simplifies the computational process while achieving accurate spatial relationship representation, as parallax naturally encodes depth information through the baseline length between views.

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

Data Source

PatentUS12602822B2Method device and storage medium for back-end optimization of simultaneous localization and mapping
Publication Date: 2026.04.14 BEIJING ZITIAO NETWORK TECH CO LTD
  • US12602822B2 patent drawing
  • US12602822B2 patent drawing
  • US12602822B2 patent drawing

AI summary

The disclosure provides a method, device and storage medium for back-end optimization of simultaneous localization and mapping. In the method, a target three-dimensional space point is determined in three-dimensional space points of a plurality of key frames located by a simultaneous localization and mapping system. In addition, a reprojection error is determined based on the target three-dimensional space point, and a weight is provided for the reprojection error by preprocessing the maximum parallax corresponding to the target three-dimensional space point, to obtain the relative reprojection error.