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Efficient object location determination and error analysis based on barycentric coordinates.

Andrea Bodonyi1,2, Roland Kunkli3

  • 1Faculty of Informatics, University of Debrecen, Debrecen, H-4028, Hungary.

Visual Computing for Industry, Biomedicine, and Art
|August 1, 2020
PubMed
Summary

This study introduces an efficient barycentric coordinate method for converting local to world coordinates. The technique enhances precision and performance in motion tracking by using reference points as polyhedron vertices.

Keywords:
Barycentric coordinatesConversionCoordinate systemsLocationTransformation

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Area of Science:

  • Computational geometry
  • Robotics and motion analysis
  • Computer graphics

Background:

  • Converting local to world coordinates is crucial for motion analysis.
  • Existing methods may lack precision or efficiency.
  • Tracking objects requires accurate spatial transformations.

Purpose of the Study:

  • To propose an efficient computational method for local-to-world coordinate conversion.
  • To leverage barycentric coordinates for improved accuracy in motion tracking.
  • To compare the proposed method with transformation matrix techniques.

Main Methods:

  • Utilizing barycentric coordinates based on fixed reference points.
  • Defining reference points as vertices of a polyhedron.
  • Implementing and comparing the barycentric method against transformation matrices.

Main Results:

  • The barycentric coordinate method demonstrates higher precision.
  • The proposed approach offers improved computational performance.
  • Diagrams validate the efficiency and accuracy of the barycentric method.

Conclusions:

  • Barycentric coordinates provide an effective solution for local-to-world coordinate conversion.
  • The method offers a significant improvement over traditional techniques.
  • This approach enhances accuracy and performance in dynamic spatial analysis.