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});
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 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 saturn
img = saturn;
case 'Tire',
tire = [];
load imdemos tire
img = tire;
case 'Pout',
pout = [];
load imdemos pout
img = pout;
case 'Trees',
trees = [];
load imdemos trees
img = trees;
case 'Quarter',
quarter = [];
load imdemos quarter
img = quarter;
case 'Circuit',
circuit = [];
load imdemos circuit
img = circuit;
case 'Rice',
rice = [];
load imdemos rice
img = 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.
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