Título:
|
Harmonic flow for histogram matching
|
Autor/a:
|
Batard, Thomas
|
Otros autores:
|
Bertalmío, Marcelo |
Abstract:
|
Comunicació presentada a: 6th Pacific-Rim Symposium on Image and Video Technology Workshop, celebrat del 28-29 d'octubre de 2013 a Guanajuato, Mèxic. |
Abstract:
|
We present a method to perform histogram matching be-
tween two color images based on the concept of harmonic mapping be-
tween Riemannian manifolds. The key idea is to associate the histogram
of a color image to a Riemannian manifold. In this context, the energy of
the matching between the two images is measured by the Dirichlet energy
of the mapping between the Riemannian manifolds. Then, we assimilate
optimal matchings to critical points of the Dirichlet energy. Such points
are called harmonic maps. As there is no explicit expression for harmonic
maps in general, we use a gradient descent
ow with boundary condition
to reach them, that we call harmonic
ow. We present an application to
color transfer, however many others applications can be envisaged using
this general framework. |
Abstract:
|
This work was supported by European Research Council, Starting Grant ref. 306337.
The second author acknowledges partial support by Spanish grants AACC, ref.
TIN2011-15954-E, and Plan Nacional, ref. TIN2012-38112. |
Materia(s):
|
-Histogram matching -Variational method -Riemannian geometry -Dirichlet energy -Color transfer |
Derechos:
|
© Springer The final publication is available at Springer via
http://dx.doi.org/10.1007/978-3-642-53926-8_14 |
Tipo de documento:
|
Objeto de conferencia Artículo - Versión aceptada |
Editor:
|
Springer
|
Compartir:
|
|