Please wait a minute...
Frontiers of Computer Science

ISSN 2095-2228

ISSN 2095-2236(Online)

CN 10-1014/TP

Postal Subscription Code 80-970

2018 Impact Factor: 1.129

Front. Comput. Sci.    2017, Vol. 11 Issue (2) : 320-331    https://doi.org/10.1007/s11704-016-5255-6
RESEARCH ARTICLE
Improved shape from shading without initial information
Lyes ABADA(),Saliha AOUAT
Laboratory of Research in Artificial Intelligence, Department of Computer Science, University of Sciences and Technology Houari Boumediene (USTHB), Algiers 16111, Algeria
 Download: PDF(993 KB)  
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

The number of constraints imposed on the surface, the light source, the camera model and in particular the initial information makes shape from shading (SFS) very difficult for real applications. There are a considerable number of approaches which require an initial data about the 3D object such as boundary conditions (BC). However, it is difficult to obtain these information for each point of the object Edge in the image, thus the application of these approaches is limited. This paper shows an improvement of the Global View method proposed by Zhu and Shi [1]. The main improvement is that we make the resolution done automatically without any additional information on the 3D object. The method involves four steps. The first step is to determine the singular curves and the relationship between them. In the second step, we generate the global graph, determine the sub-graphs, and determine the partial and global configuration. The proposed method to determine the convexity and the concavity of the singular curves is applied in the third step. Finally, we apply the Fast-Marching method to reconstruct the 3D object. Our approach is successfully tested on some synthetic and real images. Also, the obtained results are compared and discussed with some previous methods.

