iipp publishingJournal of Applied Engineering Science

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


DOI: 10.5937/jaes16-18157
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions. 
Creative Commons License

Volume 16 article 566 pages: 570 - 576

Alexey Rozhentsov
Volga State University of Technology, Yoshkar-Ola, Russian Federation

Irina Egoshina
Volga State University of Technology, Yoshkar-Ola, Russian Federation

Alexey Baev
Volga State University of Technology, Yoshkar-Ola, Russian Federation

Daniil Chernishov
Volga State University of Technology, Yoshkar-Ola, Russian Federation

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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The work is executed at financial support of the Ministry of education and science of Russian Federation, project RFMEFI577170254 "System intraoperative navigation technology to support augmented reality-based virtual 3D models of organs obtained from the results of CT diagnostics, minimally invasive surgeries".

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