Int J Performability Eng ›› 2020, Vol. 16 ›› Issue (4): 647-655.doi: 10.23940/ijpe.20.04.p16.647655

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3D Surface Measurement of Human Abdomen by Fourier Fringe Analysis and Chinese Remainder Theorem

Yang Wanga,b,*, Deyun Chena, Jinkai Xieb, Jiahao Zhub, and Guangyue Zhangb   

  1. aPostdoctoral Station of Computer Science and Technology, Harbin University of Science and Technology, Harbin, 150080, China
    bHigher Educational Key Laboratory for Measuring and Control Technology and Instrumentations of Heilongjiang Province, Harbin University of Science and Technology, Harbin, 150080, China
  • Submitted on ; Revised on ; Accepted on
  • Contact: Wang Yang
  • Supported by:
    This work is supported by the Heilongjiang Postdoctoral Foundation (No. LBH-Z15101) and Heilongjiang Province University Students Innovation and Entrepreneurship Training Program Project (No. 201910214025). The constructive comments from the reviewers are of this paper gratefully acknowledged as well, as they have helped the authors improve the paper.

Abstract: Aiming at the breathing movement of the human abdominal surface during surgical treatment or radiation therapy, the three-dimensional (3D) dynamic measurement method was studied. This paper proposes a dynamic three-dimensional measurement method based on a 3D Fourier transform to obtain the wrapped phase and unwrap using the Chinese remainder theorem (CRT) to obtain the absolute phase. The three primary colors are used to compile the coding pattern, and the three-dimensional inverse Fourier transform is used to obtain the wrapped phase information. By increasing the time-dimensional filtering, the ringing effect is reduced, and the accuracy of the wrapped phase extraction is improved. When there is no interference, the root means square error does not exceed 0.006 rad, and the peak-to-valley error does not exceed 0.016 rad. Its fault tolerance ability is higher than the two-dimensional Fourier fringe analysis and three-dimensional Fourier fringe with other filters on the abdomen surface. A new method based on CRT is used to unwrap the wrapped phase. Under the limited conditions, the error of the absolute phase does not exceed the error of the wrapped phase. The simulation and actual measurement results show that the method in this paper can realize the 3D dynamic measurements of the human abdominal surface.

Key words: color-encoding fringe projection profilometry, 3D dynamic measurement, Chinese remainder theorem, human abdominal surface