\u5199\u771f\u306e\u4e3b\u5f79\u3092\u5f15\u304d\u7acb\u305f\u305b\u308b\u305f\u3081\u306b\u80cc\u666f\u3092\u307c\u304b\u3057\u305f\u308a\u3001\u30d7\u30e9\u30a4\u30d0\u30b7\u30fc\u4fdd\u8b77\u306e\u305f\u3081\u5199\u771f\u306e\u9854\u3092\u307c\u304b\u3057\u305f\u308a\u3057\u307e\u3059\u3088\u306d\uff1f<\/p>\n\n\n\n

Photoshop\u306a\u3069\u306e\u753b\u50cf\u51e6\u7406\u30bd\u30d5\u30c8\u3067\u753b\u50cf\u3092\u307c\u304b\u305d\u3046\u3068\u3059\u308b\u3068\u3001\u7a2e\u985e\u304c\u305f\u304f\u3055\u3093\u3042\u3063\u3066\u4f55\u3092\u4f7f\u3063\u305f\u3089\u3044\u3044\u3082\u306e\u304b…\u3002<\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f\u3001\u307c\u304b\u3057\u306e\u57fa\u672c\u3067\u3042\u308b\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf<\/span><\/span><\/strong>\u3001\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf<\/span><\/strong>\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002\u307e\u305f\u3001Python\u3068OpenCV\u3067\u5b9f\u969b\u306b\u5199\u771f\u3092\u307c\u304b\u3059\u5b9f\u8df5\u3092\u3057\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3092\u8aad\u3081\u3070\u3001\u753b\u50cf\u3092\u307c\u304b\u3057\u305f\u304b\u3063\u305f\u3089\u3001\u60a9\u307e\u305a\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u3092\u9078\u629e\u3059\u308c\u3070\u7121\u96e3\u306a\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u3082\u3046\u3001\u307c\u304b\u3057\u3067\u60a9\u3080\u3053\u3068\u304b\u3089\u8131\u5374\u3057\u307e\u3057\u3087\u3046\uff01<\/p>\n\n\n\n

\n\n
\u3053\u306e\u8a18\u4e8b\u306f\u3053\u3093\u306a\u4eba\u306b\u304a\u3059\u3059\u3081\uff01<\/p>\n\n\n
\u753b\u50cf\u51e6\u7406\u3092\u5b66\u3093\u3067\u3044\u308b\u521d\u5fc3\u8005<\/li>
\u307c\u304b\u3057\u306e\u6280\u8853\u3092\u7406\u89e3\u3057\u305f\u3044\u4eba<\/li>
\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u3067\u753b\u50cf\u51e6\u7406\u3092\u5b9f\u8df5\u3057\u305f\u3044\u4eba<\/li><\/ul>\n\n<\/div>\n\n\n\n
\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3068\u306f<\/h2>\n\n\n\n
\u6982\u5ff5<\/h3>\n\n\n\n
\u307c\u304b\u3057\u3092\u5b66\u3076\u524d\u306b\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0<\/strong>\u3092\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30d5\u30a3\u30eb\u30bf\u3092\u76f4\u8a33\u3059\u308b\u3068\u3001\u308d\u904e\u5668\u3084\u3053\u3057\u5668\u306a\u3069\u3067\u3059\u3002\u753b\u50cf\u51e6\u7406\u3067\u306f\u3001\u753b\u50cf\u3092\u3053\u306e\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u3067\u51e6\u7406\u3059\u308b\u3053\u3068\u3067\u69d8\u3005\u306a\u753b\u50cf\u306b\u5909\u63db\u3057\u307e\u3059\u3002\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u306b\u306f\u3001\u307c\u304b\u3059\u305f\u3081\u306e\u30d5\u30a3\u30eb\u30bf\u3001\u30a8\u30c3\u30b8\u3092\u62bd\u51fa\u3059\u308b\u305f\