Quaternion Potential Functions for a Colour Image Completion
Method Using Markov Random Fields
Authors: Huy Tho Ho and Roland Göcke
Presented by Huy Tho Ho at Digital Image Computing: Techniques
and Applications (DICTA 2007), Adelaide, Australia, 3-5 December
2007.
Abstract
An exemplar-based algorithm has been proposed recently to solve the
image completion problem by using a discrete global optimisation
strategy based on Markov Random Fields. We can apply this algorithm
to the task of completing colour images by processing the three colour
channels separately and combining the results. However, this
approach does not capture the correlations across the colour layers
and, thus, may miss out on information important to the completion
process. In this paper, we introduce the use of quaternions or
hypercomplex numbers in estimating the potential functions for the
image completion algorithm. The potential functions are calculated
by correlating quaternion image patches based on the recently
developed concepts of quaternion Fourier transform and quaternion
correlation. Experimental results are presented for image completion
which evidence improvements of the proposed approach over the
monochromatic model.
AUTHOR = {H.T. Ho and R. Goecke},
TITLE = {{Quaternion Potential Functions for a Colour Image Completion Method Using Markov Random Fields}},
BOOKTITLE = {{Proceedings of Digital Image Computing: Techniques and Applications DICTA 2007}},
PUBLISHER = {IEEE},
ADDRESS = {Adelaide, Australia},
PAGES = {324--331},
MONTH = dec,
YEAR = 2007}