【图像修复】基于matlab GUI约束最小二乘方滤波图像复原【含Matlab源码 852期】

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二、约束最小二乘方滤波简介

约束最小二乘方滤波（Constrained Least Squares Filtering，aka Tikhonov filtration,Tikhonov regularization）核心是H对噪声的敏感性问题。减少噪声敏感新问题的一种方法是以平滑度量的最佳复原为基础的，因此我们可以建立下列约束条件：

三、部分源代码

function varargout = zuixiaoercheng(varargin)
% ZUIXIAOERCHENG M-file for zuixiaoercheng.fig
%      ZUIXIAOERCHENG, by itself, creates a new ZUIXIAOERCHENG or raises the existing
%      singleton*.
%
%      H = ZUIXIAOERCHENG returns the handle to a new ZUIXIAOERCHENG or the handle to
%      the existing singleton*.
%
%      ZUIXIAOERCHENG('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in ZUIXIAOERCHENG.M with the given input arguments.
%
%      ZUIXIAOERCHENG('Property','Value',...) creates a new ZUIXIAOERCHENG or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before zuixiaoercheng_OpeningFunction gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to zuixiaoercheng_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 zuixiaoercheng% Last Modified by GUIDE v2.5 20-May-2009 15:56:50% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...'gui_Singleton',  gui_Singleton, ...'gui_OpeningFcn', @zuixiaoercheng_OpeningFcn, ...'gui_OutputFcn',  @zuixiaoercheng_OutputFcn, ...'gui_LayoutFcn',  [] , ...'gui_Callback',   []);
if nargin & isstr(varargin{1})gui_State.gui_Callback = str2func(varargin{1});
endif nargout[varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
elsegui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT% --- Executes just before zuixiaoercheng is made visible.
function zuixiaoercheng_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 zuixiaoercheng (see VARARGIN)
img = imread('squarebox.bmp');
axes(handles.axes1);
imshow(img);
PSF = fspecial('motion',20,45);
MF = imfilter(img,PSF,'circular');
noise = imnoise(zeros(size(img)),'gaussian',0,0.01);
MF = double(MF);
MFN = MF+noise;
axes(handles.axes2);
imshow(uint8(MFN));
fr = deconvreg(MFN,PSF,4,[1e-7,1e7]);
axes(handles.axes3);
imshow(uint8(fr));
set(handles.noisepower_edit,'string',4);
% Choose default command line output for zuixiaoercheng
handles.output = hObject;% Update handles structure
guidata(hObject, handles);% UIWAIT makes zuixiaoercheng wait for user response (see UIRESUME)
% uiwait(handles.zuixiaoercheng);% --- Outputs from this function are returned to the command line.
function varargout = zuixiaoercheng_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;% --- Executes during object creation, after setting all properties.
function image_pop_menu_CreateFcn(hObject, eventdata, handles)
% hObject    handle to image_pop_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called% Hint: popupmenu controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispcset(hObject,'BackgroundColor','white');
elseset(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end% --- Executes on selection change in image_pop_menu.
function image_pop_menu_Callback(hObject, eventdata, handles)
% hObject    handle to image_pop_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
noisepower = str2num(get(handles.noisepower_edit,'string'));
val = get(hObject,'value');
str = get(hObject,'string');
switch str{val}case 'Squarebox'squarebox = [];squarebox = imread('squarebox.bmp');img = squarebox;case 'Lena'lena = [];lena = imread('lena.bmp');img = lena;case 'Saturn'saturn = [];load imdemos saturnimg = saturn;case 'Quarter'quarter = [];load imdemos quarterimg = quarter;case 'Circuit'circuit = [];load imdemos circuitimg = circuit;case 'Fingerprint'fingerprint = [];fingerprint = imread('fingerprint.jpg');img = fingerprint;case 'Licenceplate'licenceplate = [];licenceplate = imread('licenceplate.jpg');img = licenceplate;case 'Cloudy'cloudy = [];cloudy = imread('cloudy.tif');img = cloudy;
end
axes(handles.axes1);
imshow(img);
PSF = fspecial('motion',20,45);
MF = imfilter(img,PSF,'circular');
noise = imnoise(zeros(size(img)),'gaussian',0,0.01);
MF = double(MF);
MFN = MF+noise;
axes(handles.axes2);
imshow(uint8(MFN));
fr = deconvreg(MFN,PSF,noisepower,[1e-7,1e7]);
axes(handles.axes3);
imshow(uint8(fr));
% Hints: contents = get(hObject,'String') returns image_pop_menu contents as cell array
%        contents{get(hObject,'Value')} returns selected item from image_pop_menu% --- Executes during object creation, after setting all properties.
function noisepower_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to noisepower_edit (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 ispcset(hObject,'BackgroundColor','white');
elseset(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end

四、运行结果

五、matlab版本及参考文献

1 matlab版本
2014a

2 参考文献
[1] 蔡利梅.MATLAB图像处理——理论、算法与实例分析[M].清华大学出版社，2020.
[2]杨丹,赵海滨,龙哲.MATLAB图像处理实例详解[M].清华大学出版社，2013.
[3]周品.MATLAB图像处理与图形用户界面设计[M].清华大学出版社，2013.
[4]刘成龙.精通MATLAB图像处理[M].清华大学出版社，2015.
[5]陈浩,方勇,朱大洲,王成,陈子龙.基于蚁群算法的玉米植株热红外图像边缘检测[J].农机化研究. 2015,37(06)