u3081\u306e\u30d5\u30a3\u30eb\u30bf\u3001\u30ce\u30a4\u30ba\u3092\u9664\u53bb\u3059\u308b\u305f\u3081\u306e\u30d5\u30a3\u30eb\u30bf\u306a\u3069\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u306e\u6982\u5ff5\u306f\u3001\u30b3\u30fc\u30d2\u30fc\u306e\u62bd\u51fa\u3067\u4f8b\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b3\u30fc\u30d2\u30fc\u306f\u3001\u30b3\u30fc\u30d2\u30fc\u306e\u7c89\u3092\u30b3\u30fc\u30d2\u30fc\u30d5\u30a3\u30eb\u30bf\u306b\u5165\u308c\u3001\u304a\u6e6f\u3092\u6ce8\u3050\u3068\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3088\u306d\u3002\u6f84\u3093\u3060\u304a\u6e6f\u304c\u30b3\u30fc\u30d2\u30fc\u30d5\u30a3\u30eb\u30bf\u3092\u4ecb\u3059\u3068\u9ed2\u304f\u6fc1\u3063\u305f\u30b3\u30fc\u30d2\u30fc\u306b\u306a\u308b\u3002\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3082\u540c\u69d8\u306a\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002\u5165\u529b\u753b\u50cf\u306f\u3001\u304a\u6e6f\u3067\u3059\u3002\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u306f\u3001\u30b3\u30fc\u30d2\u30fc\u30d5\u30a3\u30eb\u30bf\u3067\u3059\u3002\u30b3\u30fc\u30d2\u30fc\u306e\u7c89\u306f\u3001\u307c\u304b\u3057\u30d5\u30a3\u30eb\u30bf\u306a\u3069\u30d5\u30a3\u30eb\u30bf\u306e\u7a2e\u985e\u3067\u3059\u3002\u51fa\u529b\u753b\u50cf\u306f\u3001\u30b3\u30fc\u30d2\u30fc\u3067\u3059\u3002\u5165\u529b\u753b\u50cf\u3092\u307c\u304b\u3057\u30d5\u30a3\u30eb\u30bf\u3067\u51e6\u7406\u3059\u308b\u3068\u3001\u51fa\u529b\u753b\u50cf\u306f\u5165\u529b\u753b\u50cf\u304c\u307c\u3051\u305f\u7d50\u679c\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
$\"\"$ <\/figure>\n\n\n\n
\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u306f\u3001\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u3068\u975e\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf\u3001\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u306f\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u306e\u305f\u3081\u3001\u3053\u3053\u3067\u306f\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u306e\u6570\u5f0f<\/h3>\n\n\n\n
\u7dda\u5f62\u30d5\u30a3\u30eb\u30bf\u306f\u3001\u5165\u529b\u753b\u50cf\u3092\$f(i,j)\$\u3001\u51fa\u529b\u753b\u50cf\u3092\$g(i,j)\$\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u3088\u308a\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
$$g(i,j)=\\sum_{n=-W}^{W}\\sum_{m=-W}^{W}f(i+m,j+n)h(m,n)$$<\/p>\n\n\n\n
\$h(m,n)\$\u306f\u30d5\u30a3\u30eb\u30bf\u306e\u4fc2\u6570\u3092\u8868\u3059\u914d\u5217\u3067\u3042\u308a\u3001\u30d5\u30a3\u30eb\u30bf\u306e\u7a2e\u985e\u306b\u3088\u3063\u3066\u3053\u306e\u914d\u5217\u306f\u5909\u308f\u3063\u3066\u304d\u307e\u3059\u3002\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf\u3001\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u306e\u4fc2\u6570\u306f\u6b21\u7ae0\u3067\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n
