Abstract
Shape recovery is a basic problem in computer vision. Shape from shading (SFS) is an approach to get the 3D shape from a single shading image. Diffuse model is usually used to approximate the surface reflectance property. For specular surfaces, however, it is not suitable. In this paper, we propose a new SFS approach for specular surfaces. The Blinn-Phong reflectance model is applied to characterize the specular reflection property. The image irradiance equation for specular surfaces is obtained under the assumptions that the camera performs an orthographic projection and its direction is the same as the light source. Then, it is formulated as an Eikonal PDE which includes the shape of the surfaces. The viscosity solution of the resulting PDE is approximated by using the high-order Godunov fast sweeping method. Experiments are performed on both sphere and vase images and the results show the efficiency of the proposed approach.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Horn, B.K.P., Brooks, M.J.: Shape from Shading. MIT Press, Cambridge (1989)
Zhang, R., Tsai, P.-S., Cryer, J.E., Shah, M.: Shape from Shading: A Survey. IEEE Trans. Pattern Anal. Mach. Intell. 21, 690–706 (1999)
Durou, J.-D., Falcone, M., Sagona, M.: Numerical Methods for Shape-from-shading: A New Survey with Benchmarks. Comput. Vis. Image Underst. 109, 22–43 (2008)
Horn, B.K.P., Brooks, M.J.: The Variational Approach to Shape From Shading. Comput. Vis. Graph. Image Process. 33, 174–208 (1986)
Rouy, E., Tourin, A.: A Viscosity Solutions Approach to Shape-from-shading. SIAM J. Numer. Anal. 29, 867–884 (1992)
Tsai, P.-S., Shah, M.: Shape from Shading Using Linear Approximation. Image Vis. Comput. 12, 487–498 (1994)
Lee, K.M., Kuo, C.-C.J.: Shape from Shading with Perspective Projection. Comput. Vis. Graph. Image Process. 59, 202–212 (1994)
Kimmel, R., Sethian, J.A.: Optimal Algorithm for Shape from Shading and Path Planning. J. Math. Imaging Vision 14, 237–244 (2001)
Sethian, J.A.: Fast Marching Methods. SIAM Rev. 41, 199–235 (1999)
Yuen, S.Y., Tsui, Y.Y., Leung, Y.W., Chen, R.M.M.: Fast Marching Method for Shape from Shading under Perspective Projection. In: The 2nd IASTED International Conference on Visualization, Imaging and Image Processing, pp. 584–589. Malaga, Spain (2002)
Tankus, A., Sochen, N., Yeshurun, Y.: Shape-from-Shading Under Perspective Projection. Int. J. Comput. Vis. 63, 21–43 (2005)
Prados, E., Faugeras, O.: A generic and provably convergent Shape-From-Shading Method for Orthographic and Pinhole Cameras. Int. J. Comput. Vis. 65, 97–125 (2005)
Lee, K.M., Kuo, C.-C.J.: Shape from Shading with a Generalized Reflectance Map Model. Comput. Vis. Image Underst. 67, 143–160 (1997)
Torrance, K.E., Sparrow, E.M.: Theory for Off-Specular Reflection From Roughened Surfaces. J. Opt. Soc. Am. 57, 1105–1114 (1967)
Ahmed, A.H., Farag, A.A.: Shape from Shading for Hybrid Surfaces. In: The 14th IEEE International Conference on Image Processing, vol. II, pp. 525–528. IEEE, San Antonio (2007)
Ward, G.J.: Measuring and modeling anisotropic reflection. ACM SIGGRAPH Comput. Graph. 26, 265–272 (1992)
Blinn, J.F.: Models of light reflection for computer synthesized pictures. ACM SIGGRAPH Comput. Graph. 11, 192–198 (1977)
Wang, G., Liu, S., Han, J., Zhang, X.: A Novel Shape from Shading Algorithm for Non-Lambertian Surfaces. In: The 3rd International Conference on Measuring Technology and Mechatronics Automation, vol. 1, pp. 222–225. IEEE, Shanghai (2011)
Phong, B.T.: Illumination for computer generated pictures. Comm. ACM 18, 311–317 (1975)
Zhang, Y.-T., Zhao, H.-K., Qian, J.: High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations. J. Sci. Comput. 29, 25–56 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, G., Su, W., Song, Y. (2011). A New Shape from Shading Approach for Specular Surfaces. In: Deng, H., Miao, D., Lei, J., Wang, F.L. (eds) Artificial Intelligence and Computational Intelligence. AICI 2011. Lecture Notes in Computer Science(), vol 7004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23896-3_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-23896-3_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23895-6
Online ISBN: 978-3-642-23896-3
eBook Packages: Computer ScienceComputer Science (R0)