【图像几何】基于matlab GUI图像拉东变换【含Matlab源码 848期】

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二、拉东变换简介

两维情况下radon变换大致可以这样理解：一个平面内沿不同的直线（直线与原点的距离为d，方向角为alfa）对f（x，y）做线积分，得到的像F(d,alfa)就是函数f的Radon变换。也就是说，平面（d，alfa）的每个点的像函数值对应了原始函数的某个线积分值。一个更直观的理解是，假设你的手指被一个很强的平行光源透射，你迎着光源看到的手指图像就是手指的光衰减系数的三维Radon变换（小小的推广）在给定方向（两个角坐标）的时候的值。

三、部分源代码

function varargout = Radon_trans(varargin)
% RADON_TRANS M-file for Radon_trans.fig
%      RADON_TRANS, by itself, creates a new RADON_TRANS or raises the existing
%      singleton*.
%
%      H = RADON_TRANS returns the handle to a new RADON_TRANS or the handle to
%      the existing singleton*.
%
%      RADON_TRANS('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in RADON_TRANS.M with the given input arguments.
%
%      RADON_TRANS('Property','Value',...) creates a new RADON_TRANS or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before Radon_trans_OpeningFunction gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to Radon_trans_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 Radon_trans% Last Modified by GUIDE v2.5 12-Jun-2009 20:15:52% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...'gui_Singleton',  gui_Singleton, ...'gui_OpeningFcn', @Radon_trans_OpeningFcn, ...'gui_OutputFcn',  @Radon_trans_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 Radon_trans is made visible.
function Radon_trans_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 Radon_trans (see VARARGIN)
axes(handles.axes1);
img=imread('lena.bmp');
imshow(img);
axes(handles.axes2);
theta=0:180;
[R,xp]=radon(img,theta);
imagesc(theta,xp,R);
axes(handles.axes3);
[R,xp]=radon(img,[0 45]);
plot(xp,R(:,1));
axes(handles.axes4);
[R,xp]=radon(img,[0 45]);
plot(xp,R(:,2));
% Choose default command line output for Radon_trans
handles.output = hObject;% Update handles structure
guidata(hObject, handles);% UIWAIT makes Radon_trans wait for user response (see UIRESUME)
% uiwait(handles.figure1);% --- Outputs from this function are returned to the command line.
function varargout = Radon_trans_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 popupmenu1_CreateFcn(hObject, eventdata, handles)
% hObject    handle to popupmenu1 (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 popupmenu1.
function popupmenu1_Callback(hObject, eventdata, handles)
% hObject    handle to popupmenu1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)% Hints: contents = get(hObject,'String') returns popupmenu1 contents as cell array
%        contents{get(hObject,'Value')} returns selected item from popupmenu1
val=get(hObject,'value');
str=get(hObject,'string');
switch str{val};case 'lena'lena = [];lena = imread('lena.bmp');img = lena;case 'cameraman'cameraman=[];cameraman=imread('cameraman.tif');img=cameraman;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);
axes(handles.axes2);
theta=0:180;
[R,xp]=radon(img,theta);
imagesc(theta,xp,R);
axes(handles.axes3);
[R,xp]=radon(img,[0 45]);
plot(xp,R(:,1));
axes(handles.axes4);
[R,xp]=radon(img,[0 45]);
plot(xp,R(:,2));% --- 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(Radon_trans);

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)