Wasserstein regularization of imaging problem

Proceedings - International Conference on Image Processing, ICIP

Volumn , Issue , 2011, Pages 1541-1544

  Rabin, Julien ^a   Peyré, Gabriel ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

color and contrast modification; Energy minimization; Gradient descent; Image regularization; Variational model

Indexed keywords

COLOR SPECIFICATIONS; COLOR STATISTICS; COMPUTATION TIME; ENERGY MINIMIZATION; GENERIC FRAMEWORKS; GRADIENT DESCENT; IMAGE REGULARIZATION; IMAGING PROBLEMS; MINIMIZATION PROBLEMS; OPTIMAL MASS TRANSPORT; PENALTY TERM; POINT CLOUD; STATISTICAL CONSTRAINTS; TEXTURE SYNTHESIS; VARIATIONAL FORMULATION; VARIATIONAL MODELS; VARIATIONAL PROBLEMS; WASSERSTEIN DISTANCE;

COLOR; IMAGE PROCESSING;

MEDICAL IMAGING;

EID: 84856298386     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2011.6115740     Document Type: Conference Paper

References (14)

1. C. Villani, Topics in optimal transportation, American Math. Soc., 2003.
2. J. Morovic and P.L. Sun, "Accurate 3d image colour histogram transformation,"vol. 24, no. 11, pp. 1725-1735, July 2003.
3. A.J. McCollum and W.F. Clocksin, "Multidimensional histogram equalization and modification," Image Analysis and Processing, International Conference on, vol. 0, pp. 659-664, 2007.
4. F. Pitié, A. C. Kokaram, and R. Dahyot, "Automated colour grading using colour distribution transfer," Comput. Vis. Image Underst., vol. 107, pp. 123-137, 2007. (Pubitemid 46829953)
5. F. Pitié and A. Kokaram, "The Linear Monge-Kantorovitch Colour Mapping for Example-Based Colour Transfer," in Proc. of CVMP'06.
6. J. Rabin, J. Delon, and Y. Gousseau, "Regularization of Transportation Maps for Color and Contrast Transfer," in Proc. of the IEEE Int. Conf. on Image Processing (ICIP), 2010.
7. C. Ballester, V. Caselles, L. Igual, J. Verdera, and B. Rougé, "A variational model for p+xs image fusion," Int. J. Comput. Vision, vol. 69, no. 1, pp. 43-58, 2006. (Pubitemid 43787400)
8. M. Bertalmío, V. Caselles, E. Provenzi, and A. Rizzi, "Perceptual color correction through variational techniques," IEEE Transactions on Image Processing, vol. 16, no. 4, pp. 1058-1072, 2007. (Pubitemid 46542393)
9. N. Papadakis, E. Provenzi, and V. Caselles, "A variational model for histogram transfer of color images," IEEE Transaction on Image Processing, vol. 19, no. 12, November 2010.
10. R. Burkard, M. Dell'Amico, and S. Martello, Assignment Problems, SIAM, 2009.
11. J. Rabin, G. Peyré, J. Delon, and M. Bernot, "Wasserstein Barycenter and its Application to Texture Mixing," in Proc. of the Int. Conf. on Scale Space and Variational Methods in Computer Vision, 2011.
12. J. Rabin, G. Peyré, and L. D. Cohen, "Geodesic Shape Retrieval via Optimal Mass Transport," in Proc. of the European Conference on Computer Vision, 2010.
13. L.I. Rudin, S.J. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," vol. 60, pp. 259-268, 1992.
14. Antonin Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imaging Vis., vol. 20, pp. 89-97, January 2004.