ESTIMATION OF ROTATION PARAMETERS OF THREE-DIMENSIONAL IMAGES BY SPHERICAL HARMONICS ANALYSIS

  • Alexey Rozhentsov Volga State University of Technology
  • Irina Egoshina Volga State University of Technology
  • Alexey Baev Volga State University of Technology
  • Daniil Chernishov Volga State University of Technology
Keywords: spherical harmonics, estimation of parameters, point cloud, rotation of three-dimensional objects,

Abstract


The article describes a method for estimating the rotational parameters of three-dimensional objects defined as a cloud of points in three-dimensional space, which is less complex compared to other methods and it can ensure a single-valued solution. The authors propose an approach of vector-field models to parametrize images of complex three-dimensional objects. The paper discusses the ways for calculating the expansion coefficients in the basis of spherical harmonics for images of three-dimensional point cloud objects. The authors offer an approach that provides the possibility of estimating the rotation parameters of three-dimensional objects from the values of the expansion coefficients in the basis of spherical harmonics.

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Published
2018/12/15
Section
Original Scientific Paper