{"id":1692,"date":"2023-06-08T22:00:26","date_gmt":"2023-06-08T14:00:26","guid":{"rendered":"https:\/\/blog.vanabel.cn\/?p=1692"},"modified":"2023-06-08T22:31:10","modified_gmt":"2023-06-08T14:31:10","slug":"bianjiebaopodeboziquyufenjietu","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=1692","title":{"rendered":"\u8fb9\u754c\u7206\u7834\u7684\u8116\u5b50\u533a\u57df\u5206\u89e3\u56fe"},"content":{"rendered":"

\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8116\u5b50\u533a\u57df\u7684\u5206\u89e3\u56fe\u4e3a
\n\\[
\n D_\\delta^+\\setminus D_{r_nR}^+(x_n)
\n =D_\\delta^+\\setminus D_{\\delta\/2}^+(x_n’)
\n \\cup D_{\\delta\/2}^+(x_n’)\\setminus D_{2d_n}^+(x_n’)
\n \\cup D_{2d_n}^+(x_n’)\\setminus D_{d_n}^+(x_n)
\n \\cup D_{d_n}^+(x_n)\\setminus D_{r_nR}^+(x_n).
\n\\]<\/p>\n

\"NeckRegionDecomposition.png\"<\/a>
\n<\/p>\n

\n\n\n\n\\mplibtextextlabel{enable}\n\n\\begin{mplibcode}\n<\/pre>\n
\n    u:=15pt;\n    def DrawPaths(text lis) = \n    pickup pencircle scaled .3pt;\n    for i=lis:\n    draw pat[i];\n    pat[10+i]:=(point 0 of pat[i]) -- (point 4 of pat[i]);\n    draw pat[10+i];\n    endfor;\n    pickup defaultpen;\n    enddef;\n    beginfig(1);\n    path pat[]; picture lab;\n    delta=60u;\n    rnR=4u;\n    pat0=halfcircle scaled delta;\n    z0=(4u, 4u); z1=(xpart(z0),0);\n    d=2ypart(z0);\n    pat1=fullcircle scaled rnR shifted z0;\n    pat2=halfcircle scaled (delta\/2) shifted z1;\n    pat3=halfcircle scaled (2d) shifted z1;\n    pat4=fullcircle scaled d shifted z0;\n    \n    \n    \n    \n    \n    DrawPaths(0,1,2,3,4); \n    pat6=buildcycle(pat0,reverse pat10, reverse pat2, pat10);\n    fill pat6 withcolor .95[blue,white];\n    pat7=buildcycle(pat2,reverse pat12, reverse pat3, reverse pat12);\n    fill pat7 withcolor .95[green,white];\n    fill buildcycle(pat3,pat13) withcolor .95[red,white];\n    fill pat4 withcolor .95[blue+green,white];\n    unfill pat1;\n    input hatching;\n    pat5=buildcycle(pat0, pat10);\n    hatchoptions (withcolor .8[red,white] dashed evenly);\n    hatchfill pat5 withcolor (45, 3mm, -.5bp); \n    unfill buildcycle(pat1,pat11);\n\n    label.bot(btex $D_\\delta^+$ etex, point 0 of pat0);\n    dotlabel.bot(btex $x_n$ etex, z0) withpen pencircle scaled 1.5pt;\n    dotlabel.bot(btex $x_n'$ etex, z1) withpen pencircle scaled 1.5pt;\n    dotlabel.bot(btex $0$ etex, origin) withpen pencircle scaled 1.5pt;\n    lab:=thelabel.bot(btex $D_{r_nR}^+(x_n)$ etex, (point 2 of pat1)+0.5u*down);\n    unfill bbox lab; draw lab;\n    label.bot(btex $D_{\\delta\/2}^+(x_n')$ etex, point 0 of pat2);\n    label.bot(btex $D_{2d_n}^+(x_n')$ etex, point 0 of pat3);\n    lab:=thelabel.bot(btex $D_{d_n}^+(x_n)$ etex, (point 2 of pat4)-0.5u*up);\n    unfill bbox lab; draw lab;\n    endfig;\n<\/pre>\n
\n  \\end{mplibcode}\n  \n<\/pre>\n","protected":false},"excerpt":{"rendered":"
\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8116\u5b50\u533a\u57df\u7684\u5206\u89e3\u56fe\u4e3a \\[ D_\\delta^+\\setminus D_{r_nR}^+(x_n) … \u7ee7\u7eed\u9605\u8bfb\u8fb9\u754c\u7206\u7834\u7684\u8116\u5b50\u533a\u57df\u5206\u89e3\u56fe<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[316,317],"class_list":["post-1692","post","type-post","status-publish","format-standard","hentry","category-math","tag-baopofenxi","tag-boziquyu","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1692","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1692"}],"version-history":[{"count":5,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1692\/revisions"}],"predecessor-version":[{"id":1704,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1692\/revisions\/1704"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}