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| ~云淡风忆~ | 2012-04-27 10:54 |  
| 用matlab模拟这个半球,程序不是很复杂,最后误差精度达不到要求,求解答,急。
*gC6yQ2? close all;clear all;clc ;Qc_Tf=,
 N=512;x=1:N; GJY7vS^#
 y=1:N;[x,y]=meshgrid(x,y);R=240;r=90; T.zUerbO
 z=zeros(N); \$Nx`daFi
 for i=1:N  *@r)3
 for j=1:N q|.
X[~e|
 if(sqrt((i-N/2)^2+(j-N/2)^2)<sqrt(R*R-r*r)) xhIC["z5
 z(i,j)=.25*((sqrt(R*R-(i-N/2).*(i-N/2)-(j-N/2).*(j-N/2))-r));  %%%%修改第一个乘号前面的数字 wU#79:h
 end Yl+r>+^
 end bb6J$NR
 end YoKY&i6r}
 z=0.02*z; Y.qlY3iBp
 figure,mesh(z);xlabel('x'),ylabel('y'),zlabel('z') %%%物体的显示,三维  =M'y& iz-
 f0=0.01;%%%----------------光栅条纹的频率即周期的倒数1/T--------------------------%% lk6*?EJ
 a=2*pi*x*f0; <=*xwI&q
 cowx=(-1).*(-1).^floor(a/pi).*(2*a/pi-(2*floor(a/pi)+1)); &zr..i4O
 sowx=(-1).^round(a/pi).*(2*a/pi-2*round(a/pi)); c"3 a,&
 noise=0; YN
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 i01=0.5+0.5*cowx+noise.*rand(size(z));%%%-----------投影的正弦条纹图,以下分别为相移后的条纹图,4步相移,共4帧 8#w}wGV*
 i02=0.5-0.5*sowx+noise.*rand(size(z)); H1'`* 
}V
 i03=0.5-0.5*cowx+noise.*rand(size(z)); MH`H[2<\!,
 i04=0.5+0.5*sowx+noise.*rand(size(z)); 42?X)n>
 figure,imshow(i01);%%%光栅条纹的图像 `n]y"rj'
 % axis off;imwrite(i01,'C:\Documents and Settings\Administrator\My Documents\My Pictures\1.bmp','bmp'); P"%i 4-S
 figure,imshow(i02);%%%光栅条纹的图像 \5$N>
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 % axis off;imwrite(i02,'C:\Documents and Settings\Administrator\My Documents\My Pictures\2.bmp','bmp'); 6<+R55
 figure,imshow(i03);%%%光栅条纹的图像 ,o}!pQ
 % axis off;imwrite(i03,'C:\Documents and Settings\Administrator\My Documents\My Pictures\3.bmp','bmp'); qHfs*MBJ%
 figure,imshow(i04);%%%光栅条纹的图像 y_$=Pu6H
 % axis off;imwrite(i04,'C:\Documents and Settings\Administrator\My Documents\My Pictures\4.bmp','bmp'); h:3`e`J<h
 % q2=-atan2((i01*sin(0*pi/4)+i02*sin(2*pi/4)+i03*sin(4*pi/4)+i04*sin(6*pi/4)),(i01*cos(0*pi/4)+i02*cos(2*pi/4)+i03*cos(4*pi/4)+i04*cos(6*pi/4))); QW.VAF\6*
 q2=atan2((i04-i02),(i01-i03)); sH(AsKiNKe
 figure,mesh(q2);xlabel('x'),ylabel('y'),zlabel('z')%-----------q2为通过公式计算出的相位,被截断在幅角主值范围内 EnJAHgRV;e
 %%%-------------------------------------%% Y%b
5{1
 temp=ones(size(q2)); 5rqjqfFa
 q21=LingXingUnwrap2(q2,temp,100,100);%%%--------------------进行相位展开,成为展开的相位,应该为一斜面--------------- W
:PGj0?
