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 GUIDEs 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); imgimread(lena.bmp); imshow(img); axes(handles.axes2); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgdimg; imgsdct2(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) valget(hObject,value); strget(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); controlget(handles.fft_radiobutton,value); switch control; case 1, axes(handles.axes2); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgdimg; imgsdct2(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。 
长河君 · 2026/8/4 23:34:57 · 阅读 1.2k 【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 GUIDEs 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); imgimread(lena.bmp); imshow(img); axes(handles.axes2); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgdimg; imgsdct2(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) valget(hObject,value); strget(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); controlget(handles.fft_radiobutton,value); switch control; case 1, axes(handles.axes2); imgfdouble(img); imgsfftshift(fft2(imgf)); imshow(log(1abs(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); imgdimg; imgsdct2(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。