PROBABILISTIC APPROACH TO DOMAIN SELECTION FOR INTEGRATING THE NORMAL’S FIELD IN 3D RECONSTRUCTION

Authors

  • Bogdan Rusyn
  • Oleksiy Lutsyk
  • Yarema Varetskyy

DOI:

https://doi.org/10.47839/ijc.14.1.649

Keywords:

3D reconstruction, photometric stereo, normal integration, classification, normals field.

Abstract

The method of integrating normal’s field is improved by using the proposed algorithm for breaking local areas based on Schwartz equations. It was proposed local criteria of splitting normal’s onto local areas, which is crucial for the next step of building the sequence chain. The process of classification in case of reducing the training set to select regions of integration is investigated. The reason for the effect of retraining is conditioned with a minimal number of errors on the training sample. It is shown that stratification of algorithms by mistakes and increasing their similarities reduce the likelihood of the retraining. Proposed approaches are implemented as a software and are suitable for the broad class of real surfaces.

References

R. J. Woodham, Determining surface curvature with photometric stereo, in Proceedings of the IEEE Conference on Robotics and Automation, Scottsdale, USA, 1989, pp. 36-42.

L. B. Wolf, Surface curvature and contour from photometric stereo, in Proceedings of the Defence Advanced Research Project Agency Image Understanding Workshop (DARPA), Los Altos, USA, 1987, pp. 821-824.

H. D. Tagare, R. J. P. de Figueredo, A theory of photometric stereo for a class of diffuse non-Lambertian surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, (13) 2 (1991), pp. 133-152.

M. S. Drew, Shape and specularity from color, Technical Report CSS/LCCR TR-93–01, Simon Fraser University, Burnaby, 1993.

Z. Wu, L. Li, A line-integration based method for depth recovery from surface normals, in Proceedings of the 9th IEEE Conference on Pattern Recognition, Rome, Italy, 1988, pp. 591-595.

J. Ho, J. Lim, M. H. Yang, D. J. Kriegman, Integrating surface normal vector susing fast marching method, in Proceedings of the European Conference on Computer Vision (ECCV), Graz, Austria, May 7-13, 2006, pp. 239-250.

J. D. Durou, J. F. Aujol, and F. Courteille, Integrating the normal field of a surface in the presence of discontinuities, in Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), Lecture Notes in Computer Science, (5681) 2009, pp. 261-273.

B. P. Rusyn, V. A. Tayanov, O. A. Lutsyk, Upper-bound estimates for classifiers based on a dissimilarity function, Cybernetics and system analysis, Eds. Springer-Verlag, (48) 4 (2012), pp. 592-600.

S. Galliani, M. Breuß, Y. C. Ju, Fast and robust surface normal integration by a discrete Eikonal equation, R. Bowden, J. Collomosse, K. Mikolajczyk (Eds.), in Proceedings of the 23rd British Machine Vision Conference (BMVC), Surrey, UK, September 3-7, 2012, BMVA Press, pp. 1-11.

M. Oswald, D. Cremers. Surface normal integration for convex space-time multi-view reconstruction, in Proceedings of the British Machine Vision Conference (BMVC), Nottingham, UK, September 1-5, 2014, pp. 61-71.

D. Cremers, K. Kolev, Multiview stereo and silhouette consistency via convex functionals over convex domains, IEEE Transactions on Pattern Analysis and Machine Intelligence, (33) 6 (2011), pp. 1161-1174.

P. Shenga, P. Bomark, O. Broman and O. Hagman, 3D phase-shift laser scanning of log shape, BioResources, (9) 4 (2014), pp. 7593-7605.

S. Zhang and S. T. Yau, High-resolution, realtime 3D absolute coordinate measurement based on a phase-shifting method, Optics Express, (14) 7 (2006), pp. 2644-2649.

P. Payeur, D. Desjardins, Structured light stereoscopic imaging with dynamic pseudo-random patterns, Image Analysis and Recognition, Lecture Notes in Computer Science, Springer, (5627) (2009), pp. 687-696.

S. Ferrari, I. Frosio, V. Piuri, N. A. Borghese, Automatic multiscale meshing through HRBF networks, IEEE Transactions on Instrumentation and Measurement, (54) 4 (2005), pp. 1463-1470.

S. Ferrari, F. Bellocchio, V. Piuri, N. A. Borghese, A hierarchical RBF online learning algorithm for real-time 3-D scanner, IEEE Transactions on Neural Networks, (21) 2 (2010), pp. 275-285.

Downloads

Published

2014-08-01

How to Cite

Rusyn, B., Lutsyk, O., & Varetskyy, Y. (2014). PROBABILISTIC APPROACH TO DOMAIN SELECTION FOR INTEGRATING THE NORMAL’S FIELD IN 3D RECONSTRUCTION. International Journal of Computing, 14(1), 30-35. https://doi.org/10.47839/ijc.14.1.649

Issue

Section

Articles