Keywords shape from shading      SFS      image formation equation      level-set      graphs theory      3D reconstruction     
Corresponding Author(s): Lyes ABADA   
Just Accepted Date: 24 November 2015   Online First Date: 25 July 2016    Issue Date: 06 April 2017
 Cite this article:   
Lyes ABADA,Saliha AOUAT. Improved shape from shading without initial information[J]. Front. Comput. Sci., 2017, 11(2): 320-331.
 URL:  
https://academic.hep.com.cn/fcs/EN/10.1007/s11704-016-5255-6
https://academic.hep.com.cn/fcs/EN/Y2017/V11/I2/320
1 Zhu Q, Shi J. Shape from shading: Recognizing the mountains through a global view. In: Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2006, 1839–1846
2 Leng B, Xiong Z, Fu X. A 3D shape retrieval framework for 3D smart cities, Frontiers of Computer Science, 2010, 4(3): 394–404
https://doi.org/10.1007/s11704-010-0366-y
3 Bai X, Bai S, Zhu Z, LateckiL J. 3D shape matching via two layer coding. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015, 37(12): 2361–2373
https://doi.org/10.1109/TPAMI.2015.2424863
4 Zhang Z, Tan T, Huang K, Wang Y. Three-dimensional deformablemodel- based localization and recognition of road vehicles. IEEE Transactions on Image Processing, 2012, 21(1): 1–13
https://doi.org/10.1109/TIP.2011.2160954
5 Huang X Z, Sun X, Ren Z, Tong X, Guo B N, Zhou K. Irradiance regression for efficient final gathering in global illumination. Frontiers of Computer Science, 2015, 9(3): 456–465
https://doi.org/10.1007/s11704-014-4211-6
6 Horn B K P. Obtaining shape from shading information. The Psychology of Computer Vision, 1975: 115–155
7 Durou J D, Falcone M, Sagona M. Numerical methods for shape fromshading: a new survey with benchmarks. Computer Vision and Image Understanding, 2008, 109(1): 22–43
https://doi.org/10.1016/j.cviu.2007.09.003
8 Abada L, Aouat S. Shape from shading with and without boundary conditions. In: Chen L M, Kapoor S, Bhatia R, <Eds/>. Intelligent Systems for Science and Information. Springer International Publishing, 2014: 369–387
https://doi.org/10.1007/978-3-319-04702-7_21
9 Bruss A R. The eikonal equation: Some results applicable to computer vision. Journal of Mathematical Physics, 1982, 23(5): 890–896
https://doi.org/10.1063/1.525441
10 Rouy E, Tourin A. A viscosity solutions approach to shape-from shading. SIAM Journal on Numerical Analysis, 1992, 29(3): 867–884
https://doi.org/10.1137/0729053
11 Prados E, Faugeras O. Shape from shading: a well-posed problem? In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2005, 870–877
https://doi.org/10.1109/cvpr.2005.319
12 Prados E, Faugeras O. “Perspective shape from shading” and viscosity solutions. In: Proceedings of the 9th IEEE International Conference on Computer Vision. 2003, 826–831
https://doi.org/10.1109/ICCV.2003.1238433
13 Prados E, Faugeras O. A generic and provably convergent shape-fromshading method for orthographic and pinhole cameras. International Journal of Computer Vision, 2005, 65(1-2): 97–125
https://doi.org/10.1007/s11263-005-3844-1
14 Camilli F, Prados E. Shape-from-Shading with discontinuous image brightness. Applied Numerical Mathematics, 2006, 56(9): 1225–1237
https://doi.org/10.1016/j.apnum.2006.03.007
15 Ragheb H, Hancock E R. Darboux smoothing for shape-from-shading. Pattern Recognition Letters, 2003, 24(1): 579–595
https://doi.org/10.1016/S0167-8655(02)00278-7
16 Abada L, Aouat S. Solving the perspective shape from shading problem using a new integration method. In: Proceedings of Science and Information Conference. 2013, 416–422
17 Chang J Y, Lee K M, Lee S U. Shape from shading using graph cuts. Pattern Recognition, 2008, 41(12): 3749–3757
https://doi.org/10.1016/j.patcog.2008.05.020
18 Lei Y, Bo T. Perspective SFS 3-D shape reconstruction algorithm with hybrid reflectance model. In: Proceedings of the 2011 International Conference on Computer Science and Network Technology. 2011, 1764–1767
19 Xiong Y, Chakrabarti A, Basri R, Gortler S J, Jacobs D W, Zickler T. From shading to local shape. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015, 37(1): 67–79
https://doi.org/10.1109/TPAMI.2014.2343211
20 Kuroe Y, Kawakami H. Versatile neural network method for recovering shape from shading by model inclusive learning. In: Proceedings of the 2011 International Joint Conference on Neural Networks. 2011, 3194–3199
https://doi.org/10.1109/IJCNN.2011.6033644
21 Chen Z M, Cao J Z, Huang J Q. A novel 3D reconstruction algorithm based on hybrid immune particle swarm optimization. In: Proceedings of the 29th IEEE Chinese Control Conference. 2010, 5228–5231
22 Wang G, Liu S, Han J, Zhang X. A novel shape from shading algorithm for non-Lambertian surfaces. In: Proceedings of the 3rd International Conference on Measuring Technology and Mechatronics Automation. 2011, 222–225.
https://doi.org/10.1109/icmtma.2011.61
23 Oren M, Nayar S K. Generalization of the Lambertian model and implications for machine vision. International Journal of Computer Vision, 1995, 14(3): 227–251
https://doi.org/10.1007/BF01679684
24 Garro V, Giachetti A. Scale space graph representation and kernel matching for non rigid and textured 3D shape retrieval. IEEE Transactions on Pattern Analysis and Machine Intelligence, doi:10.1109/TPAMI.2015.2477823, 2015
https://doi.org/10.1109/TPAMI.2015.2477823
25 Mehrdad V, Ebrahimnezhad H. 3D object retrieval based on histogram of local orientation using one-shot score support vector machine. Frontiers of Computer Science, 2015, 9(6): 990–1005
https://doi.org/10.1007/s11704-015-4291-y
26 Guo Y, Bennamoun M, Sohel F, et al. 3D object recognition in cluttered scenes with local surface features: a survey. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2014, 36(11): 2270–2287
https://doi.org/10.1109/TPAMI.2014.2316828
27 Lee M, Choi C H. Fast facial shape recovery from a single image with general, unknown lighting by using tensor representation. Pattern Recognition, 2011, 44(7): 1487–1496
https://doi.org/10.1016/j.patcog.2010.12.018
28 Jiang D L, Hu Y X, Yan S C, Zhang L, Zhang H J, Gao W. Efficient 3D reconstruction for face recognition. Pattern Recognition, 38(6): 787–798
https://doi.org/10.1016/j.patcog.2004.11.004
29 Song Z, Chung R. Nonstructured light-based sensing for 3D reconstruction. Pattern Recognition, 2010, 43(10): 3560–3571
https://doi.org/10.1016/j.patcog.2010.05.008
30 Abada L, Aouat S. Tabusearch to solve the shape from shading ambiguity. International Journal on Artificial Intelligence Tools,
https://doi.org/10.1142/S0218213015500359
31 Guo Y W, Peng Q S, Hu G F, Wang J. Smooth feature line detection for meshes. Journal of Zhejiang University SCIENCE A, 2005, 6(5): 460–468
[1]  Supplementary Material Download
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed