matlab编的有关EMD去噪的程序,处理的是核磁共振测井信号,急求

matlab编的有关EMD去噪的程序,处理的是核磁共振测井信号,急求,第1张

function imf = emd(x,n)%%最好把函数名改为emd1之类的,以免和Grilling的emd冲突

%%n为你想得到的IMF的个数

c = x('% copy of the input signal (as a row vector)

N = length(x)-

% loop to decompose the input signal into n successive IMFs

imf = []% Matrix which will contain the successive IMF, and the residuefor t=1:n

% loop on successive IMFs

%-------------------------------------------------------------------------

% inner loop to find each imf

h = c% at the beginning of the sifting process, h is the signal

SD = 1% Standard deviation which will be used to stop the sifting process

while SD >0.3 % while the standard deviation is higher than 0.3 (typical value) %%筛选停止准则

% find local max/min points

d = diff(h)% approximate derivative %%求各点导数

maxmin = []% to store the optima (min and max without distinction so far)

for i=1:N-2

if d(i)==0% we are on a zero %%导数为0的点,即”驻点“,但驻点不一定都是极值点,如y=x^3的x=0处

if sign(d(i-1))~=sign(d(i+1)) % it is a maximum %%如果驻点两侧的导数异号(如一边正,一边负),那么该点为极值点

maxmin = [maxmin, i]%%找到极值点在信号中的坐标(不分极大值和极小值点)

end

elseif sign(d(i))~=sign(d(i+1)) % we are straddling a zero so%%如y=|x|在x=0处是极值点,但该点倒数不存在,所以不能用上面的判

断方法

maxmin = [maxmin, i+1] % define zero as at i+1 (not i) %%这里提供了另一类极值点的判断方法

end

end

if size(maxmin,2) <2 % then it is the residue %%判断信号是不是已经符合残余分量定义

break

end

% divide maxmin into maxes and mins %% 分离极大值点和极小值点

if maxmin(1)>maxmin(2) % first one is a max not a min

maxes = maxmin(1:2:length(maxmin))

mins = maxmin(2:2:length(maxmin))

else% is the other way around

maxes = maxmin(2:2:length(maxmin))

mins = maxmin(1:2:length(maxmin))

end% make endpoints both maxes and mins

maxes = [1 maxes N]

mins = [1 mins N]

%------------------------------------------------------------------------- % spline interpolate to get max and min envelopesform imf

maxenv = spline(maxes,h(maxes),1:N) %%用样条函数插值拟合所有的极大值点

minenv = spline(mins, h(mins),1:N)%%用样条函数插值拟合所有的极小值点

m = (maxenv + minenv)/2% mean of max and min enveloppes %%求上下包络的均值

prevh = h% copy of the previous value of h before modifying it %%h为分解前的信号

h = h - m% substract mean to h %% 减去包络均值

% calculate standard deviation

eps = 0.0000001% to avoid zero values

SD = sum ( ((prevh - h).^2) ./ (prevh.^2 + eps) )%% 计算停止准则

end

imf = [imfh]% store the extracted IMF in the matrix imf

% if size(maxmin,2)<2, then h is the residue

% stop criterion of the algo. if we reach the end before n

if size(maxmin,2) <2

break

end

c = c - h% substract the extracted IMF from the signal

end

return

clcclear allclose all

[FileName,PathName,FilterIndex]=uigetfile('C:\Users\zhaobo\Desktop\001.jpg')

im=[PathName FileName]%%获取文件路径和文件名

I1=imread(im)%%根据路径和文件名读取图片到I1

figure,imshow(I1)%%显示I1

gray=rgb2gray(I1)%%灰度化

%figure,imshow(gray)

he=double(im2bw(gray,200/256))%用200/256这个阈值对灰度化图像进行阈值分割得到二值图像;然后转化为double类型

figure,imshow(he)

BW = edge(he)%%边缘检测得到二值图像边缘,也就是文字边缘

%BW = edge(he,'zerocross')

BW=double(im2bw(BW,200/256))%%重新二值化,转化为double

figure,imshow(BW)

%figure,imhist(gray)

[r_max c_max]=size(gray)%%获取图片高宽

m=zeros(r_max,c_max)%%建立图片等大小全零矩阵

for i=1:r_max

n=BW(i,:)

p=findpeaks(n)%%找出每一行的峰值

count=sum(p)%%峰值求和

if (count>8)

m(i,:)=n%%保存有峰值的行到m

end

end

%figure,imshow(m)

mm=m

for i=1:c_max%%此段和上面原理一样,求列的峰值

n=BW(:,i)

p=findpeaks(n)

count=sum(n)

if (count>5)||(count<3)

mm(:,i)=zeros(1:200,1)%%存在峰值的列保存到mm中

end

end

mm=double(im2bw(mm,200/256))%%对列峰值进行二值化

B=ones(3)%%B为[1 1 1]的转置

D=imdilate(mm,B)%%利用结构元素B膨胀

C=imerode(D,B,3)%%利用3行3列的结构元素腐蚀,膨胀腐蚀的过程是为了连通断线,使文字区域变成整块

补充locate方程......

function [up, down, left, right]=locate(g)

[m,n]=size(g)

for countm=1:1:m, %%%%%%up%%寻找文字形成的方块的最高点坐标

for countn=1:1:n,

if g(countm,countn)==1,

up=countm%%记录最高点

break

end

end

if countn~=n,

break

end

countn=1

end

for countm=m:-1:1,%%%%%down

for countn=1:1:n,

if g(countm,countn)==1,%%寻找最底点的坐标

down=countm

break

end

end

if countn~=n,

break

end

countn=1

end

for countn=1:1:n, %%%%%%left

for countm=1:1:m,

if g(countm,countn)==1,

left=countn%%寻找最左坐标

break

end

end

if countm~=m,

break

end

countm=1

end

for countn=n:-1:1, %%%%%%right

for countm=1:1:m,

if g(countm,countn)==1,%%寻找最右坐标

right=countn

break

end

end

if countm~=m,

break

end

countm=1

end


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