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Shape from Texture of Developable Surfaces Via Fourier Analysis

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Advances in Visual Computing (ISVC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4841))

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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.

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George Bebis Richard Boyle Bahram Parvin Darko Koracin Nikos Paragios Syeda-Mahmood Tanveer Tao Ju Zicheng Liu Sabine Coquillart Carolina Cruz-Neira Torsten Müller Tom Malzbender

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© 2007 Springer-Verlag Berlin Heidelberg

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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

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  • 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)

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