\u30d5\u30a3\u30eb\u30bf\u306e\u5927\u304d\u3055\u306f\u3001\$(2W+1)\\times (2W+1)\$\u3067\u3059\u3002\$W=1\$\u306e\u5834\u5408\u3001\$3\\times 3\$\u884c\u5217\u3001\$W=2\$\u306e\u5834\u5408\u3001\$5\\times 5\$\u884c\u5217\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u6570\u5f0f\u898b\u3066\u3082\u30a4\u30e1\u30fc\u30b8\u3057\u3065\u3089\u3044\u3067\u3059\u3088\u306d…\u3002<\/p>\n\n\n\n
\u8a08\u7b97\u4f8b<\/h3>\n\n\n\n
\u305d\u3053\u3067\u6570\u5f0f\u306b\u5177\u4f53\u7684\u306a\u6570\u5024\u3092\u4ee3\u5165\u3057\u3001\u30a4\u30e1\u30fc\u30b8\u3057\u3084\u3059\u304f\u3057\u307e\u3057\u3087\u3046\u3002\u4e0b\u56f3\u306f3\u00d73\u30d5\u30a3\u30eb\u30bf\u306e\u8a08\u7b97\u4f8b\u3067\u3059\u3002<\/p>\n\n\n\n
$\"\"$ <\/figure>\n\n\n\n
\u5165\u529b\u753b\u50cf\u306e(i,j)\u5ea7\u6a19\u306e\u753b\u7d20\u306f\u300c10\u300d\u3067\u3057\u305f\u304c\u3001\u30d5\u30a3\u30eb\u30bf\u3092\u901a\u3059\u3068(i,j)\u5ea7\u6a19\u306e\u753b\u7d20\u306f\u300c7\u300d\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
3\u00d73\u30d5\u30a3\u30eb\u30bf\u306e\u5834\u5408\u306f\u3001\u5165\u529b\u753b\u50cf\u306e\u3042\u308b\u753b\u7d20\u306b\u5bfe\u3057\u3066\u3001\u4e0a\u4e0b\u5de6\u53f3\u659c\u3081\u306e8\u753b\u7d20\u304c\u5f71\u97ff<\/strong>\u3057\u51fa\u529b\u753b\u7d20\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3088\u306d\u3002\u3053\u308c\u304c\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3068\u547c\u3070\u308c\u308b\u7406\u7531\u3067\u3059\u3002<\/p>\n\n\n\n
\u7a7a\u9593\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u306e\u77e5\u8b58\u306f\u8eab\u306b\u4ed8\u3044\u305f\u3068\u601d\u3044\u307e\u3059\u306e\u3067\u3001\u753b\u50cf\u3092\u307c\u304b\u3059\u305f\u3081\u306e\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf\u3001\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n
\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf\u3068\u306f<\/h2>\n\n\n\n
\u30dc\u30c3\u30af\u30b9\u30d5\u30a3\u30eb\u30bf\u306f\u3001\u975e\u5e38\u306b\u7c21\u5358\u306a\u307c\u304b\u3057(\u5e73\u6ed1\u5316)\u30d5\u30a3\u30eb\u30bf\u3067\u3059\u3002\u30d5\u30a3\u30eb\u30bf\u306e\u7bc4\u56f2\u3092\u5e73\u5747\u5316\u3059\u308b\u306e\u307f\u3067\u3059\u30023\u00d73\u30d5\u30a3\u30eb\u30bf\u306e\u5834\u5408\u306f\u30013\u00d73=9\u753b\u7d20\u3092\u30d5\u30a3\u30eb\u30bf\u3057\u307e\u3059\u306e\u3067\u3001\u5404\u30d5\u30a3\u30eb\u30bf\u4fc2\u6570\u306f9\u5206\u306e1<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002\u540c\u69d8\u306b5\u00d75\u30d5\u30a3\u30eb\u30bf\u306e\u5834\u5408\u306f\u3001\u5404\u30d5\u30a3\u30eb\u30bf\u4fc2\u6570\u306f25\u5206\u306e1<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n
$\"\"$ <\/figure><\/div>\n\n\n
\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u3068\u306f<\/h2>\n\n\n\n
\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u306f\u3001\u30d5\u30a3\u30eb\u30bf\u4fc2\u6570\u304c\u30ac\u30a6\u30b9\u5206\u5e03<\/span><\/strong>\u3068\u306a\u3063\u3066\u3044\u308b\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n
\n
\n
$\"\"$ <\/figure>\n<\/div>\n
\n
\u30ac\u30a6\u30b9\u5206\u5e03\uff1f<\/p>\n<\/div>\n<\/div>\n
\u30ac\u30a6\u30b9\u5206\u5e03\u3068\u306f\u3001\u6b63\u898f\u5206\u5e03\u3068\u3082\u547c\u3070\u308c\u3001\u78ba\u7387\u8ad6\u3084\u7d71\u8a08\u5b66\u3067\u7528\u3044\u3089\u308c\u308b\u9023\u7d9a\u7684\u306a\u5909\u6570\u306b\u95a2\u3059\u308b\u78ba\u7387\u5206\u5e03\u306e\u4e00\u3064\u3067\u3059\u3002\u5e73\u5747\u5024\u3068\u6700\u983b\u5024\u3068\u4e2d\u592e\u5024\u304c\u4e00\u81f4\u3057\u3001\u3053\u308c\u3092\u4e2d\u5fc3\u306b\u5de6\u53f3\u5bfe\u79f0\u306a\u5c71\u306a\u308a\u306e\u5206\u5e03\u3067\u3059\u3002\u81ea\u7136\u754c\u306e\u591a\u304f\u306e\u4e8b\u8c61\u304c\u30ac\u30a6\u30b9\u5206\u5e03\u306b\u5f93\u3046\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059\u3002<\/div>\n\n\n
1\u6b21\u5143\u306e\u30ac\u30a6\u30b9\u5206\u5e03\u306f\u4ee5\u4e0b\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u03c3\u306f\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/p>\n\n\n\n
$$h_g (x) = \\frac{1}{\\sqrt{2\\pi}\\sigma}\\exp(-\\frac{x^2}{2\\sigma^2})$$<\/p>\n\n\n\n
\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u4e0b\u56f3\u3067\u3059\u3002<\/p>\n\n\n\n
$\"\"$ <\/figure>\n\n\n\n
\u03c3\u304c\u5c0f\u3055\u3044\u3068\u5c16\u3063\u305f\u5c71\u3068\u306a\u308a\u3001\u5468\u8fba\u753b\u7d20\u306e\u5f71\u97ff\u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u03c3\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u3001\u5c71\u306f\u5e73\u5766\u3068\u306a\u308a\u3001\u5468\u8fba\u753b\u7d20\u306e\u5f71\u97ff\u304c\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002\u307c\u304b\u3057\u3092\u5f37\u304f\u3057\u305f\u3044\u306a\u3089\u03c3\u3092\u5927\u304d\u304f<\/span><\/strong>\u3059\u308c\u3070\u3088\u3044\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u753b\u50cf\u306f2\u6b21\u5143\u3067\u3059\u306e\u3067\u30012\u6b21\u5143\u30ac\u30a6\u30b9\u5206\u5e03\u304c\u5fc5\u8981\u3067\u3059\u30022\u6b21\u5143\u30ac\u30a6\u30b9\u5206\u5e03\u306f\u4ee5\u4e0b\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
$$h_g(x) = \\frac{1}{2\\pi\\sigma^2}\\exp(-\\frac{x^2+y^2}{2\\sigma^2})$$<\/p>\n\n\n\n
\u03c3=2\u3092\u4ee3\u5165\u3057\u3066\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u3053\u3093\u306a\u611f\u3058\u3002<\/p>\n\n\n\n
$\"\"$ <\/figure>\n\n\n\n
\u3053\u306e\u5f0f\u304b\u3089NxN\u30d5\u30a3\u30eb\u30bf\u4fc2\u6570\u884c\u5217\u3092\u4f5c\u308c\u3070\u3001\u30ac\u30a6\u30b7\u30a2\u30f3\u30d5\u30a3\u30eb\u30bf\u306e\u51fa\u6765\u4e0a\u304c\u308a\u3067\u3059\u3002<\/p>\n\n\n\n