Fuzzy Index to Evaluate Edge Detection in Digital Images.

In literature, we can find different metrics to evaluate the detected edges in digital images, like Pratt's figure of merit (FOM), Jaccard's index (JI) and Dice's coefficient (DC). These metrics compare two images, the first one is the reference edges image, and the second one is the...

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Main Authors: Felicitas Perez-Ornelas, Olivia Mendoza, Patricia Melin, Juan R Castro, Antonio Rodriguez-Diaz, Oscar Castillo
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4483257?pdf=render
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author Felicitas Perez-Ornelas
Olivia Mendoza
Patricia Melin
Juan R Castro
Antonio Rodriguez-Diaz
Oscar Castillo
author_facet Felicitas Perez-Ornelas
Olivia Mendoza
Patricia Melin
Juan R Castro
Antonio Rodriguez-Diaz
Oscar Castillo
author_sort Felicitas Perez-Ornelas
collection DOAJ
description In literature, we can find different metrics to evaluate the detected edges in digital images, like Pratt's figure of merit (FOM), Jaccard's index (JI) and Dice's coefficient (DC). These metrics compare two images, the first one is the reference edges image, and the second one is the detected edges image. It is important to mention that all existing metrics must binarize images before their evaluation. Binarization step causes information to be lost because an incomplete image is being evaluated. In this paper, we propose a fuzzy index (FI) for edge evaluation that does not use a binarization step. In order to process all detected edges, images are represented in their fuzzy form and all calculations are made with fuzzy sets operators and fuzzy Euclidean distance between both images. Our proposed index is compared to the most used metrics using synthetic images, with good results.
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spelling doaj.art-ff804af091a04b6695977b2169cbfb402022-12-21T18:21:18ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01106e013116110.1371/journal.pone.0131161Fuzzy Index to Evaluate Edge Detection in Digital Images.Felicitas Perez-OrnelasOlivia MendozaPatricia MelinJuan R CastroAntonio Rodriguez-DiazOscar CastilloIn literature, we can find different metrics to evaluate the detected edges in digital images, like Pratt's figure of merit (FOM), Jaccard's index (JI) and Dice's coefficient (DC). These metrics compare two images, the first one is the reference edges image, and the second one is the detected edges image. It is important to mention that all existing metrics must binarize images before their evaluation. Binarization step causes information to be lost because an incomplete image is being evaluated. In this paper, we propose a fuzzy index (FI) for edge evaluation that does not use a binarization step. In order to process all detected edges, images are represented in their fuzzy form and all calculations are made with fuzzy sets operators and fuzzy Euclidean distance between both images. Our proposed index is compared to the most used metrics using synthetic images, with good results.http://europepmc.org/articles/PMC4483257?pdf=render
spellingShingle Felicitas Perez-Ornelas
Olivia Mendoza
Patricia Melin
Juan R Castro
Antonio Rodriguez-Diaz
Oscar Castillo
Fuzzy Index to Evaluate Edge Detection in Digital Images.
PLoS ONE
title Fuzzy Index to Evaluate Edge Detection in Digital Images.
title_full Fuzzy Index to Evaluate Edge Detection in Digital Images.
title_fullStr Fuzzy Index to Evaluate Edge Detection in Digital Images.
title_full_unstemmed Fuzzy Index to Evaluate Edge Detection in Digital Images.
title_short Fuzzy Index to Evaluate Edge Detection in Digital Images.
title_sort fuzzy index to evaluate edge detection in digital images
url http://europepmc.org/articles/PMC4483257?pdf=render
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