NDLI: Quaternion Potential Functions for a Colour Image Completion Method Using Markov Random Fields

Content Provider	IEEE Xplore Digital Library
Author	Ho, Huy Tho Goecke, Roland
Copyright Year	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.
Starting Page	324
Ending Page	331
File Size	470839
Page Count	8
File Format	PDF
ISBN	0769530672
DOI	10.1109/DICTA.2007.4426814
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-03
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fourier transforms Quaternions Digital images Image processing Lattices Optimization methods Color Computer applications Australia Markov random fields
Content Type	Text
Resource Type	Article

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