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Singular Value Decomposition (SVD) Method for LiDAR and Camera Sensor Fusion and Pattern Matching Algorithm.

Kaiqiao Tian1, Meiqi Song2, Ka C Cheok1

  • 1Electrical and Computer Engineering, Oakland University, Rochester, MI 48309, USA.

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|July 12, 2025
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Summary
This summary is machine-generated.

This study introduces a targetless algorithm using Singular Value Decomposition (SVD) and Gradient Descent (GD) to precisely align LiDAR and camera data for autonomous vehicles. The method significantly improves sensor fusion accuracy, reducing errors to under one pixel.

Keywords:
LiDAR and camera data sensor fusionerror detectiongradient descentpattern matchingsingular value decomposition

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Area of Science:

  • Robotics and Autonomous Systems
  • Computer Vision
  • Sensor Fusion

Background:

  • LiDAR and cameras are crucial for autonomous vehicles (AVs), offering complementary depth and visual data.
  • Effective multi-sensor fusion is hindered by resolution, data format, and viewpoint differences.
  • Existing calibration methods often require manual targets, which is impractical for dynamic AV environments.

Purpose of the Study:

  • To develop a robust, targetless algorithm for aligning LiDAR and camera data in AVs.
  • To address challenges in multi-sensor fusion caused by calibration drift.
  • To improve the accuracy and reliability of sensor fusion for real-time perception.

Main Methods:

  • A novel pattern matching algorithm utilizing Singular Value Decomposition (SVD) and Gradient Descent (GD).
  • Alignment of geometric features (contours, convex hulls) between projected LiDAR point clouds and 2D image segments.
  • Computation of an optimal transformation matrix for rotation, translation, and scale correction.

Main Results:

  • Achieved up to 85% improvement in alignment accuracy on a vehicle-mounted platform.
  • Reduced final projection error to less than 1 pixel.
  • Demonstrated a practical solution for maintaining cross-sensor alignment despite calibration drift.

Conclusions:

  • The proposed SVD-GD framework enables robust, targetless calibration for LiDAR-camera fusion.
  • This approach provides reliable sensor fusion for autonomous driving applications susceptible to calibration drift.
  • Enables real-time perception systems to operate robustly without the need for frequent recalibration.