On Edge Detection
Edge detection is the process that attempts to characterize the intensity changes in the image in terms of the physical processes that have originated them. A critical, intermediate goal of edge detection is the detection and characterization of significant intensity changes. This paper discus...
| Main Authors: | , |
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| Language: | en_US |
| Published: |
2004
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/5636 |
| _version_ | 1811097566116315136 |
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| author | Torre, V. Poggio, T. |
| author_facet | Torre, V. Poggio, T. |
| author_sort | Torre, V. |
| collection | MIT |
| description | Edge detection is the process that attempts to characterize the intensity changes in the image in terms of the physical processes that have originated them. A critical, intermediate goal of edge detection is the detection and characterization of significant intensity changes. This paper discusses this part fo the edge detection problem. To characterize the types of intensity changes derivatives of different types, and possibly different scales, are needed. Thus we consider this part of edge detection as a problem in numerical differentiation. We show that numerical differentiation of images is an ill-posed problem in the sense of Hadamard. Differentiation needs to be regularized by a regularizing filtering operation before differentiation. This shows that his part of edge detection consists of two steps, a filtering step and differentiation step. |
| first_indexed | 2024-09-23T17:01:26Z |
| id | mit-1721.1/5636 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:01:26Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/56362019-04-12T08:26:48Z On Edge Detection Torre, V. Poggio, T. numerical differentiation zero crossings regularization Edge detection is the process that attempts to characterize the intensity changes in the image in terms of the physical processes that have originated them. A critical, intermediate goal of edge detection is the detection and characterization of significant intensity changes. This paper discusses this part fo the edge detection problem. To characterize the types of intensity changes derivatives of different types, and possibly different scales, are needed. Thus we consider this part of edge detection as a problem in numerical differentiation. We show that numerical differentiation of images is an ill-posed problem in the sense of Hadamard. Differentiation needs to be regularized by a regularizing filtering operation before differentiation. This shows that his part of edge detection consists of two steps, a filtering step and differentiation step. 2004-10-01T20:17:49Z 2004-10-01T20:17:49Z 1984-08-01 AIM-768 http://hdl.handle.net/1721.1/5636 en_US AIM-768 41 p. 6873209 bytes 5396431 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | numerical differentiation zero crossings regularization Torre, V. Poggio, T. On Edge Detection |
| title | On Edge Detection |
| title_full | On Edge Detection |
| title_fullStr | On Edge Detection |
| title_full_unstemmed | On Edge Detection |
| title_short | On Edge Detection |
| title_sort | on edge detection |
| topic | numerical differentiation zero crossings regularization |
| url | http://hdl.handle.net/1721.1/5636 |
| work_keys_str_mv | AT torrev onedgedetection AT poggiot onedgedetection |