一、简介

均值滤波是指任意一点的像素值,都是周围 【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波 个像素值的均值。例如下图中,红色点的像素值是其周围蓝色背景区域像素值之和除25,25=5【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_025 是蓝色区域的大小。

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_03

均值滤波详细的计算方法如下图所示:

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_04

其中5【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_025的矩阵称为,针对原始图像内的像素点,采用核进行处理,得到结果图像,如下图所示:

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_06

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_07

提取 1/25 可以将核转换为如下形式:

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_08

3 中值滤波

在使用邻域平均法去噪的同时也使得边界变得模糊。而中值滤波是非线性的图像处理方法,在去噪的同时可以兼顾到边界信息的保留。选一个含有奇数点的窗口【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_09,将这个窗口在图像上扫描,把窗口中所含的像素点按灰度级的升或降序排列,取位于中间的灰度值来代替该点的灰度值。计算过程如下图所示:

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_10

4 高斯滤波

为了克服简单局部平均法的弊端(图像模糊),目前已提出许多保持边缘、细节的局部平滑算法。它们的出发点都集中在如何选择邻域的大小、形状和方向、参数加平均及邻域各店的权重系数等。

图像高斯平滑也是邻域平均的思想对图像进行平滑的一种方法,在图像高斯平滑中,对图像进行平均时,不同位置的像素被赋予了不同的权重。高斯平滑与简单平滑不同,它在对邻域内像素进行平均时,给予不同位置的像素不同的权值,下图的所示的 3【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_023 和 5【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_025 邻域的高斯模板。

(1)核大小为 3【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_023

                                                                 【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_14

(1)核大小为 5【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_025

                                                                          【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_16

高斯滤波让临近的像素具有更高的重要度,对周围像素计算加权平均值,较近的像素具有较大的权重值。如下图所示,中心位置权重最高为0.4。

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_17

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_18

二、源代码

function varargout = ImageProcess(varargin)
% IMAGEPROCESS MATLAB code for ImageProcess.fig
%      IMAGEPROCESS, by itself, creates a new IMAGEPROCESS or raises the existing
%      singleton*.
%
%      H = IMAGEPROCESS returns the handle to a new IMAGEPROCESS or the handle to
%      the existing singleton*.
%
%      IMAGEPROCESS('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in IMAGEPROCESS.M with the given input arguments.
%
%      IMAGEPROCESS('Property','Value',...) creates a new IMAGEPROCESS or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before ImageProcess_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to ImageProcess_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES

% Edit the above text to modify the response to help ImageProcess

% Last Modified by GUIDE v2.5 28-May-2015 23:28:37

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @ImageProcess_OpeningFcn, ...
                   'gui_OutputFcn',  @ImageProcess_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end

if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT


% --- Executes just before ImageProcess is made visible.
function ImageProcess_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to ImageProcess (see VARARGIN)

% Choose default command line output for ImageProcess

global ImagesShownCnt;
ImagesShownCnt = 0;

set(handles.axes1,'visible','off')
set(handles.axes2,'visible','off')
set(handles.axes3,'visible','off')
set(handles.axes4,'visible','off')
set(handles.axes5,'visible','off')
set(handles.axes6,'visible','off')
set(handles.axesSrcImg,'visible','off')
setappdata(0,'thr',0.0);
handles.output = hObject;

% Update handles structure
guidata(hObject, handles);
% UIWAIT makes ImageProcess wait for user response (see UIRESUME)
% uiwait(handles.figure1);


% --- Outputs from this function are returned to the command line.
function varargout = ImageProcess_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get default command line output from handles structure
varargout{1} = handles.output;


% --------------------------------------------------------------------
function File_Callback(hObject, eventdata, handles)
% hObject    handle to File (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --------------------------------------------------------------------
function Open_Callback(hObject, eventdata, handles)
% hObject    handle to Open (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --------------------------------------------------------------------
function Save_Callback(hObject, eventdata, handles)
% hObject    handle to Save (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --------------------------------------------------------------------
function Save_As_Callback(hObject, eventdata, handles)
% hObject    handle to Save_As (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --- Executes on button press in pushbutton3.
function pushbutton3_Callback(hObject, eventdata, handles)
% hObject    handle to pushbutton3 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
global srcImg;
global dstImg;
global doubledstImg;
global doublesrcImg;
% IMGTYPE 
% 0  Gray
% 1  Color
global IMGTYPE;
[filename, pathname] = uigetfile({'*.bmp;*.jpg;*.png;*.jpeg;*.tif'},'Pick an image');
if isequal(filename,0)||isequal(pathname,0)
    return;
end
fpath=[pathname filename];
srcImg=imread(fpath);
axes(handles.axesSrcImg);
imshow(srcImg);
if length(size(srcImg))>2
    IMGTYPE = 1;
else
    IMGTYPE = 0;
end
dstImg = srcImg;
doubledstImg = im2double(dstImg);
doublesrcImg = im2double(srcImg);
%title('原始图像','fontsize',8);


