First- and Second-Order Full-Differential in Edge Analysis of Images
Two concepts of first- and second-order differential of images are presented to deal with the changes of pixels. These are the basic ideas in mathematics. We propose and reformulate them with a uniform definition framework. Based on our observation and analysis with the difference, we propose an alg...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/121928 |
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| _version_ | 1850214377400041472 |
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| author | Dong-Mei Pu Yu-Bo Yuan |
| author_facet | Dong-Mei Pu Yu-Bo Yuan |
| author_sort | Dong-Mei Pu |
| collection | DOAJ |
| description | Two concepts of first- and second-order differential of images are presented to deal with the changes of pixels. These are the basic ideas in
mathematics. We propose and reformulate them with a uniform definition framework. Based on our observation and analysis with the difference, we propose an algorithm to detect the edge from image. Experiments on Corel5K and PASCAL VOC 2007 are done to show the difference between the first order and the second order. After comparison with Canny operator and the proposed first-order differential, the main result is that the second-order differential has the better performance in analysis of changes of the context of images with good selection of control parameter. |
| format | Article |
| id | doaj-art-85dc99f42cce447782f1969f4f3d210e |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-85dc99f42cce447782f1969f4f3d210e2025-08-20T02:08:56ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/121928121928First- and Second-Order Full-Differential in Edge Analysis of ImagesDong-Mei Pu0Yu-Bo Yuan1School of Science, China Jiliang University, Hangzhou 310018, ChinaSchool of Science, China Jiliang University, Hangzhou 310018, ChinaTwo concepts of first- and second-order differential of images are presented to deal with the changes of pixels. These are the basic ideas in mathematics. We propose and reformulate them with a uniform definition framework. Based on our observation and analysis with the difference, we propose an algorithm to detect the edge from image. Experiments on Corel5K and PASCAL VOC 2007 are done to show the difference between the first order and the second order. After comparison with Canny operator and the proposed first-order differential, the main result is that the second-order differential has the better performance in analysis of changes of the context of images with good selection of control parameter.http://dx.doi.org/10.1155/2014/121928 |
| spellingShingle | Dong-Mei Pu Yu-Bo Yuan First- and Second-Order Full-Differential in Edge Analysis of Images The Scientific World Journal |
| title | First- and Second-Order Full-Differential in Edge Analysis of Images |
| title_full | First- and Second-Order Full-Differential in Edge Analysis of Images |
| title_fullStr | First- and Second-Order Full-Differential in Edge Analysis of Images |
| title_full_unstemmed | First- and Second-Order Full-Differential in Edge Analysis of Images |
| title_short | First- and Second-Order Full-Differential in Edge Analysis of Images |
| title_sort | first and second order full differential in edge analysis of images |
| url | http://dx.doi.org/10.1155/2014/121928 |
| work_keys_str_mv | AT dongmeipu firstandsecondorderfulldifferentialinedgeanalysisofimages AT yuboyuan firstandsecondorderfulldifferentialinedgeanalysisofimages |