Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images

Stereo matching problem attempts to find corresponding locations between pairs of displaced images of the same scene. Correspondence estimation between pixels suffers from occlusions, noise, and bias. This paper introduces a novel approach to represent images by means of interval-valued fuzzy sets....

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Bibliographic Details
Published in:IEEE transactions on image processing 2011-07, Vol.20 (7), p.1949-1961
Main Authors: Galar, M, Fernandez, J, Beliakov, G, Bustince, H
Format: Article
Language:English
Subjects:
Analogies
Applied sciences
Color
Exact sciences and technology
Fuzzy set theory
Fuzzy sets
Image color analysis
Image processing
Image segmentation
Information, signal and communications theory
interval-valued fuzzy set
interval-valued similarity
Luminance
Matching
Noise
Pixel
Pixels
Representations
Signal processing
stereo matching problem
Studies
Telecommunications and information theory
Uncertainty
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Summary:Stereo matching problem attempts to find corresponding locations between pairs of displaced images of the same scene. Correspondence estimation between pixels suffers from occlusions, noise, and bias. This paper introduces a novel approach to represent images by means of interval-valued fuzzy sets. These sets allow one to overcome the uncertainty due to the aforementioned problems. The aim is to take advantage of the new representation to develop a stereo matching algorithm. The interval-valued fuzzification process for images that is proposed here is based on image segmentation. Interval-valued fuzzy similarities are introduced to compare windows whose pixels are represented by intervals. To make use of color information, the similarities of the RGB channels were aggregated using the luminance formula. The experimental analysis makes a comparison with other methods. The new representation that is proposed together with the new similarity measure show a better overall behavior, providing more accurate correspondences, mainly near depth discontinuities and for images with a large amount of color.
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2011.2107525