{"id":180,"date":"2020-12-04T00:18:00","date_gmt":"2020-12-04T00:18:00","guid":{"rendered":"http:\/\/med-space.org\/youssef-zaz-master\/?page_id=180"},"modified":"2020-12-14T00:56:22","modified_gmt":"2020-12-14T00:56:22","slug":"operations-morphologiques","status":"publish","type":"page","link":"https:\/\/yzaz.net\/master\/operations-morphologiques\/","title":{"rendered":"Op\u00e9rations morphologiques"},"content":{"rendered":"

Une des id\u00e9es de base de la morphologie math\u00e9matique est d’\u00e9tudier ou de traiter un ensemble \u00e0 l’aide d’un autre ensemble, appel\u00e9 \u00e9l\u00e9ment structurant, qui sert de sonde. \u00c0 chaque position de l’\u00e9l\u00e9ment structurant, on regarde s’il touche ou s’il est inclus dans l’ensemble initial. En fonction de la r\u00e9ponse, on construit un ensemble de sortie. On obtient ainsi des op\u00e9rateurs de base qui sont relativement intuitifs.
\nLes op\u00e9rations morphologiques sont des filtres non-lin\u00e9aires qui peuvent s’appliquer tant aux images binaires qu’\u00e0 celles \u00e0 niveaux de gris. Les 4 op\u00e9rations morphologiques de base sont: la dilatation, l’\u00e9rosion, l’ouverture et la fermeture.<\/p>\n

Quelques utilisation des transformations morphologiques:<\/strong><\/p>\n

\"\"<\/p>\n

Erosion binaire<\/h2>\n

L\u2019\u00e9rosion d\u2019une image I par un \u00e9l\u00e9ment structurant E consiste \u00e0 ne conserver que les points x de l\u2019espace tels que l\u2019\u00e9l\u00e9ment E, une fois plac\u00e9 sur x, s\u2019encastre totalement \u00e0 l\u2019int\u00e9rieur de I.<\/p>\n

\"\"<\/p>\n

 <\/p>\n

\"\"\u00a0\"\" \"\" \"\"<\/p>\n

Code Matlab:<\/p>\n

\r\na=[\r\n0   0   0   1   0   0   0\r\n0   1   1   1   1   1   0\r\n0   1   0   1   1   1   0\r\n1   1   1   1   1   1   0\r\n0   0   1   1   1   1   0\r\n0   1   1   1   1   1   0\r\n0   0   0   0   0   1   0];\r\n \r\nst1=[1 1 1 \r\n     1 1 1\r\n     1 1 1];\r\nst2=[0 1 0 \r\n     1 1 1\r\n     0 1 0];\r\nst3=[0 1 0 \r\n     0 1 0\r\n     0 1 0]; \r\nst4=[0 0 0 \r\n     1 1 1\r\n     0 0 0]; \r\ni1= imerode(a,st1);\r\n i2= imerode(a,st2);\r\n i3= imerode(a,st3);\r\n i4= imerode(a,st4);\r\n subplot (2,3,1), imshow(a), title('original');\r\nsubplot (2,3,2), imshow(i1),  title ('erosion cube');\r\nsubplot (2,3,3), imshow(i2),  title ('erosion cercle');\r\nsubplot (2,3,4), imshow(i3),  title ('erosion |');\r\nsubplot (2,3,5), imshow(i4),  title ('erosion ---');\r\n<\/pre>\n
\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"
Une des id\u00e9es de base de la morphologie math\u00e9matique est d’\u00e9tudier ou de traiter un ensemble \u00e0 l’aide d’un autre ensemble, appel\u00e9 \u00e9l\u00e9ment structurant, qui […]<\/a><\/p>\n<\/div>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":70,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/pages\/180"}],"collection":[{"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/comments?post=180"}],"version-history":[{"count":4,"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/pages\/180\/revisions"}],"predecessor-version":[{"id":601,"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/pages\/180\/revisions\/601"}],"wp:attachment":[{"href":"https:\/\/yzaz.net\/master\/wp-json\/wp\/v2\/media?parent=180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}