Journal of Korea Multimedia Society (한국멀티미디어학회논문지)

Korea Multimedia Society (한국멀티미디어학회)
권호 표지
DOI QR코드

DOI QR Code

A Derivation of the Accuracy Relationship between the Reconstruction of 3D Object Coordinates and the Number of Closed Curves

폐곡선의 수에 따른 3차원 물체의 좌표 복원 정확도 관계 도출

  • Lee, Deokwoo (Department of Visual Image Design Engineering, Youngsan University)
  • Received : 2016.12.28
  • Accepted : 2017.06.21
  • Published : 2017.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents a relationship between the number of curves and geometric parameters of a 3D object. Once the relationship is established, the number of closed curves that can reliably represent 3D object is derived. Inspired by Shannon-Nyquist Sampling Theorem, in this paper, approach for sampling rate (defined as the minimum number of curves) for 3D reconstruction is proposed. The relationship is straightforward, is suitable for application to 3D object overlaid with closed-continuous curves, and can achieve efficient 3D reconstruction system in practice. To substantiate the proposed approach, simulation results are provided and the results show that the number of curves can be decreased without loss of generality of characteristics of a target 3D object.

Keywords

References

  1. K. Choi, D. Jung, S. Lee, and J. Choi, “Interaction Augmented Reality System Using a Hand Motion,” Journal of Korea Multimedia Society, Vol. 15, No. 4, pp. 425-438, 2012. https://doi.org/10.9717/kmms.2012.15.4.425
  2. C. Choi, S. Choi, and S. Park, “Three Dimensional Tracking of Road Signs Based on Stereo Vision Technique,” Journal of Institute of Control, Robotics and Systems, Vol. 20, No. 12, pp. 1259-1266, 2014. https://doi.org/10.5302/J.ICROS.2014.14.0058
  3. B. Tippetts, D.J. Lee, K. Lillywhite, and J. Archibald, “Review of Stereo Vision Algorithms and Their Suitability for Resource-Limited Systems,” Journal of Real-Time Image Processing, Vol. 11, No. 1, pp. 5-25, 2016. https://doi.org/10.1007/s11554-012-0313-2
  4. J. Geng, “Structured-Light 3D Surface Imaging: A Tutorial,” Journal of Advances in Optics and Photonics, Vol. 3, No. 2, pp. 128-160, 2011. https://doi.org/10.1364/AOP.3.000128
  5. S. Choi, B. Ham, C. Oh, H. Choo, J. Kim, and K. Sohn, "Hybrid Approach for Accurate Depth Acquisition with Structured Light and Stereo Camera," Proceeding of IEEE international Symposium on Broadband Multimedia Systems and Broadcasting, pp. 1-4, 2012.
  6. Z. Zhang, “A Flexible New Technique for Camera Calibration,” Journal of IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 22, No. 11, pp. 1330-1334, 2000. https://doi.org/10.1109/34.888718
  7. F. Alhwarin, A. Ferrein, and I. Scholl, "IR Stereo Kinect : Improving Depth Images by Combining Structured Light with IR Stereo," Proceeding of Pacific Rim International Conference on Artificial Intelligence, pp. 409-421, 2014.
  8. H. Drira, B.B. Amor, A. Srivastava, M. Daoudi, and R. Slama, “3D Face Recognition Under Expressions, Occlusions, and Pose Variations,” Journal of IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 35, No. 9, pp. 2270-2283, 2013. https://doi.org/10.1109/TPAMI.2013.48
  9. D.L. Donoho, “Compressed Sensing,” Journal of IEEE Transactions on Information Theory, Vol. 52, No. 4, pp. 1289-1306, 2006. https://doi.org/10.1109/TIT.2006.871582
  10. D. Lee and H. Krim, "3D Surface Reconstruction Using Structured Circular Light Patterns," Proceeding of International Conference on Advanced Concepts for Intelligent Vision Systems, Lecture Notes in Computer Science, pp. 279-289, 2010.
  11. P. Liu, Y. Wang, D. Huang, Z. Zhang, and L. Chen, “Learning the Spherical Harmonic Features for 3-D Face Recognition,” Journal of IEEE Transactions on Image Processing, Vol. 22, No. 3, pp. 914-925, 2013. https://doi.org/10.1109/TIP.2012.2222897
  12. F. Lacquaniti, C. Terzuolo, and P. Viviani, “The Law Relating The Kinematic and Figural Aspects of Drawing Movements,” Journal of Acta Physiologica, Vol. 54, No. 13, pp. 115-130, 1983.
  13. T. Jia, Z. Zhou, and H. Gao, "Depth Measurement Based on Infrared Coded Structured Light," Journal of Sensors, Vol. 2014, Article ID 852621, 8 pages, 2014. doi:10.1155/2014/ 852621.
  14. D. Scharstein and R. Szeliski, "High-Accuracy Stereo Depth Maps Using Structured Light," Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, pp. 195-202, 2003.
  15. B. Langmann, K. Hartmann, and O. Loffeld, "Depth Camera Technology Comparison and Performance Evaluation," Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods, pp. 438-444, 2012.