% --- Executes on button press in pushbuttonSave.
function pushbuttonSave_Callback(hObject, eventdata, handles)
% hObject    handle to pushbuttonSave (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

function varargout = getthreshold(varargin)
% GETTHRESHOLD MATLAB code for getthreshold.fig
%      GETTHRESHOLD, by itself, creates a new GETTHRESHOLD or raises the existing
%      singleton*.
%
%      H = GETTHRESHOLD returns the handle to a new GETTHRESHOLD or the handle to
%      the existing singleton*.
%
%      GETTHRESHOLD('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in GETTHRESHOLD.M with the given input arguments.
%
%      GETTHRESHOLD('Property','Value',...) creates a new GETTHRESHOLD or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before getthreshold_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to getthreshold_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES

% Edit the above text to modify the response to help getthreshold

% Last Modified by GUIDE v2.5 25-May-2015 21:49:34

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @getthreshold_OpeningFcn, ...
                   'gui_OutputFcn',  @getthreshold_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end

if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT


% --- Executes just before getthreshold is made visible.
function getthreshold_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to getthreshold (see VARARGIN)

% Choose default command line output for getthreshold
handles.output = hObject;

% Update handles structure
guidata(hObject, handles);

% UIWAIT makes getthreshold wait for user response (see UIRESUME)
% uiwait(handles.figure1);


% --- Outputs from this function are returned to the command line.
function varargout = getthreshold_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get default command line output from handles structure
varargout{1} = handles.output;



function edit1_Callback(hObject, eventdata, handles)
% hObject    handle to edit1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Hints: get(hObject,'String') returns contents of edit1 as text
%        str2double(get(hObject,'String')) returns contents of edit1 as a double


% --- Executes during object creation, after setting all properties.
function edit1_CreateFcn(hObject, eventdata, handles)
% hObject    handle to edit1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end


% --- Executes on button press in pushbuttonDonoho.
function pushbuttonDonoho_Callback(hObject, eventdata, handles)
% hObject    handle to pushbuttonDonoho (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
global doubledstImg;
thresh = Donoho(doubledstImg);
set(handles.edit1,'string',num2str(thresh));
  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57.
  • 58.
  • 59.
  • 60.
  • 61.
  • 62.
  • 63.
  • 64.
  • 65.
  • 66.
  • 67.
  • 68.
  • 69.
  • 70.
  • 71.
  • 72.
  • 73.
  • 74.
  • 75.
  • 76.
  • 77.
  • 78.
  • 79.
  • 80.
  • 81.
  • 82.
  • 83.
  • 84.
  • 85.
  • 86.
  • 87.
  • 88.
  • 89.
  • 90.
  • 91.
  • 92.
  • 93.
  • 94.
  • 95.
  • 96.
  • 97.
  • 98.
  • 99.
  • 100.
  • 101.
  • 102.
  • 103.
  • 104.
  • 105.
  • 106.
  • 107.
  • 108.
  • 109.
  • 110.
  • 111.
  • 112.
  • 113.
  • 114.
  • 115.
  • 116.
  • 117.
  • 118.
  • 119.
  • 120.
  • 121.
  • 122.
  • 123.
  • 124.
  • 125.
  • 126.
  • 127.
  • 128.
  • 129.
  • 130.
  • 131.
  • 132.
  • 133.
  • 134.
  • 135.
  • 136.
  • 137.
  • 138.
  • 139.
  • 140.
  • 141.
  • 142.
  • 143.
  • 144.
  • 145.
  • 146.
  • 147.
  • 148.
  • 149.
  • 150.
  • 151.
  • 152.
  • 153.
  • 154.
  • 155.
  • 156.
  • 157.
  • 158.
  • 159.
  • 160.
  • 161.
  • 162.
  • 163.
  • 164.
  • 165.
  • 166.
  • 167.
  • 168.
  • 169.
  • 170.
  • 171.
  • 172.
  • 173.
  • 174.
  • 175.
  • 176.
  • 177.
  • 178.
  • 179.
  • 180.
  • 181.
  • 182.
  • 183.
  • 184.
  • 185.
  • 186.
  • 187.
  • 188.
  • 189.
  • 190.
  • 191.
  • 192.
  • 193.
  • 194.
  • 195.
  • 196.
  • 197.
  • 198.
  • 199.
  • 200.
  • 201.
  • 202.
  • 203.
  • 204.
  • 205.
  • 206.
  • 207.
  • 208.
  • 209.
  • 210.
  • 211.
  • 212.
  • 213.
  • 214.
  • 215.
  • 216.
  • 217.
  • 218.
  • 219.
  • 220.
  • 221.
  • 222.
  • 223.
  • 224.
  • 225.
  • 226.
  • 227.
  • 228.
  • 229.
  • 230.
  • 231.
  • 232.
  • 233.
  • 234.
  • 235.
  • 236.
  • 237.
  • 238.
  • 239.
  • 240.
  • 241.
  • 242.
  • 243.
  • 244.
  • 245.
  • 246.
  • 247.
  • 248.
  • 249.
  • 250.
  • 251.
  • 252.
  • 253.
  • 254.
  • 255.
  • 256.
  • 257.
  • 258.

三、运行结果

【图像去噪】均值滤波+中值滤波+高斯低通滤波+多种小波变换图像去噪matlab源码GUI_均值滤波_19