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A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 1، شماره 2، دی 2004، صفحه 1-14 اصل مقاله (300.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2004.497 | ||
| نویسندگان | ||
| SAFAR HATAMI1؛ BABAK N. ARAABI* 2؛ CARO LUCAS2 | ||
| 1RESEARCH ASSISTANT, CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515, TEHRAN, IRAN. | ||
| 2CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX 14395/515, TEHRAN, IRAN. | ||
| چکیده | ||
| In this paper, a new Fuzzy Morphology (FM) based on the Generalized Dempster-Shafer Theory (GDST) is proposed. At first, in order to clarify the similarity of definitions between Mathematical Morphology (MM) and Dempster-Shafer Theory (DST), dilation and erosion morphological operations are studied from a different viewpoint. Then, based on this similarity, a FM based on the GDST is proposed. Unlike previous FM’s, proposed FM does not need any threshold to obtain final eroded or dilated set/image. The dilation and erosion operations are carried out independently but complementarily. The GDST based FM results in various eroded and dilated images in consecutive α-cuts, making a nested set of convex images, where each dilated image at a larger α-cut is a subset of the dilated image at a smaller α-cut. Dual statement applies to eroded images. | ||
| کلیدواژهها | ||
| Generalized Dempster-Shafer theory؛ Mathematical Morphology؛ Fuzzy Morphology؛ Generalized Dempster-Shafer Theory’s Fuzzy Morphology | ||
| مراجع | ||
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