2015
DOI: 10.1080/18756891.2015.1129588
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Gray Scale Edge Detection using Interval-Valued Fuzzy Relations

Abstract: Gray scale edge detection can be modeled using Fuzzy Sets and, in particular, Interval-Valued Fuzzy Sets. This work is focused on studying the performance of several Interval-Valued Fuzzy Sets construction methods for detecting edges in a gray scale image. These construction methods are based on considering information related to the neighborhood of each point. Thus, several construction methods are proposed and tested, showing the approach performing better.

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Cited by 6 publications
(3 citation statements)
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“…(3) Select adaptive threshold When there is noise in the adaptive nonlinear diffusion image, the selection of lag threshold and filter size directly affects the image edge filtering effect. The large-size filter can reduce the noise and improve the image edge shape composite filtering effect by changing the filter size [14].…”
Section: T M mentioning
confidence: 99%
“…(3) Select adaptive threshold When there is noise in the adaptive nonlinear diffusion image, the selection of lag threshold and filter size directly affects the image edge filtering effect. The large-size filter can reduce the noise and improve the image edge shape composite filtering effect by changing the filter size [14].…”
Section: T M mentioning
confidence: 99%
“…The results obtained using the new measure outperforms previous approaches. In [6] several Interval-Valued Fuzzy Sets construction methods for detecting edges in a gray scale image are proposed. These construction methods are based on considering information related to the neighborhood of each point.…”
Section: Related Workmentioning
confidence: 99%
“…Fuzzy Mathematical Morphology [5,44] is an extension of the Mathematical Morphology's binary operators to gray level images, by redefining the set operations as fuzzy set operations. In [7,8,9] we define the operators of the Fuzzy Mathematical Morphology for color images through the use of a fuzzy order. Other important works related to image processing are highlighted: In [16] information about spatial organization in an image is considered to improve object recognition and scene analysis tasks.…”
Section: Applicationsmentioning
confidence: 99%