工件检测问题~~~紧急求教，谢谢拉。！！

lrs

< ><FONT size=3>某工件为圆形<FONT face="Times New Roman">, </FONT>半径为</FONT><FONT face="Times New Roman" size=3>10mm</FONT><v:shapetype><FONT face="Times New Roman"><FONT size=3> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path gradientshapeok="t" connecttype="rect" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></lock></FONT></FONT></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape><FONT face="Times New Roman" size=3>0.1mm, </FONT><FONT size=3>超出此范围即为次品<FONT face="Times New Roman">. </FONT>测量仪器自动在每个工件的圆周上测量<FONT face="Times New Roman">36</FONT>个数据<FONT face="Times New Roman">. </FONT>假定测量出的二维数据</FONT><FONT face="Times New Roman" size=3> (</FONT><v:shape><FONT face="Times New Roman"><FONT size=3> <v:imagedata></v:imagedata></FONT></FONT></v:shape><FONT face="Times New Roman" size=3>, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>) </FONT><FONT size=3>是足够精确的<FONT face="Times New Roman">, </FONT>要求建立一个合理的检验正<FONT face="Times New Roman">/</FONT>次品的模型<FONT face="Times New Roman">, </FONT>对每个工件的<FONT face="Times New Roman">36</FONT>个数据进行计算后给出判断。</FONT><FONT size=3><FONT face="Times New Roman"> <p></p></FONT></FONT></P>
< ><FONT size=3>第一个工件中<FONT face="Times New Roman"> </FONT></FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 31.270, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 34.290, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 31.227, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 36.554, </FONT><FONT size=3>……</FONT><FONT face="Times New Roman" size=3>, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 30.964, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 31.517, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 31.105, </FONT><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape><FONT face="Times New Roman" size=3>= 32.743</FONT><FONT size=3>。</FONT></P>
< ><FONT face="Times New Roman"><FONT size=3> </FONT></FONT><FONT size=3>第一个工件</FONT></P>
<DIV align=center>
<TABLE  cellSpacing=0 cellPadding=0 border=0>

<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">31.270 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">34.290</FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 31.227 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 36.554 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 30.660 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 38.205</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">30.276 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 39.375 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 29.134 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 40.928 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 27.808 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 42.317</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">26.078 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 43.503 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 24.928 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 43.922 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 22.922 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 44.478</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">21.188 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 44.713 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 19.454 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 44.459 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 18.096 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 44.126</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">16.016 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 43.195 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 14.963 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 42.265 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 13.513 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 40.770</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">12.954 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 39.891 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 11.957 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 38.060 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 11.578 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 36.186</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">11.420 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 34.289 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 11.555 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 32.551 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 12.162 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 30.919</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">12.732 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 29.450 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 13.963 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 27.973 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 14.615 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 27.141</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">16.495 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 25.853 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 17.972 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 25.318 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 19.971 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 24.728</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">21.712 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 24.648 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 23.274 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 24.806 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 24.441 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 25.166</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">26.647 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 26.181 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 27.860 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 27.163 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 28.981 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 28.244</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman">30.202 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 29.937 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 30.964 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 31.517 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 31.105 </FONT></P></TD>
<TD  vAlign=top width=85>
<P  align=right><FONT face="Times New Roman"> 32.743</FONT></P></TD></TR></TABLE></DIV>
<P ><FONT face="Times New Roman"><FONT size=3> <p></p></FONT></FONT></P>

lrs

<>其中二维数据为（x,y）..........请问，X，Y代表什么意思，当Y为负数的时候代表什么。~~</P>
<>谢谢了。</P>

yupengqi

坐标啊，ＳＢ

Zacard

<>用数学拟和</P>

abstruct11

呵呵，长沙理工的学生吧.还蛮快的啊.不过很遗憾,拟和的方法是不行的,它只能够反映大多数点的变化趋势,但,不能够精确到点,我想到了好的方法了.呵呵

lzz50648483

hahhaa 拟合怎么就不行呢？？？

zxh21st

<>这个题目我做过</P>
<>效果相当好</P>
<>你可以建立一个同心圆环模型，然后用MATLAB最大最小函数优化求出精确的圆心，然后再根据约束条件判断哪些是正品和次品...</P>
<P>我当时做的数据，好象1、4是正品，2、3是次品...</P>
<P>不知道你这里数据有没有修改</P>
<P>我当时做的效果应该相当不错，还有一个评价的指标，是3DET法则的改进</P>

zxh21st

<>数据拟合和网格搜索都不好</P>
<>会出现误判的，我2年前都证明过的</P>
<>而且数据 拟合不能严格严格证明该题</P>
<P>其实我上面说的模型只是很粗略的</P>
<P>其实就是用最优化来判的，也许你根本想不通，其实当时我发表时也没有几个人明白</P>
<P>具体你自己去领悟吧</P>
<P>其他的不多说了</P>

whpengxg

这是一个非线性规划问题,决策变量为圆环的圆心;1,4是好的;2,3,5不行

103549730

能不能搞出模型来吗?