【图像几何】基于傅里叶+DCT图像变换matlab代码

1 简介

快速傅立叶变换(FFT)改进了离散傅立叶变换(DFT)的计算过程,被广泛应用于数字图像的实时处理中.在相位相关技术的基础上,提出了一种新的图像配准算法,即在需要配准的两幅图像中心选取相同区域大小,进行傅里叶梅林变换,变换后是一个二维脉冲信号,由此而得到图像配准参数.实验结果表明了该算法的有效性和可靠性.

2 部分代码

function varargout = fushidctbianhuan(varargin)
% FUSHIDCTBIANHUAN M-file for fushidctbianhuan.fig
%     FUSHIDCTBIANHUAN, by itself, creates a new FUSHIDCTBIANHUAN or raises the existing
%     singleton*.
%
%     H = FUSHIDCTBIANHUAN returns the handle to a new FUSHIDCTBIANHUAN or the handle to
%     the existing singleton*.
%
%     FUSHIDCTBIANHUAN('CALLBACK',hObject,eventData,handles,...) calls the local
%     function named CALLBACK in FUSHIDCTBIANHUAN.M with the given input arguments.
%
%     FUSHIDCTBIANHUAN('Property','Value',...) creates a new FUSHIDCTBIANHUAN or raises the
%     existing singleton*. Starting from the left, property value pairs are
%     applied to the GUI before fushidctbianhuan_OpeningFunction gets called. An
%     unrecognized property name or invalid value makes property application
%     stop. All inputs are passed to fushidctbianhuan_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 fushidctbianhuan% Last Modified by GUIDE v2.5 06-Apr-2014 17:16:14% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...'gui_Singleton',  gui_Singleton, ...'gui_OpeningFcn', @fushidctbianhuan_OpeningFcn, ...'gui_OutputFcn',  @fushidctbianhuan_OutputFcn, ...'gui_LayoutFcn', [] , ...'gui_Callback',   []);
if nargin && ischar(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 fushidctbianhuan is made visible.
function fushidctbianhuan_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 fushidctbianhuan (see VARARGIN)
axes(handles.axes1);
img=imread('lena.bmp');
imshow(img);
axes(handles.axes2);
imgf=double(img);
imgs=fftshift(fft2(imgf));
imshow(log(1+abs(imgs)),[]);
set(handles.dct_radiobutton,'value',0);
set(handles.fft_radiobutton,'value',1);
% Choose default command line output for fushidctbianhuan
handles.output = hObject;% Update handles structure
guidata(hObject, handles);% UIWAIT makes fushidctbianhuan wait for user response (see UIRESUME)
% uiwait(handles.figure1);% --- Outputs from this function are returned to the command line.
function varargout = fushidctbianhuan_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 on button press in fft_radiobutton.
function fft_radiobutton_Callback(hObject, eventdata, handles)
% hObject   handle to fft_radiobutton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)
set(handles.dct_radiobutton,'value',0);
set(handles.fft_radiobutton,'value',1);
img = getimage(handles.axes1);
axes(handles.axes2);
imgf=double(img);
imgs=fftshift(fft2(imgf));
imshow(log(1+abs(imgs)),[]);
set(handles.text2,'string','傅立叶变换谱');
set(handles.text2,'fontsize',12);
set(handles.text2,'fontname','宋体');
set(handles.text2,'fontweight','bold');% Hint: get(hObject,'Value') returns toggle state of fft_radiobutton% --- Executes on button press in dct_radiobutton.
function dct_radiobutton_Callback(hObject, eventdata, handles)
% hObject   handle to dct_radiobutton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)
set(handles.dct_radiobutton,'value',1);
set(handles.fft_radiobutton,'value',0);
img = getimage(handles.axes1);
axes(handles.axes2);
imgd=img;
imgs=dct2(imgd);
imshow(log(abs(imgs)));
set(handles.text2,'string','DCT变换系数');
set(handles.text2,'fontsize',12);
set(handles.text2,'fontname','宋体');
set(handles.text2,'fontweight','bold');
% Hint: get(hObject,'Value') returns toggle state of dct_radiobutton% --- Executes on button press in close_button.
