1 简介

Radon变换 (包括线性、抛物 Radon变换 )是地震数据处理中的一种强有力工具。作者在文中阐述了其原理及最小平方算法 ,并给出了 MATLAB语言编写的源码。试算结果表明了该算法的有效性和程序的正确性。该程序可直接当作工具来使用。

2 部分代码

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});
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 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 ispc
    set(hObject,'BackgroundColor','white');
else
% --- 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);

3 仿真结果

4 参考文献

[1]沈操, 牛滨华, 余钦范. Radon变换的MATLAB实现[J]. 物探化探计算技术, 2000, 22(4):6.

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