Abstract
Restoring damaged images is an important problem in image processing and has been studied for applications such as inpainting missing regions, art restoration. In this work, we consider a modified (fuzzy transform) F-transform for restoration of damages such as holes, scratches. By utilizing weights calculated from known image regions using local variance from patches, we modify the classical F-transform to handle the missing regions effectively with edge preservation and local smoothness. Comparison with interpolation - nearest neighbor, bilinear and modern inpainting - Navier - Stokes, fast-marching methods illustrate that by using our proposed modified F-transform we obtain better results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
References
Bertalmio, M., Sapiro, G., Caselles, V., Ballester, C.: Image inpainting. In: Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques, pp. 417–424. ACM Press/Addison-Wesley Publishing Co. (2000)
Bertalmio, M., Bertozzi, A.L., Sapiro, G.: Navier-stokes, fluid dynamics, and image and video inpainting. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR). 1, 355–362 (2001)
Prasath, V.B.S., Moreno, J.C.: Feature preserving anisotropic diffusion for image restoration. In: Fourth National Conference on Computer Vision, Pattern Recognition, Image Processing and Graphics (NCVPRIPG 2013), India, pp. 1–4, December 2013
Sapiro, G.: Inpainting the colors. In: IEEE International Conference on Image Processing (ICIP), vol. II, pp. 698–701, September 2005
Criminisi, A., Pérez, P., Toyama, K.: Region filling and object removal by exemplar-based image inpainting. IEEE Trans. Image Process. 13(9), 1200–1212 (2004)
Telea, A.: An image inpainting technique based on the fast marching method. J. Graph. Tools 9(1), 23–34 (2004)
Sethian, J.A.: Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Sciences. Cambridge University Press, Cambridge (1996)
Prasath, V.B.S., Singh, A.: Well-posed inhomogeneous nonlinear diffusion scheme for digital image denoising. J. Appl. Math. 2010, p. 14 Article ID 763847 (2010)
Prasath, V.B.S., Singh, A.: An adaptive anisotropic diffusion scheme for image restoration and selective smoothing. Int. J. Image Graph. 12(1), 18 (2012)
Prasath, V.B.S., Vorotnikov, D.: Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration. Nonlinear Anal. Real World Appl. 17, 33–46 (2013)
Aubert, G., Kornprobst, P.: Mathematical Problems in Image Processing: Partial Differential Equation and Calculus of Variations. Springer, New York (2006)
Perfilieva, I.: Fuzzy transforms: theory and applications. Fuzzy Sets Syst. 157, 993–1023 (2006)
Perfilieva, I., Vlasanek, P.: Image reconstruction by means of F-transform. Knowledge-Based Systems, pp. 9 (2014, in press)
Prasath, V.B.S.: A well-posed multiscale regularization scheme for digital image denoising. Int. J. Appl. Math. Comput. Sci. 21(4), 769–777 (2011)
Buades, A., Coll, B., Morel, J.M.: A review of image denoising methods, with a new one. Multiscale Model. Simul. 4(2), 490–530 (2006)
Prasath, V.B.S., Singh, A.: Multispectral image denoising by well-posed anisotropic diffusion scheme with channel coupling. Int. J. Remote Sens. 31(8), 2091–2099 (2010)
Prasath, V.B.S.: Color image segmentation based on vectorial multiscale diffusion with inter-scale linking. In: Chaudhury, S., Mitra, S., Murthy, C.A., Sastry, P.S., Pal, S.K. (eds.) PReMI 2009. LNCS, vol. 5909, pp. 339–344. Springer, Heidelberg (2009)
Prasath, V.B.S., Palaniappan, K., Seetharaman, G.: Multichannel texture image segmentation using weighted feature fitting based variational active contours. In: Eighth Indian Conference on Vision, Graphics and Image Processing (ICVGIP), Mumbai, Indi, p. 6, December 2012
Prasath, V.B.S., Moreno, J.C., Palaniappan, K.: Color image denoising by chromatic edges based vector valued diffusion. Technical report. ArXiv (2013)
Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)
Acknowledgments
This work was done while the first author was visiting Institute for Pure and Applied Mathematics (IPAM), University of California Los Angeles (UCLA), USA. The first author thanks the IPAM institute for their great hospitality and support during the visit.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Prasath, V.B.S., Delhibabu, R. (2015). Image Inpainting with Modified F-Transform. In: Panigrahi, B., Suganthan, P., Das, S. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2014. Lecture Notes in Computer Science(), vol 8947. Springer, Cham. https://doi.org/10.1007/978-3-319-20294-5_73
Download citation
DOI: https://doi.org/10.1007/978-3-319-20294-5_73
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20293-8
Online ISBN: 978-3-319-20294-5
eBook Packages: Computer ScienceComputer Science (R0)