Skip to main content

Shape from Texture and Shading with Wavelets

  • Conference paper
Dynamical Systems, Control, Coding, Computer Vision

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 25))

Abstract

The observation of a photograph or a painting demonstrates our ability to recover a three-dimensional shape from a single image. Shape cues are provided by a combination of various types of information, including shading variations, effects of perspective and texture gradients. The goal pursued here is to answer the question: given the image of a textured surface, how is it possible to retrieve the surface depth ? Recent references to the shape from texture problem can be found in [2, 3, 8, 10, 13, 17, 18], and the shape from shading problem has been studied in [7, 12, 14, 15, 16].

Supported in part by MURI grant F49620-96-1-0028.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barles, G., Souganidis, P.E. (1991). Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis 4, pp. 271–283.

    MathSciNet  MATH  Google Scholar 

  2. Blake, A. and Marinos, C. (1990). Shape from texture: estimation, isotropy and moments. Artificial Intelligence 45, pp. 323–380.

    Article  Google Scholar 

  3. Biostein, D. and Ahuja, N. (1990). Shape from texture: integrating texture-element extraction and surface estimation. IEEE Trans. Patt. Anal, and Mach. Intell. 11-12, pp. 1233–1251.

    Google Scholar 

  4. Bovik, A. Gopal, N., Emmoth, T. and Restrepo, A. (1992). Localized Measurement of Emergent Image Frequencies by Gabor Wavelets. IEEE Trans. Info. Theory 38-2, pp. 691–712.

    Article  Google Scholar 

  5. Brockwell, P. and Davis, R. (1991). Time Series: Theory and Methods. Springer-Verlag.

    Book  Google Scholar 

  6. Clerc, M., Mallat, S. (1998). Shape from Texture and Shading with Wavelets, Technical Report, CERMICS, Ecole Nationale des Ponts et Chaussées.

    Google Scholar 

  7. Dupuis, O. and Oliensis, J. (1992). Direct Method for Reconstructing Shape from Shading, in Proc. IEEE Comp. Vis. Pattern Recog. Conf.

    Google Scholar 

  8. Gàrding, J. (1992). Shape from Texture for Smooth Surfaces under Perspective Projection. Journal of Mathematical Imaging and Vision 2, pp. 327–350.

    Article  MATH  Google Scholar 

  9. Horn, B.K.P. (1986). Robot vision. The MIT Press, McGraw-Hill Book Company.

    Google Scholar 

  10. Kanatani, K. and Chou, T. (1989). Shape from Texture: General Principle. Artificial Intelligence 38, pp. 1–48.

    Article  MathSciNet  MATH  Google Scholar 

  11. Lions, P.L. (1982). Generalized Solutions of Hamilton-Jacobi Equations. Pitman, London.

    MATH  Google Scholar 

  12. Lions, P.L., Rouy, E., Tourin, A. (1993). Shape-from-shading, viscosity solutions and edges. Numerische Mathematik 64, pp. 323–353.

    Article  MathSciNet  MATH  Google Scholar 

  13. Malik, J. and Rosenholtz, R. (1997). Computing Local Surface Orientation and Shape From Texture for Curved Surfaces. Int. J. of Computer Vision 23-2, pp. 149–168.

    Article  Google Scholar 

  14. Pentland, A. (1990). Linear Shape Prom Shading. Int. J. of Computer Vision 4, pp. 153–162.

    Article  Google Scholar 

  15. Rouy, E. and Tourin, A. (1992). A Viscosity Solutions Approach to Shape-from-Shading. SIAM J. Numer. Anal. 29-2, pp. 867–884.

    Article  MathSciNet  Google Scholar 

  16. Shah, J., Pien, H.H., and Gauch, J.M. (1996). Recovery of Surfaces with Discontinuities by Fusing Shading and Range Data Within a Variational Framework. IEEE Trans. Image Processing 5-8, pp. 1243–1251.

    Article  Google Scholar 

  17. Super, B. and Bovik, A. (1995). Shape from Texture Using Local Spectral Moments. IEEE Trans. Patt. Anal, and Mach. Intell. 17–4, pp. 333–343.

    Article  Google Scholar 

  18. Witkin, A. (1981) Recovering surface shape and orientation from texture. Artificial Intelligence 17, pp. 17–45.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Birkhäuser Verlag Basel/Switzerland

About this paper

Cite this paper

Clerc, M., Mallat, S. (1999). Shape from Texture and Shading with Wavelets. In: Picci, G., Gilliam, D.S. (eds) Dynamical Systems, Control, Coding, Computer Vision. Progress in Systems and Control Theory, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8970-4_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8970-4_19

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9848-5

  • Online ISBN: 978-3-0348-8970-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics