{"id":4192,"date":"2025-12-09T10:18:33","date_gmt":"2025-12-09T02:18:33","guid":{"rendered":"https:\/\/www.leexinghai.com\/aic\/?p=4192"},"modified":"2025-12-09T10:18:38","modified_gmt":"2025-12-09T02:18:38","slug":"h51208-%e9%9a%8f%e5%a0%82%e7%bb%83%e4%b9%a0-%e8%ae%a1%e7%ae%97%e9%a2%98%ef%bc%88%e6%80%9d%e8%b7%af%e6%ad%a5%e9%aa%a4%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.leexinghai.com\/aic\/h51208-%e9%9a%8f%e5%a0%82%e7%bb%83%e4%b9%a0-%e8%ae%a1%e7%ae%97%e9%a2%98%ef%bc%88%e6%80%9d%e8%b7%af%e6%ad%a5%e9%aa%a4%ef%bc%89\/","title":{"rendered":"H51208-\u968f\u5802\u7ec3\u4e60-\u8ba1\u7b97\u9898\uff08\u601d\u8def\u6b65\u9aa4\uff09"},"content":{"rendered":"\n

\u8ba1\u7b97\u9898 <\/p>\n\n\n\n

\u8fd1\u5e74\u6765\uff0c\u6df1\u5ea6\u5b66\u4e60\u5728\u667a\u6167\u519c\u4e1a\u4e2d\u5f97\u5230\u4e86\u91cd\u8981\u5e94\u7528\u3002\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u79cd\u6df1\u5ea6\u5b66\u4e60\u7f51\u7edc,\u59821(a)\u6240\u793a,\u4e3a\u5355\u901a\u9053\u4e8c\u7ef4\u5377\u79ef\u65b9\u5f0f,\u8f93\u5165\u7279\u5f81\u4e3a1*8*8\uff0c\u5176\u4e2d1\u4e3a\u901a\u9053\u6570\uff0c8*8\u4e3a\u7279\u5f81\u957f\u5ea6\u548c\u5bbd\u5ea6\uff0c\u91c7\u7528\u59821(b)\u6240\u793a\u76843*3 \u5927\u5c0f\u7684\u5377\u79ef\u6838\u8fdb\u884c\u5377\u79ef\u64cd\u4f5c(\u6ca1\u6709Padding\u64cd\u4f5c\uff0c\u6b65\u957f\u4e3a1)\u3002 <\/p>\n\n\n\n

1(a)\uff1a <\/p>\n\n\n\n

O<\/mi>=<\/mo>[<\/mo>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>\nO = \\begin{bmatrix} \n 5 & 5 & 5 &5 & 0& 0& 0& 0 \\\\ \n 5 & 5 & 5 &5 & 0& 0& 0& 0 \\\\ \n 5 & 5 & 5 &5 & 0& 0& 0& 0 \\\\ \n 5 & 5 & 5 &5 & 0& 0& 0& 0 \\\\ \n 0 & 0 & 0 &0 & 5& 5& 5& 5 \\\\ \n0 & 0 & 0 &0 & 5& 5& 5& 5 \\\\ \n0 & 0 & 0 &0 & 5& 5& 5& 5 \\\\ \n0 & 0 & 0 &0 & 5& 5& 5& 5 \\\\ \n\\end{bmatrix} <\/annotation><\/semantics><\/math><\/div>\n\n\n\n

1(b): <\/p>\n\n\n\n

K<\/mi>=<\/mo>[<\/mo>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>\nK = \\begin{bmatrix} \n 1 & 0 & -1\\\\ \n 1 & 0 & -1\\\\ \n 1 & 0 & -1\\\\ \n\\end{bmatrix} <\/annotation><\/semantics><\/math><\/div>\n\n\n\n

(1)\u8bf7\u8f93\u51fa\u5377\u79ef\u64cd\u4f5c\u540e\u7684\u7279\u5f81\u56fe\u3002 <\/p>\n\n\n\n

(2)\u5f97\u5230\u4e0a\u8ff0\u6b65\u9aa4(1)\u7684\u7279\u5f81\u56fe\u540e\uff0c\u91c7\u75282*2\u5927\u5c0f\u7684\u6c60\u5316\u6838\u8fdb\u884c\u6c60\u5316\u64cd\u4f5c(\u6700\u5927\u6c60\u5316\uff0c\u6b65\u957f\u4e3a1)\u3002\u8bf7\u8f93\u51fa\u6c60\u5316\u540e\u7684\u7279\u5f81\u56fe\u3002<\/p>\n\n\n\n

\n\n\n\n

(1) \u5377\u79ef\u64cd\u4f5c<\/strong><\/h2>\n\n\n\n

\u8f93\u5165\uff1a
1 \u4e2a\u901a\u9053\uff0c8\u00d78 \u77e9\u9635\uff08\u8bb0\u4e3a ( I )\uff09
<\/p>\n\n\n\n

I<\/mi>=<\/mo>[<\/mo>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>I=\\begin{bmatrix}\n5 & 5 & 5 & 5 & 0 & 0 & 0 & 0 \\\\\n5 & 5 & 5 & 5 & 0 & 0 & 0 & 0 \\\\\n5 & 5 & 5 & 5 & 0 & 0 & 0 & 0 \\\\\n5 & 5 & 5 & 5 & 0 & 0 & 0 & 0 \\\\\n0 & 0 & 0 & 0 & 5 & 5 & 5 & 5 \\\\\n0 & 0 & 0 & 0 & 5 & 5 & 5 & 5 \\\\\n0 & 0 & 0 & 0 & 5 & 5 & 5 & 5 \\\\\n0 & 0 & 0 & 0 & 5 & 5 & 5 & 5\n\\end{bmatrix}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u5377\u79ef\u6838\uff1a<\/p>\n\n\n\n

K<\/mi>=<\/mo>[<\/mo>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>K =\n\\begin{bmatrix}\n1 & 0 & -1 \\\\\n1 & 0 & -1 \\\\\n1 & 0 & -1\n\\end{bmatrix}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u65e0 padding\uff0c\u6b65\u957f stride = 1\uff0c\u8f93\u51fa\u5c3a\u5bf8\u4e3a\uff1a<\/p>\n\n\n\n

(<\/mo>8<\/mn>\u2212<\/mo>3<\/mn>+<\/mo>1<\/mn>)<\/mo>\u00d7<\/mo>(<\/mo>8<\/mn>\u2212<\/mo>3<\/mn>+<\/mo>1<\/mn>)<\/mo>=<\/mo>6<\/mn>\u00d7<\/mo>6<\/mn><\/mrow>(8-3+1) \\times (8-3+1) = 6 \\times 6<\/annotation><\/semantics><\/math><\/div>\n\n\n\n
\n\n\n\n

\u8ba1\u7b97\u65b9\u6cd5<\/strong>\uff1a
\u5bf9\u8f93\u51fa\u4f4d\u7f6e (i,j)\uff0c\u53d6 (I) \u4e2d\u4ee5 (i,j)\u4e3a\u5de6\u4e0a\u89d2\u7684 3\u00d73 \u5757\uff0c\u4e0e (K) \u9010\u5143\u7d20\u76f8\u4e58\u540e\u6c42\u548c\u3002<\/p>\n\n\n\n

\u6211\u4eec\u5148\u770b\u51e0\u4e2a\u5178\u578b\u533a\u57df\u3002
\u6ce8\u610f\u5230 (I) \u7684\u7ed3\u6784\uff1a\u5de6\u4e0a 4\u00d74 \u5168\u662f 5\uff0c\u53f3\u4e0a 4\u00d74 \u5168\u662f 0\uff1b\u5de6\u4e0b 4\u00d74 \u5168\u662f 0\uff0c\u53f3\u4e0b 4\u00d74 \u5168\u662f 5\uff0c\u4e2d\u95f4\u6709\u4e00\u884c\u4e00\u5217\u662f\u4ea4\u754c\u5904\uff08\u7b2c 4 \u884c\u548c\u7b2c 4 \u5217 \u662f 5\u21920 \u6216 0\u21925\uff09\u3002<\/p>\n\n\n\n

\n\n\n\n

\u6b65\u9aa4 1\uff1a\u5de6\u4e0a\u533a\u57df<\/strong>\uff08\u5377\u79ef\u6838\u8986\u76d6\u5168\u4e3a 5\uff09<\/h3>\n\n\n\n

\u5de6\u4e0a\u89d2 (0,0) \u8f93\u51fa\uff1a<\/p>\n\n\n\n

5<\/mn>\u22c5<\/mo>1<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>0<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo><\/mspace>+<\/mo><\/mspace>5<\/mn>\u22c5<\/mo>1<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>0<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo><\/mspace>+<\/mo><\/mspace>5<\/mn>\u22c5<\/mo>1<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>0<\/mn>+<\/mo>5<\/mn>\u22c5<\/mo>(<\/mo>\u2212<\/mo>1<\/mn>)<\/mo><\/mrow>\n5\\cdot1 + 5\\cdot0 + 5\\cdot(-1) \\;+\\;\n5\\cdot1 + 5\\cdot0 + 5\\cdot(-1) \\;+\\;\n5\\cdot1 + 5\\cdot0 + 5\\cdot(-1)\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

= (5-5) + (5-5) + (5-5) = 0+0+0 = 0<\/p>\n\n\n\n

\u5176\u5b9e\u5bf9\u4e8e\u5168\u4e3a 5 \u7684 3\u00d73 \u533a\u57df\uff0c\u5377\u79ef\u6838\u6bcf\u4e00\u5217\u7684 1,0,-1 \u5bf9\u5e38\u6570 5 \u8fd0\u7b97\uff1a
\u7b2c\u4e00\u5217\uff1a(1\u00b75 + 1\u00b75 + 1\u00b75 = 15)
\u7b2c\u4e8c\u5217\uff1a(0)
\u7b2c\u4e09\u5217\uff1a(-1\u00b75 + -1\u00b75 + -1\u00b75 = -15)
\u603b\u548c (15 + 0 - 15 = 0)\uff0c\u6240\u4ee5\u53ea\u8981 3\u00d73 \u5757\u6570\u503c\u76f8\u540c\uff0c\u7ed3\u679c\u5c31\u662f 0\u3002<\/p>\n\n\n\n

\u540c\u7406\uff0c\u5168\u4e3a 0 \u7684\u533a\u57df\u7ed3\u679c\u4e5f\u662f 0\u3002<\/p>\n\n\n\n

\n\n\n\n

\u6b65\u9aa4 2\uff1a\u8003\u8651\u8fb9\u754c\u9644\u8fd1<\/strong><\/h3>\n\n\n\n

\u770b \u7b2c 3 \u5217\u548c\u7b2c 4 \u5217<\/strong> \u4e4b\u95f4\uff08\u5373 5 \u5230 0 \u7684\u5782\u76f4\u8fb9\u754c\u5728 (I) \u7684\u7b2c 3 \u5217\u548c\u7b2c 4 \u5217\u4e4b\u95f4\uff09\u3002
\u5217 j = 2 \u65f6\uff0c\u770b\u5377\u79ef\u6838\u7684\u5217\uff1a\u5b83\u8986\u76d6 I \u7684\u5217 2,3,4\u3002
\u6bd4\u5982\u53d6 i=0, j=2 \u7684\u5757\uff08\u8986\u76d6 I \u7684\u884c 0,1,2\uff1b\u5217 2,3,4\uff09\uff1a<\/p>\n\n\n\n

I<\/mi>0,2..4<\/mn><\/msub>=<\/mo>[<\/mo>5,5,0<\/mn>]<\/mo><\/mo>I<\/mi>1,2..4<\/mn><\/msub>=<\/mo>[<\/mo>5,5,0<\/mn>]<\/mo><\/mo>I<\/mi>2,2..4<\/mn><\/msub>=<\/mo>[<\/mo>5,5,0<\/mn>]<\/mo><\/mo><\/mrow>I_{0,2..4} = [5,5,0] \\\\\nI_{1,2..4} = [5,5,0] \\\\\nI_{2,2..4} = [5,5,0] \\\\<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u5377\u79ef\u6838 (K)\uff1a
\u7b2c\u4e00\u5217 (1,1,1)\uff1a\u5bf9\u5e94 I \u5217 2 (\u5168 5) \u2192 5+5+5 = 15
\u7b2c\u4e8c\u5217 (0,0,0)\uff1a\u5bf9\u5e94 I \u5217 3 (\u5168 5) \u2192 0
\u7b2c\u4e09\u5217 (-1,-1,-1)\uff1a\u5bf9\u5e94 I \u5217 4 (\u5168 0) \u2192 0<\/p>\n\n\n\n

\u603b\u548c 15+0+0=15\u3002<\/p>\n\n\n\n

\n\n\n\n

\u6240\u4ee5\u5782\u76f4\u8fb9\u754c\u9644\u8fd1\u4f1a\u51fa\u73b0\u975e\u96f6\u503c\u3002<\/p>\n\n\n\n

\u6211\u4eec\u624b\u5de5\u5206\u51e0\u4e2a\u533a\u5feb\u901f\u7b97\u51fa 6\u00d76 \u7ed3\u679c\uff1a<\/p>\n\n\n\n

\u8bb0\u8f93\u51fa\u77e9\u9635 (O)\u3002<\/p>\n\n\n\n

\u533a\u57df A<\/strong>\uff1a\u5377\u79ef\u8986\u76d6\u5168\u662f 5 \u6216\u5168\u662f 0 \u2192 \u8f93\u51fa 0\u3002
\u8986\u76d6\u5168\u662f 5 \u7684\u60c5\u51b5\uff1a\u9700\u8981\u5757\u5728 I \u7684\u5217 0~2,3? \u4ed4\u7ec6\u770b\uff1a
\u5982\u679c\u5757\u7684\u5217\u8303\u56f4\u5728 0~2 \u5e76\u4e14\u884c\u8303\u56f4\u5728 0~2 \u5185 \u2192 \u5757\u5185\u5168\u662f 5 \u5417\uff1f
I \u884c 0~2\uff0c\u5217 0~3 \u5168\u662f 5\uff0c\u4f46\u662f\u5757\u5bbd 3\uff0c\u6bd4\u5982 j=1 \u65f6\u5217 1~3 \u5757\u5185\u5305\u542b\u7b2c 3 \u5217\uff08\u4e5f\u662f 5\uff09\uff0c\u6240\u4ee5 j=0,1,2 \u5728\u884c i=0,1,2 \u65f6\u5757\u5185\u5168\u662f 5\uff1f\u4e0d\u5bf9\u2014\u2014j=2 \u65f6\u5217 2~4 \u5305\u542b\u7b2c4\u5217\uff080\uff09\uff0c\u67095\u67090\u3002<\/p>\n\n\n\n

\u6240\u4ee5\u6211\u4eec\u7cbe\u786e\u6309 3\u00d73 \u5757\u662f\u5426\u5168\u662f\u540c\u4e00\u6570\u503c\u6765\u5feb\u901f\u5224\u65ad\u3002<\/p>\n\n\n\n

\u66f4\u597d\u65b9\u6cd5\uff1a\u8ba1\u7b97\u5377\u79ef\u7b49\u4ef7\u4e8e\u5bf9 I \u5148\u4e0e [1,0,-1] \u5728\u6c34\u5e73\u65b9\u5411\u505a 1D \u5377\u79ef\u5417\uff1f\u5b9e\u9645\u6838\u662f\u5782\u76f4\u8fb9\u7f18\u68c0\u6d4b\uff08\u56e0\u4e3a\u4e09\u884c\u4e00\u6837\uff09\uff0c\u76f8\u5f53\u4e8e\u5782\u76f4\u65b9\u5411\u7684\u6c42\u548c\u4e58\u4ee5\u6c34\u5e73\u5dee\u5206\u3002<\/p>\n\n\n\n

\u6838\uff1a<\/p>\n\n\n\n

[<\/mo>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr>1<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>1<\/mn><\/mrow><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow>\\begin{bmatrix}1&0&-1\\\\1&0&-1\\\\1&0&-1\\end{bmatrix}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u8fd9\u7b49\u4ef7\u4e8e\u7ad6\u76f4\u65b9\u5411\u7684\u5411\u91cf [1;1;1] \u4e0e\u6c34\u5e73\u65b9\u5411\u7684\u5411\u91cf [1,0,-1] \u7684\u5916\u79ef\u3002<\/p>\n\n\n\n

\u56e0\u6b64\u53ef\u4ee5\u5206\u89e3\u4e3a\uff1a\u5148\u7528 [1,0,-1] \u5bf9 I \u7684\u6bcf\u4e00\u884c\u505a\u6c34\u5e73\u5377\u79ef\uff0c\u5f97\u5230\u4e2d\u95f4\u77e9\u9635 (H)\uff0c\u5c3a\u5bf8 8\u00d7(8-2)=8\u00d76\uff08\u56e0\u4e3a\u6c34\u5e73\u6838\u957f3\uff0cstride1\uff09\u3002\u7136\u540e\u518d\u7528\u7ad6\u76f4\u6838 [1;1;1] \u5bf9 H \u7684\u6bcf\u4e00\u5217\u505a\u7ad6\u76f4\u5377\u79ef\uff08\u6838\u957f3 stride1\uff09\uff0c\u5f97\u5230 6\u00d76\u3002<\/p>\n\n\n\n

\n\n\n\n

\u5148\u505a\u6c34\u5e73\u5377\u79ef\uff08\u6838 [1,0,-1]\uff09<\/strong><\/h3>\n\n\n\n

\u5bf9 I \u7684\u67d0\u4e00\u884c\uff0c\u6bd4\u5982\u7b2c0\u884c [5,5,5,5,0,0,0,0]
\u8ba1\u7b97 H(i,j) = I(i,j) - I(i,j+2)\uff08\u56e0\u4e3a 1I(j) + 0<\/em>I(j+1) + (-1)*I(j+2) \u7b49\u4e8e I(j) - I(j+2)\uff09\u3002<\/p>\n\n\n\n

\u7b2c\u4e00\u884c 5,5,5,5,0,0,0,0\uff1a
j=0: I(0,0)-I(0,2)=5-5=0
j=1: I(0,1)-I(0,3)=5-5=0
j=2: I(0,2)-I(0,4)=5-0=5
j=3: I(0,3)-I(0,5)=5-0=5
j=4: I(0,4)-I(0,6)=0-0=0
j=5: I(0,5)-I(0,7)=0-0=0
\u6240\u4ee5\u7b2c0\u884c H: [0,0,5,5,0,0]<\/p>\n\n\n\n

\u7b2c1\u884c\u540c\u4e0a\uff1a [0,0,5,5,0,0]
\u7b2c2\u884c\uff1a[0,0,5,5,0,0]
\u7b2c3\u884c\uff08\u7b2c3\u884c I \u540c\u7b2c0\u884c\uff09\uff1a[0,0,5,5,0,0]<\/p>\n\n\n\n

\u7b2c4\u884c I=[0,0,0,0,5,5,5,5]\uff1a
j=0: 0-0=0
j=1: 0-0=0
j=2: 0-5=-5
j=3: 0-5=-5
j=4: 5-5=0
j=5: 5-5=0
\u6240\u4ee5 [0,0,-5,-5,0,0]<\/p>\n\n\n\n

\u7b2c5\u884c\uff1a[0,0,-5,-5,0,0]
\u7b2c6\u884c\uff1a[0,0,-5,-5,0,0]
\u7b2c7\u884c\uff1a[0,0,-5,-5,0,0]<\/p>\n\n\n\n

\u56e0\u6b64 (H)\uff088\u00d76\uff09\uff1a<\/p>\n\n\n\n

[<\/mo>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow>\\begin{bmatrix}\n0 & 0 & 5 & 5 & 0 & 0 \\\\\n0 & 0 & 5 & 5 & 0 & 0 \\\\\n0 & 0 & 5 & 5 & 0 & 0 \\\\\n0 & 0 & 5 & 5 & 0 & 0 \\\\\n0 & 0 & -5 & -5 & 0 & 0 \\\\\n0 & 0 & -5 & -5 & 0 & 0 \\\\\n0 & 0 & -5 & -5 & 0 & 0 \\\\\n0 & 0 & -5 & -5 & 0 & 0\n\\end{bmatrix}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n
\n\n\n\n

\u518d\u505a\u7ad6\u76f4\u5377\u79ef\uff08\u6838 [1;1;1]\uff09<\/strong> \u5bf9 H \u7684\u6bcf\u4e00\u5217<\/h3>\n\n\n\n

\u7ad6\u76f4\u65b9\u5411\u957f\u5ea6 8\uff0c\u6838\u957f3 stride1\uff0c\u5f97 6 \u884c\u8f93\u51fa\u3002
\u7ad6\u76f4\u6c42\u548c\uff1a\u5bf9\u5217\u4e2d\u8fde\u7eed\u4e09\u884c\u76f8\u52a0\u3002<\/p>\n\n\n\n

\u7b2c0\u5217<\/strong>\uff1a[0,0,0,0,0,0,0,0]
\u4e09\u884c\u76f8\u52a0\uff1a
i=0..2: 0+0+0=0
i=1..3: 0+0+0=0
i=2..4: 0+0+0=0
i=3..5: 0+0+0=0
i=4..6: 0+0+0=0
i=5..7: 0+0+0=0
\u6240\u4ee5\u5168 0\u3002<\/p>\n\n\n\n

\u7b2c1\u5217<\/strong>\uff1a\u540c\u7b2c0\u5217\u5168 0\u3002<\/p>\n\n\n\n

\u7b2c2\u5217<\/strong>\uff1a
\u6570\u503c\uff1a5,5,5,5,-5,-5,-5,-5
i=0: 5+5+5=15
i=1: 5+5+5=15
i=2: 5+5+(-5)=5
i=3: 5+(-5)+(-5)=-5
i=4: (-5)+(-5)+(-5)=-15
i=5: (-5)+(-5)+(-5)=-15<\/p>\n\n\n\n

\u7b2c3\u5217<\/strong>\uff1a\u540c\u7b2c2\u5217\u6570\u503c\u5b8c\u5168\u4e00\u6837\uff08\u56e0\u4e3a H \u7684\u7b2c3\u5217\u540c\u7b2c2\u5217\uff09
\u6240\u4ee5\u4e5f\u662f 15,15,5,-5,-15,-15\u3002<\/p>\n\n\n\n

\u7b2c4\u5217<\/strong>\uff1a\u5168 0 \u2192 \u5168 0
\u7b2c5\u5217<\/strong>\uff1a\u5168 0 \u2192 \u5168 0<\/p>\n\n\n\n

\n\n\n\n

\u56e0\u6b64\u5377\u79ef\u540e\u7279\u5f81\u56fe (O)\uff086\u00d76\uff09\uff1a<\/p>\n\n\n\n

\u7b54\u6848 (1)<\/strong>\uff1a<\/p>\n\n\n\n

O<\/mi>=<\/mo>[<\/mo>0<\/mn><\/mtd>0<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>15<\/mn><\/mrow><\/mtd>\u2212<\/mo>15<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>15<\/mn><\/mrow><\/mtd>\u2212<\/mo>15<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>O =\n\\begin{bmatrix}\n0 & 0 & 15 & 15 & 0 & 0 \\\\\n0 & 0 & 15 & 15 & 0 & 0 \\\\\n0 & 0 & 5 & 5 & 0 & 0 \\\\\n0 & 0 & -5 & -5 & 0 & 0 \\\\\n0 & 0 & -15 & -15 & 0 & 0 \\\\\n0 & 0 & -15 & -15 & 0 & 0\n\\end{bmatrix}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n
\n\n\n\n

(2) \u6700\u5927\u6c60\u5316 2\u00d72\uff0cstride=1<\/strong><\/h2>\n\n\n\n

\u5bf9 O \u8fdb\u884c 2\u00d72 \u6700\u5927\u6c60\u5316\uff0cstride=1\u3002
\u8f93\u5165 6\u00d76 \u2192 \u8f93\u51fa\u5c3a\u5bf8 (6-2+1)\u00d7(6-2+1) = 5\u00d75\u3002<\/p>\n\n\n\n

\u8ba1\u7b97\u5de6\u4e0a\u89d2\u7b2c\u4e00\u4e2a\u6c60\u5316\u7a97\u53e3 (\u884c 0~1, \u5217 0~1)\uff1a<\/p>\n\n\n\n

[<\/mo>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mspace>max<\/mi>\u2061<\/mo><\/mspace><\/mrow>=<\/mo>0<\/mn><\/mrow>\\begin{bmatrix}0&0\\\\0&0\\end{bmatrix} \\quad \\max = 0\n\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u7a97\u53e3 (\u884c 0~1, \u5217 1~2)\uff1a<\/p>\n\n\n\n

[<\/mo>0<\/mn><\/mtd>15<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>15<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mspace>max<\/mi>\u2061<\/mo><\/mspace><\/mrow>=<\/mo>15<\/mn><\/mrow>\\begin{bmatrix}0 & 15\\\\0 & 15\\end{bmatrix} \\quad \\max = 15<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u7a97\u53e3 (\u884c 0~1, \u5217 2~3)\uff1a<\/p>\n\n\n\n

[<\/mo>15<\/mn><\/mtd>15<\/mn><\/mtd><\/mtr>15<\/mn><\/mtd>15<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mspace>max<\/mi>\u2061<\/mo><\/mspace><\/mrow>=<\/mo>15<\/mn><\/mrow>\\begin{bmatrix}15 & 15\\\\15 & 15\\end{bmatrix} \\quad \\max = 15<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u7a97\u53e3 (\u884c 0~1, \u5217 3~4)\uff1a<\/p>\n\n\n\n

[<\/mo>15<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>15<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mspace>max<\/mi>\u2061<\/mo><\/mspace><\/mrow>=<\/mo>15<\/mn><\/mrow>\\begin{bmatrix}15 & 0\\\\15 & 0\\end{bmatrix} \\quad \\max = 15<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u7a97\u53e3 (\u884c 0~1, \u5217 4~5)\uff1a<\/p>\n\n\n\n

[<\/mo>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mspace>max<\/mi>\u2061<\/mo><\/mspace><\/mrow>=<\/mo>0<\/mn><\/mrow>\\begin{bmatrix}0 & 0\\\\0 & 0\\end{bmatrix} \\quad \\max = 0<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

\u8fd9\u662f\u7b2c\u4e00\u884c\u8f93\u51fa\uff085\u4e2a\u6570\uff09\u3002<\/p>\n\n\n\n

\u4f9d\u6b21\u7c7b\u63a8\uff0c\u89c2\u5bdf O \u7684\u7ed3\u6784\uff0c\u5217 2 \u548c \u52173 \u6709\u8f83\u5927\u503c\uff0c\u5176\u5b83\u5217\u4e3a 0\u3002<\/p>\n\n\n\n

\u9010\u884c\u6c60\u5316\uff08\u5feb\u901f\u770b\u6bcf 2\u00d72 \u5757\u6700\u5927\u503c\uff09\uff1a<\/p>\n\n\n\n

O \u77e9\u9635\u91cd\u590d\u6027\u5f88\u5f3a\uff0c\u53ef\u4ee5\u5206\u533a\uff1a<\/p>\n\n\n\n