 figure,mesh(q21); #_}lF<k
 % q21=my_unwrap(q2); SnRTC<DDh
 b=2*pi*f0*x+2*pi*z; %Ysu613mz
 cowx=(-1).*(-1).^floor(b/pi).*(2*b/pi-(2*floor(b/pi)+1)); 2P8JLT*Tj
 sowx=(-1).^round(b/pi).*(2*b/pi-2*round(b/pi)); R/M:~h~F!
 i1=0.5+0.5*cowx+noise.*rand(size(z));%%%%-------------投影到物体上的变形光栅像----------------------- )p>BN|L
 figure,imshow(i1)%%%携带物体信息的变形光栅条纹的图像 t nz
BNW8
 % axis off;imwrite(i1,'C:\Documents and Settings\Administrator\My Documents\My Pictures\5.bmp','bmp'); ul+
+h4N
 i2=0.5-0.5*sowx+noise.*rand(size(z)); .9WJ/RKZ\D
 figure,imshow(i2)%%%携带物体信息的变形光栅条纹的图像 d{@X-4k:
 % axis off;imwrite(i2,'C:\Documents and Settings\Administrator\My Documents\My Pictures\6.bmp','bmp'); h3D8eR.
 i3=0.5-0.5*cowx+noise.*rand(size(z)); C:g2E[#
 figure,imshow(i3)%%%携带物体信息的变形光栅条纹的图像 '2a }1?
 % axis off;imwrite(i3,'C:\Documents and Settings\Administrator\My Documents\My Pictures\7.bmp','bmp'); zPU&
}7
 i4=0.5+0.5*sowx+noise.*rand(size(z)); @6>R/]
 figure,imshow(i4)%%%携带物体信息的变形光栅条纹的图像 \Nu(+G?e
 % axis off;imwrite(i4,'C:\Documents and Settings\Administrator\My Documents\My Pictures\8.bmp','bmp'); |n3PznV
 %q1=-atan2((i1*sin(0*pi/4)+i2*sin(2*pi/4)+i3*sin(pi)+i4*sin(6*pi/4)),(i1*cos(0*pi/4)+i2*cos(2*pi/4)+i3*cos(pi)+i4*cos(6*pi/4))); ,b=&iDc
 q1=atan2((i4-i2),(i1-i3)); *TA${$K
 figure,mesh(q1);xlabel('x'),ylabel('y'),zlabel('z') %-----------q1为通过公式计算出的携带物体信息的相位,被截断在幅角主值范围内 n*%<!\gJ
 6TxZ^&=
 q11=LingXingUnwrap2(q1,temp,100,100);%%%------携带物体信息的连续相位分布,此图像应为斜面上有高度起伏的现象的一幅图------------------%% Qw.""MLmN8
 % q11=my_unwrap(q1);  ?'p`Qv
 figure,mesh(q11); 2"C'Au
 %%%------------------------------------%% &"fMiK3
 % qq=q11-q21;         b=qq./(2*pi);       K	IiV z<
 % wu=qq./(2*pi)-z; )JTh=w4n|z
 b=(q11-q21)./(2*pi); n8Jx;j
 wu=(q11-q21)./(2*pi)-z; HFBGM\R02
 %err2=max(max(wu)) zv!%u=49
 figure,mesh(q21);xlabel('x'),ylabel('y'),zlabel('z')%%%--------------------参考面展开的相位,应该为一斜面--------------- Qv,|*bf
 figure,mesh(q11);xlabel('x'),ylabel('y'),zlabel('z')%%%------携带物体信息的连续相位分布,此图像应为斜面上有高度起伏的现象的一幅图---%% =M)>w4-
 figure,mesh(b);xlabel('x'),ylabel('y'),zlabel('z')%%%恢复的物体 UXoaUW	L
 figure,mesh(wu);xlabel('x'),ylabel('y'),zlabel('z')%%%测量误差
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