A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU

Detecting and counting elliptical objects are an interesting problem in digital image processing. There are real-world applications of this problem in various disciplines. Solving this problem is harder when there is occlusion among the elliptical objects, since in general these objects are consider...

Full description

Bibliographic Details
Main Authors: Reyes Yam-Uicab, José López-Martínez, Erika Llanes-Castro, Lizzie Narvaez-Díaz, Joel Trejo-Sánchez
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/5714638
id doaj-58d66fcf16ab488faa7d946def9dbc77
record_format Article
spelling doaj-58d66fcf16ab488faa7d946def9dbc772020-11-24T20:48:22ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/57146385714638A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPUReyes Yam-Uicab0José López-Martínez1Erika Llanes-Castro2Lizzie Narvaez-Díaz3Joel Trejo-Sánchez4Facultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, YUC, MexicoFacultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, YUC, MexicoFacultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, YUC, MexicoFacultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, YUC, MexicoCentro de Investigación en Matemáticas, Conacyt, Mérida, YUC, MexicoDetecting and counting elliptical objects are an interesting problem in digital image processing. There are real-world applications of this problem in various disciplines. Solving this problem is harder when there is occlusion among the elliptical objects, since in general these objects are considered as part of the bigger object (conglomerate). The solution to this problem focusses on the detection and segmentation of the precise number of occluded elliptical objects, while omitting all noninteresting objects. There are a variety of computational approximations that focus on this problem; however, such approximations are not accurate when there is occlusion. This paper presents an algorithm designed to solve this problem, specifically, to detect, segment, and count elliptical objects of a specific size when these are in occlusion with other objects within the conglomerate. Our algorithm deals with a time-consuming combinatorial process. To optimize the execution time of our algorithm, we implemented a parallel GPU version with CUDA-C, which experimentally improved the detection of occluded objects, as well as lowering processing times compared to the sequential version of the method. Comparative test results with another method featured in literature showed improved detection of objects in occlusion when using the proposed parallel method.http://dx.doi.org/10.1155/2018/5714638
collection DOAJ
language English
format Article
sources DOAJ
author Reyes Yam-Uicab
José López-Martínez
Erika Llanes-Castro
Lizzie Narvaez-Díaz
Joel Trejo-Sánchez
spellingShingle Reyes Yam-Uicab
José López-Martínez
Erika Llanes-Castro
Lizzie Narvaez-Díaz
Joel Trejo-Sánchez
A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
Mathematical Problems in Engineering
author_facet Reyes Yam-Uicab
José López-Martínez
Erika Llanes-Castro
Lizzie Narvaez-Díaz
Joel Trejo-Sánchez
author_sort Reyes Yam-Uicab
title A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
title_short A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
title_full A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
title_fullStr A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
title_full_unstemmed A Parallel Algorithm for the Counting of Ellipses Present in Conglomerates Using GPU
title_sort parallel algorithm for the counting of ellipses present in conglomerates using gpu
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description Detecting and counting elliptical objects are an interesting problem in digital image processing. There are real-world applications of this problem in various disciplines. Solving this problem is harder when there is occlusion among the elliptical objects, since in general these objects are considered as part of the bigger object (conglomerate). The solution to this problem focusses on the detection and segmentation of the precise number of occluded elliptical objects, while omitting all noninteresting objects. There are a variety of computational approximations that focus on this problem; however, such approximations are not accurate when there is occlusion. This paper presents an algorithm designed to solve this problem, specifically, to detect, segment, and count elliptical objects of a specific size when these are in occlusion with other objects within the conglomerate. Our algorithm deals with a time-consuming combinatorial process. To optimize the execution time of our algorithm, we implemented a parallel GPU version with CUDA-C, which experimentally improved the detection of occluded objects, as well as lowering processing times compared to the sequential version of the method. Comparative test results with another method featured in literature showed improved detection of objects in occlusion when using the proposed parallel method.
url http://dx.doi.org/10.1155/2018/5714638
work_keys_str_mv AT reyesyamuicab aparallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT joselopezmartinez aparallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT erikallanescastro aparallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT lizzienarvaezdiaz aparallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT joeltrejosanchez aparallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT reyesyamuicab parallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT joselopezmartinez parallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT erikallanescastro parallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT lizzienarvaezdiaz parallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
AT joeltrejosanchez parallelalgorithmforthecountingofellipsespresentinconglomeratesusinggpu
_version_ 1716807945002418176