Skip to main content

Gradient Based Image Completion by Solving Poisson Equation

  • Conference paper
Advances in Multimedia Information Processing - PCM 2005 (PCM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3767))

Included in the following conference series:

Abstract

Image completion is a method to fill the missing portions of an image caused by the removal of one or more foreground or background elements. In this paper a novel image completion algorithm is proposed for removing significant objects from natural images or photographs. The completion is realized in the following three steps. First, a gradient-based model is presented to determine the gradient-patch filling order. This step is critical because a better filling order can improve the continuation of image structures. Second, we implement the gradient-patch update strategy by measuring the exponential distance between the source patch and the target one in gradient domain. In order to find a better patch matching and propagating algorithm, we incorporate the gradient and color information together to determine the target patch. Third, a complete image is achieved by solving the Poisson equation with the updated image gradient map. Some experimental results on real-scene photographs are given to demonstrate both the efficiency and image equality of our novel method.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Agarwala, A., Dontcheva, M., Agarwala, M., Drucker, S., Colburn, A., Curless, B., Salesin, D., Cohen, M.: Interactive digital photomontage. In: Proceedings of ACM SIGGRAPH, pp. 294–302. ACM Press, New York (2004)

    Google Scholar 

  2. Levin, A., Zomet, A., Weiss, Y.: Learning how to inpaint from global image statistics. In: ICCV, pp. 305–361 (2003)

    Google Scholar 

  3. Bornard, R., Lecan, E., Laborelli, L., Chenot, J.H.: Missing data correction in still images and image sequences. In: ACM Multimedia, France, pp. 355–361 (2002)

    Google Scholar 

  4. Bertalmio, M., Sapiro, G., Caselles, V., Ballester, C.: Image inpainting. In: Proceedings of ACM SIGGRAPH, pp. 417–424. ACM Press, New York (2000)

    Google Scholar 

  5. Criminisi, A., Perez, P., Toyama, K.: Object removal by exemplar-based inpainting. IEEE Transactions on Image Processing, 1200–1212 (2004)

    Google Scholar 

  6. Drori, I., Cohen-Or, D., Yeshurun, H.: Fragment-based image completion. In: Proceedings of ACM SIGGRAPH, pp. 303–312. ACM Press, New York (2003)

    Google Scholar 

  7. Fatal, R., Lischinski, D., Werman, M.: Gradient domain high dynamic range compression. In: Proceedings of ACM SIGGRAPH, pp. 249–256 (2002)

    Google Scholar 

  8. Harrison, P.: A non-hierarchical procedure for re-synthesis of complex texture. In: WSCG, pp. 190–197. Czech Republic (2001)

    Google Scholar 

  9. Jia, J., Tang, C.K.: Image repairing: Robust image synthesis by adaptive tensor voting. In: CVPR, Madison, WI, pp. 643–650 (2003)

    Google Scholar 

  10. Press, W., Teukolsky, S., Vetterling, W., Flannery, B.: Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, Cambridge (1992)

    Google Scholar 

  11. Perez, P., Gangnet, M., Blake, A.: Poisson image editing. In: Proceedings of ACM SIGGRAPH, pp. 313–318. ACM Press, New York (2003)

    Google Scholar 

  12. Raskar, R., Tan, K., Feris, R., Yu, J., Turk, M.: Non-photorealistic camera: depth edge detection and stylized rendering using multi-flash imaging. In: Proceedings of ACM SIGGRAPH, pp. 679–688. ACM Press, New York (2004)

    Google Scholar 

  13. Raskar, R., Ilie, A., Yu, J.: Image fusion for context enhancement and video surrealism. In: NPAR, pp. 85–95 (2004)

    Google Scholar 

  14. Sun, J., Jia, J., Tang, C.K., Shum, H.Y.: Poisson matting. In: Proceedings of ACM SIGGRAPH, pp. 315–321. ACM Press, New York (2004)

    Google Scholar 

  15. Wexler, Y., Shechtman, E., Irani, M.: Space-Time Video Completion. In: CVPR, Washington, D.C., USA, pp. 120–127 (2004)

    Google Scholar 

  16. Zhang, Y.J., Xiao, J.J., Shah, M.: Region Completion in a Single Image. In: EUROGRAPHICS, Grenoble, France, Short Presentations (2004)

    Google Scholar 

  17. Zhang, Y.J., Xiao, J.J., Shah, M.: Motion Layer Based Object Removal in Videos. In: WACV, pp. 516–521 (2005)

    Google Scholar 

  18. Agrawal, A., Raskar, R., Nayar, S., Li, Y.: Removing Flash Artifacts using Gradient Analysis. In: Proceedings of ACM SIGGRAPH. ACM Press, New York (2005) (to appear)

    Google Scholar 

  19. Sun, J., Yuan, L., Jia, J., Shum, H.Y.: Image Completion with Structure Propagation. In: Proceedings of ACM SIGGRAPH. ACM Press, New York (2005) (to appear)

    Google Scholar 

  20. Sharf, A., Alexa, M., Cohen-Or, D.: Context-based surface completion. In: Proceedings of ACM SIGGRAPH, pp. 878–887. ACM Press, New York (2004)

    Google Scholar 

  21. Kasson, J.M., Plouffe, W.: An analysis of selected computer interchange color spaces. In: Proceedings of ACM SIGGRAPH, pp. 373–405. ACM Press, New York (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Shen, J., Jin, X., Zhou, C. (2005). Gradient Based Image Completion by Solving Poisson Equation. In: Ho, YS., Kim, H.J. (eds) Advances in Multimedia Information Processing - PCM 2005. PCM 2005. Lecture Notes in Computer Science, vol 3767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11581772_23

Download citation

  • DOI: https://doi.org/10.1007/11581772_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30027-4

  • Online ISBN: 978-3-540-32130-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics