Abstract
Shape from texture has received much attention in the past few decades. We propose a computationally efficient method to extract the 3D shape of developable surfaces from the spectral variations of a visual texture. Under the assumption of homogeneity, the texture is represented by the novel method of identifying ridges of its Fourier transform. Local spatial frequencies are then computed using a minimal set of selected Gabor filters. In both orthographic and perspective projection cases, new geometric equations are presented to compute the shape of developable surfaces from frequencies. The results are validated with semi-synthetic and real pictures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Gibson, J.J.: The Perception of the Visual World. Houghton Mifflin, Boston, Massachusetts (1950)
Gårding, J.: Shape from texture for smooth curved surfaces in perspective projection. JMIV 2, 327–350 (1992)
Hwang, W.L., Lu, C.S., Chung, P.C.: Shape from texture: Estimation of planar surface orientation through the ridge surfaces of continuous wavelet transform. IEEE Trans. Image Processing 7, 773–780 (1998)
Kanatani, K., Chou, T.C.: Shape from texture: general principle. Artificial Intelligence 38, 1–48 (1989)
Malik, J., Rosenholtz, R.: Computing local surface orientation and shape from texture for curved surfaces. IJCV 23, 149–168 (1997)
Super, B.J., Bovik, A.C.: Shape from texture using local spectral moments. IEEE Trans. Patt. Anal. Mach. Intell. 17, 333–343 (1995)
Clerc, M., Mallat, S.: Shape from texture through deformations. Int. Conf. Comp. Vision, 405–410 (1999)
Loh, A.M., Hartley, R.: Shape from non-homogeneous, non-stationary, anisotropic, perspective texture. In: BMVC, pp. 69–78 (2005)
Witkin, A.P.: Recovering surface shape and orientation from texture. Artificial Intelligence 17, 17–45 (1981)
Lobay, A., Forsyth, D.A.: Shape from texture without boundaries. IJCV 67, 71–91 (2006)
Clerc, M., Mallat, S.: The texture gradient equation for recovering shape from texture. IEEE Trans. Patt. Anal. Mach. Intell. 24, 536–549 (2002)
Super, B.J., Bovik, A.C.: Planar surface orientation from texture spatial frequencies. Pattern Recognition 28, 729–743 (1995)
Loh, A.M., Kovesi, P.: Shape from texture without estimating transformations. Technical report, UWA-CSSE-05-001 (2005)
Bovik, A.C., Havlicek, J.P., Desai, M.D.: Theorems for discrete filtered modulated signals. In: ICASSP, Minneapolis, MN, pp. 805–810 (1993)
Brodatz, P.: Textures: A Photographic Album for Artists and Designers. Dover, New York (1966)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Galasso, F., Lasenby, J. (2007). Shape from Texture of Developable Surfaces Via Fourier Analysis. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2007. Lecture Notes in Computer Science, vol 4841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76858-6_68
Download citation
DOI: https://doi.org/10.1007/978-3-540-76858-6_68
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76857-9
Online ISBN: 978-3-540-76858-6
eBook Packages: Computer ScienceComputer Science (R0)