Date
2011
Dewey
Traitement du signal
Sujet
color and contrast modification; Gradient descent; Image regularization; Energy minimization; Variational model
Conference name
ICIP 2011 : 2011 IEEE International Conference on Image Processing
Conference date
09-2011
Conference city
Bruxelles
Conference country
Belgique
Book title
18th IEEE International Conference on Image Processing (ICIP), 2011 - Proceedings
Publisher
IEEE
Year
2011
ISBN
978-1-4577-1304-0
Author
Peyré, Gabriel
Rabin, Julien
Type
Communication / Conférence
Item number of pages
1541-1544
Abstract (EN)
This paper introduces a novel and generic framework embedding statistical constraints for variational problems. We resort to the theory of Monge-Kantorovich optimal mass transport to define penalty terms depending on statistics from images. To cope with the computation time issue of the corresponding Wasserstein distances involved in this approach, we propose an approximate variational formulation for statistics represented as point clouds. We illustrate this framework on the problem of regularized color specification. This is achieved by combining the proposed approximate Wasserstein constraint on color statistics with a generic geometric-based regularization term in a unified variational minimization problem. We believe that this methodology may lead to some other interesting applications in image processing, such as medical imaging modification, texture synthesis, etc.