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该博客介绍了如何使用快速傅里叶变换(FFT)进行图像压缩。作者提供了MATLAB代码示例,包括读取图像、进行FFT处理、压缩系数设定、逆FFT还原图像等步骤,并展示了压缩前后图像的对比。此外,还计算了重构图像与原始图像的误差均方根(RMSE)。

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1 简介

基于FFT实现图像压缩​

2 部分代码

function varargout = fft_encoding(varargin)% FFT_ENCODING M-file for fft_encoding.fig%      FFT_ENCODING, by itself, creates a new FFT_ENCODING or raises the existing%      singleton*.%%      H = FFT_ENCODING returns the handle to a new FFT_ENCODING or the handle to%      the existing singleton*.%%      FFT_ENCODING('CALLBACK',hObject,eventData,handles,...) calls the local%      function named CALLBACK in FFT_ENCODING.M with the given input arguments.%%      FFT_ENCODING('Property','Value',...) creates a new FFT_ENCODING or raises the%      existing singleton*.  Starting from the left, property value pairs are%      applied to the GUI before fft_encoding_OpeningFunction gets called.  An%      unrecognized property name or invalid value makes property application%      stop.  All inputs are passed to fft_encoding_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 fft_encoding% Last Modified by GUIDE v2.5 18-Jun-2009 20:05:02% Begin initialization code - DO NOT EDITgui_Singleton = 1;gui_State = struct('gui_Name',       mfilename, ...                   'gui_Singleton',  gui_Singleton, ...                   'gui_OpeningFcn', @fft_encoding_OpeningFcn, ...                   'gui_OutputFcn',  @fft_encoding_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{:});else    gui_mainfcn(gui_State, varargin{:});end% End initialization code - DO NOT EDIT% --- Executes just before fft_encoding is made visible.function fft_encoding_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 fft_encoding (see VARARGIN)cr = 0.5; I = imread('lena.bmp');axes(handles.axes1);imshow(I);I = double(I)/255;fftcoe = blkproc(I,[8 8],'fft2(x)');coevar = im2col(fftcoe,[8 8],'distinct');coe = coevar;[y,ind] = sort(coevar);[m,n] = size(coevar);snum = 64-64*cr;for i = 1:n    coe(ind(1:snum),i) = 0;endB2 = col2im(coe,[8 8],[512 512],'distinct');I2 = blkproc(B2,[8,8],'ifft2(x)');axes(handles.axes2);imshow(I2);e = double(I) - double(I2);[m,n]=size(e);erms = sqrt(sum(e(:).^2)/(m*n));set(handles.erms_edit,'string',erms);set(handles.cr_edit,'string',0.5);% Choose default command line output for fft_encodinghandles.output = hObject;% Update handles structureguidata(hObject, handles);% UIWAIT makes fft_encoding wait for user response (see UIRESUME)% uiwait(handles.figure1);% --- Outputs from this function are returned to the command line.function varargout = fft_encoding_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 structurevarargout{1} = handles.output;% --- Executes during object creation, after setting all properties.function image_pop_menu_CreateFcn(hObject, eventdata, handles)% hObject    handle to image_pop_menu (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    set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));end

3 仿真结果

4 参考文献

[1]李玲, 王贞松. 基于FFT的星载SAR复数图像压缩及其码率控制算法[J]. 遥感学报, 2009(6):20.

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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