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.
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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
Leng B, Xiong Z, Fu X. A 3D shape retrieval framework for 3D smart cities, Frontiers of Computer Science, 2010, 4(3): 394–404
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
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
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
Horn B K P. Obtaining shape from shading information. The Psychology of Computer Vision, 1975: 115–155
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
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
Bruss A R. The eikonal equation: Some results applicable to computer vision. Journal of Mathematical Physics, 1982, 23(5): 890–896
Rouy E, Tourin A. A viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis, 1992, 29(3): 867–884
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
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
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
Camilli F, Prados E. Shape-from-Shading with discontinuous image brightness. Applied Numerical Mathematics, 2006, 56(9): 1225–1237
Ragheb H, Hancock E R. Darboux smoothing for shape-from-shading. Pattern Recognition Letters, 2003, 24(1): 579–595
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
Chang J Y, Lee K M, Lee S U. Shape from shading using graph cuts. Pattern Recognition, 2008, 41(12): 3749–3757
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
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
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
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
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.
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
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
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
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
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
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
Song Z, Chung R. Nonstructured light-based sensing for 3D reconstruction. Pattern Recognition, 2010, 43(10): 3560–3571
Abada L, Aouat S. Tabusearch to solve the shape from shading ambiguity. International Journal on Artificial Intelligence Tools, doi: 10.1142/S0218213015500359, 2015
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
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Lyes Abada is a PhD student at University of Sciences and Technology Houari Boumediene (USTHB), Algeria. He received his master degree in computer science option artificial intelligence from USTHB in 2011. His master thesis was focused on geographic databases multi-scale. His PhD dissertation topic is the shape from shading.
Saliha Aouat received the PhD in Department of Computer Science at University of Sciences and Technology Houari Boumediene (USTHB), Algeria in 2009. She is currently an associate professor at the USTHB. She is an author of numerous publications for conferences, proceedings, and journals. Her research interests include computer vision, image and texture analysis, 3D vision, content based image indexing and retrieval, and pattern recognition.
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Abada, L., Aouat, S. Improved shape from shading without initial information. Front. Comput. Sci. 11, 320–331 (2017). https://doi.org/10.1007/s11704-016-5255-6
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DOI: https://doi.org/10.1007/s11704-016-5255-6