Method of three-dimensional reconstruction of surface after triad of images and his exactness estimation

Authors:

Natalya Hrabovska, Bohdan Rusyn, Vitaliy Ivaniuk

Department of “Methods and systems of the remote sensing “, Karpenko Physico-Mechanical Institute of NAS of Ukraine, 5, street Scientific, Lviv, 79601, Ukraine

The article considers the problem of error estimation for three-dimensional surface reconstruction from 2D images. It is proposed to use three directions of illumination of recording images. The error estimation of the reconstruction for the derivatives of the surface depending on two lateral direction of illumination is made.

2D image

3D reconstructio

direction of illumination

1. Sharland S. M. A review of the theoretical modeling of crevice and pitting corrosion Corrosion Science 1987. Vol. 27. N 3, P. 289–323.

2. Marcus P. Corrosion mechanisms in theory and practice 2nd Edition – 2002 – New York, Technology & Engineering – 742 p.

3. Broek. D. Osnovy mekhaniki razrusheniia., D. Broek, M., Vysshaia shkola, 1980, 368 p.

4. Liu Y., Su X. and Zhang Q. A novel encoded-phase technique for phase measuring profilometry, Opt. Express 19(15), 2011, P. 14137–14144.

5. Zhang Q., Su X., Xiang L. and Sun X. 3-D shape measurement based on complementary gray-code light, Opt. Lasers Eng., vol. 50, 2012, P. 574–579.

6. Zhang S., Van Der Weide D. and Oliver J. Superfast phase-shifting method for 3-D shape measurement, Opt. Express vol. 18,No. 9, 2010. P. 9684–9689.

7. Woodham R. J. Photometric method for determining surface orientation from multiple images Optical Engineering. 1980, 19(1), R. 139–144.

8. Maria E. Angelopoulou, Maria Petrou Evaluating the effect of diffuse light on photometric stereo reconstruction Machine Vision and Applications. 2014, Vol. 25, Issue 1, R. 199–210.

9. Yoshizawa, T. Handbook of Optical Metrology - principle and applications – CRC Press, New York 2009, 744 p.

10. Zhang S. High-resolution 3-D profilometry with binary phase-shifting methods, Appl. Opt.50(12), 2011 P.1753–1757.

11. Sudipta N. Sinha, D. Scharstein, R. Szeliski. Efficient high-resolution stereo matching using local plane sweeps //IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2014), 2014, P. 1219–1222.

12. Richard Szeliski. Computer Vision: Algorithms and Applications. Springer, New York,2010, 655 R.

13. Neruinivnyi kontrol stanu poverkhon, urazhenykh koroziinymy pitynhamy, B. P. Rusyn, N. P. Anufriieva, N. R. Hrabovska, V. H. Ivaniuk, Fiz.-khim. mekhanika materialiv, 2013, No 4, P. 90–96.

14. Otsinka hlybyny trishchyny za triadoiu zobrazhen., B. P. Rusyn, V. H. Ivaniuk, O. V. Kapshii, N. P. Anufriieva, Radioelektronika i informatyka, 2010, No 2, P. 70–78.

15. J. H. Lambert. Photometria, sive de Mensura et gradibus luminis, colorum et umbrae, sumptibus viduae E. Klett, 1760.

16. Shintaro Watanabe, Koji Miyajima Detecting Building Changes Using Epipolar Constraint From Aerial Images Taken At Different Positions, ICIP 2001, 2001, P. 201–204.

17. Smirnov V. I. Kurs vysshei matematiki. V. 1, M., Nauka, 1967, 480 p.

18. tool@microtechua.com.

19. Wood W. A. Recent observations on fatigue fracture in metals,, W. A.Wood, ASTM STP 237,1958, P. 110–121.

20. Tetelman A. S. Fracture of structural materials, A. S. Tetelman, A. J. McEvily, John Wiley, 1967, 697 p.