    \n
  • \u6c60\u5316\u884c 0~1\uff08\u5bf9\u5e94 O \u7684 \u884c0\u884c1\uff09\uff1a
    \u5217\u5757 0~1: max(0,0,0,0)=0
    \u5217\u5757 1~2: max(0,15,0,15)=15
    \u5217\u5757 2~3: max(15,15,15,15)=15
    \u5217\u5757 3~4: max(15,0,15,0)=15
    \u5217\u5757 4~5: max(0,0,0,0)=0
    \u5f97 [0,15,15,15,0]<\/li>\n\n\n\n
  • \u6c60\u5316\u884c 1~2\uff08\u5bf9\u5e94 O \u7684 \u884c1\u884c2\uff09\uff1a
    \u5217\u57570~1:0
    \u5217\u57571~2: max(0,15,0,5)=15
    \u5217\u57572~3: max(15,15,15,5)=15
    \u5217\u57573~4: max(15,0,5,0)=15
    \u5217\u57574~5:0
    \u5f97 [0,15,15,15,0]<\/li>\n\n\n\n
  • \u6c60\u5316\u884c 2~3\uff08\u5bf9\u5e94 O \u7684\u884c2\u884c3\uff09\uff1a
    \u5217\u57570~1:0
    \u5217\u57571~2: max(0,5,0,-5)=5
    \u5217\u57572~3: max(5,5,5,-5)=5
    \u5217\u57573~4: max(5,0,-5,0)=5
    \u5217\u57574~5:0
    \u5f97 [0,5,5,5,0]<\/li>\n\n\n\n
  • \u6c60\u5316\u884c 3~4\uff08\u5bf9\u5e94 O \u7684\u884c3\u884c4\uff09\uff1a
    \u5217\u57570~1:0
    \u5217\u57571~2: max(0,-5,0,-15)=0
    \u5217\u57572~3: max(-5,-5,-15,-15)=-5
    \u5217\u57573~4: max(-5,0,-15,0)=0
    \u5217\u57574~5:0
    \u5f97 [0,0,-5,0,0]<\/li>\n\n\n\n
  • \u6c60\u5316\u884c 4~5\uff08\u5bf9\u5e94 O \u7684\u884c4\u884c5\uff09\uff1a
    \u5217\u57570~1:0
    \u5217\u57571~2: max(0,-15,0,-15)=0
    \u5217\u57572~3: max(-15,-15,-15,-15)=-15
    \u5217\u57573~4: max(-15,0,-15,0)=0
    \u5217\u57574~5:0
    \u5f97 [0,0,-15,0,0]<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    \u7b54\u6848 (2)<\/strong>\uff1a<\/p>\n\n\n\n

    O<\/mi>=<\/mo>[<\/mo>0<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>15<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>5<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>5<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr>0<\/mn><\/mtd>0<\/mn><\/mtd>\u2212<\/mo>15<\/mn><\/mrow><\/mtd>0<\/mn><\/mtd>0<\/mn><\/mtd><\/mtr><\/mtable>]<\/mo><\/mrow><\/mrow>O=\\begin{bmatrix}\n0 & 15 & 15 & 15 & 0 \\\\\n0 & 15 & 15 & 15 & 0 \\\\\n0 & 5 & 5 & 5 & 0 \\\\\n0 & 0 & -5 & 0 & 0 \\\\\n0 & 0 & -15 & 0 & 0\\end{bmatrix}\n<\/annotation><\/semantics><\/math><\/div>\n","protected":false},"excerpt":{"rendered":"

    \u8ba1\u7b97\u9898 \u8fd1\u5e74\u6765\uff0c\u6df1\u5ea6\u5b66\u4e60\u5728\u667a\u6167\u519c\u4e1a\u4e2d\u5f97\u5230\u4e86\u91cd\u8981\u5e94\u7528\u3002\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u79cd\u6df1\u5ea6\u5b66\u4e60\u7f51\u7edc,\u59821(a)\u6240\u793a,\u4e3a\u5355\u901a\u9053\u4e8c […]<\/p>\n","protected":false},"author":1,"featured_media":2897,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[65],"tags":[],"class_list":["post-4192","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-zafurgznjsyyy"],"_links":{"self":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/4192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/comments?post=4192"}],"version-history":[{"count":2,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/4192\/revisions"}],"predecessor-version":[{"id":4194,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/posts\/4192\/revisions\/4194"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media\/2897"}],"wp:attachment":[{"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/media?parent=4192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/categories?post=4192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.leexinghai.com\/aic\/wp-json\/wp\/v2\/tags?post=4192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}