OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 11 — Apr. 10, 2013
  • pp: 2286–2293

Three-bit representation of three-dimensional range data

Nikolaus Karpinsky, Yajun Wang, and Song Zhang  »View Author Affiliations

Applied Optics, Vol. 52, Issue 11, pp. 2286-2293 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (1251 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Our previous research has shown that 3D range data sizes can be substantially reduced if they are converted into regular 2D images using the Holoimage technique. Yet, this technique requires all 24 bits of a standard image to represent one 3D point, making it impossible for a regular 2D image to carry 2D texture information as well. This paper proposes an approach to represent 3D range data with 3 bits, further reducing the data size. We demonstrate that more than an 8.21 compression ratio can be achieved with compression root-mean-square error of only 0.34%. Moreover, we can use another bit to represent a black-and-white 2D texture, and thus both 3D data and 2D texture images can be stored into an 8 bit grayscale image. Both simulation and experiments are presented to verify the performance of the proposed technique.

© 2013 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(100.6890) Image processing : Three-dimensional image processing
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis

ToC Category:
Image Processing

Original Manuscript: November 20, 2012
Revised Manuscript: March 5, 2013
Manuscript Accepted: March 5, 2013
Published: April 4, 2013

Nikolaus Karpinsky, Yajun Wang, and Song Zhang, "Three-bit representation of three-dimensional range data," Appl. Opt. 52, 2286-2293 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. Geng, “Structured-light 3D surface imaging: a tutorial,” Adv. Opt. Photon. 3, 128–160 (2011). [CrossRef]
  2. S. Zhang, “Recent progresses on real-time 3-D shape measurement using digital fringe projection techniques,” Opt. Lasers Eng. 48, 149–158 (2010). [CrossRef]
  3. N. Karpinsky and S. Zhang, “Holovideo: real-time 3D video encoding and decoding on GPU,” Opt. Lasers Eng. 50, 280–286 (2012). [CrossRef]
  4. B. Merry, P. Marais, and J. Gain, “Compression of dense and regular point clouds,” Comput. Graph. Forum 25, 709–716 (2006). [CrossRef]
  5. S. Gumhold, Z. Kami, M. Isenburg, and H.-P. Seidel, “Predictive point-cloud compression,” in ACM SIGGRAPH 2005 Sketches (ACM, 2005), pp. 137–141.
  6. X. Gu, S. J. Gortler, and H. Hoppe, “Geometry images,” ACM Trans. Graph. 21, 355–361 (2002). [CrossRef]
  7. R. Krishnamurthy, B. Chai, and H. Tao, “Compression and transmission of depth maps for image-based rendering,” in Proceedings of 2001 International Conference on Image Processing (IEEE, 2001), pp. 828–831.
  8. X. Gu, S. Zhang, P. Huang, L. Zhang, S.-T. Yau, and R. Martin, “Holoimages,” in Proceedings of the 2006 ACM Symposium on Solid and Physical Modeling (ACM, 2006), pp. 129–138.
  9. N. Karpinsky and S. Zhang, “Composite phase-shifting algorithm for three-dimensional shape compression,” Opt. Eng. 49, 063604 (2010). [CrossRef]
  10. Z. Hou, X. Su, and Q. Zhang, “Virtual structured-light coding for three-dimensional shape data compression,” Opt. Lasers Eng. 50, 844–849 (2012). [CrossRef]
  11. T. L. Schuchman, “Dither signals and their effect on quantization noise,” IEEE Trans. Commun. Technol. 12, 162–165 (1964). [CrossRef]
  12. B. Bayer, “An optimum method for two-level rendition of continuous-tone pictures,” in IEEE International Conference on Communications (IEEE, 1973), pp. 11–15.
  13. T. D. Kite, B. L. Evans, and A. C. Bovik, “Modeling and quality assessment of halftoning by error diffusion,” in IEEE International Conference on Image Processing (IEEE, 2000), pp. 909–922.
  14. R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial gray scale,” J. Soc. Inf. Disp. 17, 75–77(1976).
  15. W. Lohry and S. Zhang, “Genetic method to optimize binary dithering technique for high-quality fringe generation,” Opt. Lett. 38, 540–542 (2013). [CrossRef]
  16. N. Karpinsky and S. Zhang, “3D video compression with the H.264 codec,” Proc. SPIE 8290, 829012 (2012). [CrossRef]
  17. M. McGuire, “A fast, small-radius GPU median filter,” ShaderX6: Advanced Rendering Techniques (Charles River Media, 2008).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited