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A Maximum Feasible Subsystem for Globally Optimal 3D Point Cloud Registration.

Chanki Yu1, Da Young Ju2

  • 1Department of Media Technology, Sogang University, Seoul 04107, Korea. ckyu@sogang.ac.kr.

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|February 15, 2018
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Summary
This summary is machine-generated.

This study introduces a globally optimal algorithm for robust point cloud registration, accurately aligning 3D data even with significant outliers and minimal overlap. The method enhances accuracy and reliability in feature matching and transformation estimation.

Keywords:
3D measurementmaximum feasible subsystemoutlier removalpairwise three-dimensional (3D) registrationpoint cloud alignment

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Area of Science:

  • Computer Vision
  • Robotics
  • Computational Geometry

Background:

  • Point cloud registration is crucial for 3D data processing in various fields.
  • Existing methods often struggle with outliers and require initial parameter estimates.
  • Robust and accurate registration is essential for applications like autonomous navigation and 3D reconstruction.

Purpose of the Study:

  • To propose a globally optimal algorithm for robust pairwise point cloud registration.
  • To address the challenges of outliers and initialization in 3D feature matching.
  • To achieve accurate transformation parameter estimation in challenging registration scenarios.

Main Methods:

  • Formulation of registration as a branch-and-bound problem using mixed-integer linear programming.
  • Development of a maximum feasible subsystem framework for global optimization.
  • Identification of geometrically correct correspondences among putative 3D feature matches.

Main Results:

  • The proposed algorithm achieves globally optimal transformation parameter estimation.
  • Demonstrated superior accuracy and reliability compared to state-of-the-art registration methods.
  • Exhibited robustness against severe outliers and mismatches, even with small geometric overlap.

Conclusions:

  • The novel algorithm provides a robust and accurate solution for point cloud registration.
  • Global optimization eliminates the need for initial transformation parameter guesses.
  • The method is highly effective in challenging real-world scenarios with noisy data.