function close_button_Callback(hObject, eventdata, handles)
% hObject   handle to close_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)
close(fushidctbianhuan);% --- Executes on selection change in fft_dct_pop.
function fft_dct_pop_Callback(hObject, eventdata, handles)
% hObject   handle to fft_dct_pop (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)
val=get(hObject,'value');
str=get(hObject,'string');
switch str{val};case 'lena'lena = [];lena = imread('lena.bmp');img = lena;case 'Saturn',saturn = [];load imdemos saturnimg = saturn;case 'Tire',tire = [];load imdemos tireimg = tire;case 'Pout',pout = [];load imdemos poutimg = pout;case 'Trees',trees = [];load imdemos treesimg = trees;case 'Quarter',quarter = [];load imdemos quarterimg = quarter;case 'Circuit',circuit = [];load imdemos circuitimg = circuit;case 'Rice',rice = [];load imdemos riceimg = rice;case 'Fingerprint'fingerprint = [];fingerprint = imread('fingerprint.jpg');img = fingerprint;case 'Licenceplate'licenceplate = [];licenceplate = imread('licenceplate.jpg');img = licenceplate;case 'Haze'haze = [];haze = imread('haze.jpg');img = haze;case 'Cloudy'cloudy = [];cloudy = imread('cloudy.tif');img = cloudy;
end
axes(handles.axes1);
imshow(img);
control=get(handles.fft_radiobutton,'value');
switch control;case 1,axes(handles.axes2);imgf=double(img);imgs=fftshift(fft2(imgf));imshow(log(1+abs(imgs)),[]);set(handles.text2,'string','傅立叶变换谱');set(handles.text2,'fontsize',12);set(handles.text2,'fontname','宋体');set(handles.text2,'fontweight','bold');case 0,axes(handles.axes2);imgd=img;imgs=dct2(imgd);imshow(log(abs(imgs)));set(handles.text2,'string','DCT变换系数');set(handles.text2,'fontsize',12);set(handles.text2,'fontname','宋体');set(handles.text2,'fontweight','bold');
end
% Hints: contents = get(hObject,'String') returns fft_dct_pop contents as cell array
%       contents{get(hObject,'Value')} returns selected item from fft_dct_pop% --- Executes during object creation, after setting all properties.
function fft_dct_pop_CreateFcn(hObject, eventdata, handles)
% hObject   handle to fft_dct_pop (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% --- Executes during object creation, after setting all properties.
function close_button_CreateFcn(hObject, eventdata, handles)
% hObject   handle to close_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   empty - handles not created until after all CreateFcns called% --- Executes during object deletion, before destroying properties.
function close_button_DeleteFcn(hObject, eventdata, handles)
% hObject   handle to close_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)% --- If Enable == 'on', executes on mouse press in 5 pixel border.
% --- Otherwise, executes on mouse press in 5 pixel border or over close_button.
function close_button_ButtonDownFcn(hObject, eventdata, handles)
% hObject   handle to close_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)% --- Executes on key press over close_button with no controls selected.
function close_button_KeyPressFcn(hObject, eventdata, handles)
% hObject   handle to close_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles   structure with handles and user data (see GUIDATA)

3 仿真结果

4 参考文献

[1]陈芳民, 李馨迟, 付明,等. 基于MATLAB的傅里叶梅林变换算法图像拼接的实现[J]. 首都师范大学学报：自然科学版, 2009(S1):4.

博主简介：擅长智能优化算法、神经网络预测、信号处理、元胞自动机、图像处理、路径规划、无人机等多种领域的Matlab仿真，相关matlab代码问题可私信交流。

部分理论引用网络文献，若有侵权联系博主删除。

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