DOI QR코드

DOI QR Code

3D Printing Watermarking Method Based on Radius Curvature of 3D Triangle

  • Pham, Ngoc-Giao (Dept. of IT Convergence and Application Engineering, Pukyong National University) ;
  • Song, Ha-Joo (Dept. of IT Convergence and Application Engineering, Pukyong National University) ;
  • Lee, Suk-Hwan (Dept. of Information Security, Tongmyong University) ;
  • Kwon, Ki-Ryong (Dept. of IT Convergence and Application Engineering)
  • 투고 : 2017.08.24
  • 심사 : 2017.12.06
  • 발행 : 2017.12.31

초록

Due to the fact that 3D printing is applied to many areas of life, 3D printing models are often used illegally without any permission from the original providers. This paper presents a novel watermarking algorithm for the copyright protection and ownership identification for 3D printing based on the radius curvature of 3D triangle. 3D triangles are extracted and classified into groups based on radius curvature by the clustering algorithm, and then the mean radius curvature of each group will be computed for watermark embedding. The watermark data is embedded to the groups of 3D triangle by changing the mean radius curvature of each group. In each group, we select a 3D triangle which has the nearest radius curvature with the changed mean radius curvature. Finally, we change the vertices of the selected facet according to the changed radius curvature has been embedded watermark. In experiments, the distance error between the original 3D printing model and the watermarked 3D printing model is approximate zero, and the Bit Error Rate is also very low. From experimental results, we verify that the proposed algorithm is invisible and robustness with geometric attacks rotation, scaling and translation.

키워드

참고문헌

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피인용 문헌

  1. A Watermarking Method for 3D Printing Based on Menger Curvature and K-Mean Clustering vol.10, pp.4, 2018, https://doi.org/10.3390/sym10040097
  2. 오프라인 매장에서 고객 순번 관리를 위한 스마트 시스템 vol.21, pp.8, 2017, https://doi.org/10.9717/kmms.2018.21.8.925