图像分割基于FCM+KFCM MRI图像分割matlab源码含GUI

Posted 2021-06-05 博主QQ2449341593

一、简介

 

3 FCM算法原理
假定我们有数据集X，我们要对X中的数据进行分类，如果把这些数据划分成c个类的话，那么对应的就有c个类中心为Ci，每个样本Xj属于某一类Ci的隶属度定为Uij，那么定义一个FCM目标函数及其约束条件如下：


目标函数(式1)由相应样本的隶属度与该样本到各类中心的距离相乘组成的，式2为约束条件，也就是一个样本属于所有类的隶属度之和要为 1 。
式1中的m是一个隶属度的因子，一般为2 ，||Xj - Ci|| 表示Xj到中心点Ci的欧式距离。
目标函数J越小越好，说以我们要求得目标函数J的极小值，这里如何求极小值就不推导了（对推导感兴趣的可以看这篇文章：https://blog.csdn.net/on2way/article/details/47087201），直接给出结论：
Uij的迭代公式：

Ci的迭代公式：

我们发现Uij和Ci是相互关联的，彼此包含对方，那么问题来了，fcm算法开始的时候既没有Uij也没有Ci，那么如何求解呢？很简单，程序一开始的时候我们会随机生成一个Uij，只要数值满足条件即可，然后开始迭代，通过Uij计算出Ci，有了Ci又可以计算出Uij，反反复复，这个过程中目标函数J一直在变化，逐渐绉向稳定。那么当J不在变化时就认为算法收敛到一个较好的结果了。

 

二、源代码

function varargout = MainGUI(varargin)
% MAINGUI M-file for MainGUI.fig
%      MAINGUI, by itself, creates a new MAINGUI or raises the existing
%      singleton*.
%
%      HKFCMPARA = MAINGUI returns the handle to a new MAINGUI or the handle to
%      the existing singleton*.
%
%      MAINGUI('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in MAINGUI.M with the given input arguments.
%
%      MAINGUI('Property','Value',...) creates a new MAINGUI or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before MainGUI_OpeningFunction gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to MainGUI_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
 
% Copyright 2002-2003 The MathWorks, Inc.
% Edit the above text to modify the response to help MainGUI
% Last Modified by GUIDE v2.5 10-May-2005 12:20:34
 
% Author: Genial.Rong@USTC.P.R.C
% Email: [e-mail]
% URL:  http://genial.yculblog.com
 
 
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @MainGUI_OpeningFcn, ...
                   'gui_OutputFcn',  @MainGUI_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 MainGUI is made visible.
function MainGUI_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 MainGUI (see VARARGIN)
 
% Choose default command line output for MainGUI
handles.output = hObject;
 
% Update handles structure
guidata(hObject, handles);
 
% UIWAIT makes MainGUI wait for user response (see UIRESUME)
% uiwait(handles.MainFig);
 
% 日期时间显示
set(handles.timestr,'string',datestr(now,0));
htimer = timer('StartDelay',1,'TimerFcn',...
    'htimestr=findall(0,''tag'',''timestr'');set(htimestr,''string'',datestr(now,0));',...
    'Period',1,'ExecutionMode','fixedSpacing','tag','showtime');
start(htimer);
 
 
 
% --- Outputs from this function are returned to the command line.
function varargout = MainGUI_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 hslider_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hslider (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called
 
% Hint: slider controls usually have a light gray background.
if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor',[.9 .9 .9]);
end
 
 
 
% --- Executes during object creation, after setting all properties.
function hedit_fname_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_fname (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 during object creation, after setting all properties.
function hedit_heb_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_heb (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 during object creation, after setting all properties.
function hedit_xuhao_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_xuhao (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 during object creation, after setting all properties.
function hedit_zhishu_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_zhishu (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 during object creation, after setting all properties.
function hedit_zuixiao_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_zuixiao (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 during object creation, after setting all properties.
function hedit_cishu_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_cishu (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 during object creation, after setting all properties.
function hedit_leibie_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hedit_leibie (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 during object creation, after setting all properties.
function hmenu_CreateFcn(hObject, eventdata, handles)
% hObject    handle to hmenu (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 ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end

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