MATLAB影象處理_同態濾波1
阿新 • • 發佈：2018-12-21
原 
MATLAB影象處理_同態濾波
2015年01月20日 09:54:25 風雨也無晴 閱讀數：14234 同態濾波： 利用廣義疊加原理對同態系統進行濾波。 同態濾波是把頻率過濾和灰度變換結合起來的一種影象處理方法，它依靠影象的照度/ 反射率模型作為頻域處理的基礎，利用壓縮亮度範圍和增強對比度來改善影象的質量。使用這種方法可以使影象處理符合人眼對於亮度響應的非線性特性，避免了直接對影象進行傅立葉變換處理的失真。 同態濾波的基本原理是：將像元灰度值看作是照度和反射率兩個組份的產物。由於照度相對變化很小，可以看作是影象的低頻成份，而反射率則是高頻成份。通過分別處理照度和反射率對像元灰度值的影響，達到揭示陰影區細節特徵的目的。
實現程式碼:
- function I3 = test_tontai(I)
- I=double(rgb2gray(I));
- [M,N]=size(I);
- rL=0.5;
- rH=4.7;%可根據需要效果調整引數
- c=2;
- d0=10;
- I1=log(I+1);%取對數
- FI=fft2(I1);%傅立葉變換
- n1=floor(M/2);
- n2=floor(N/2);
- for i=1:M
- for j=1:N
- D(i,j)=((i-n1).^2+(j-n2).^2);
- H(i,j)=(rH-rL).*(exp(c*(-D(i,j)./(d0^2))))+rL;%高斯同態濾波
- end
- end
- I2=ifft2(H.*FI);%傅立葉逆變換
- I3=real(exp(I2));
- subplot(122),imshow(I3,[]);title('同態濾波增強後'
實驗發現，同態濾波有類似於高動態範圍壓縮的效果，比如可以把影象暗的部分提亮。
下圖為原始影象，屬於低曝光的一幅影象：
同態濾波後：
注：原創文章，轉載請註明出處: http://blog.csdn.net/scottly1/article/details/42705271
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<div class="comment-list-box"><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="8554319" data-replyname="weixin_42036086"> <a target="_blank" href="https://my.csdn.net/weixin_42036086"><img src="https://avatar.csdn.net/4/E/7/3_weixin_42036086.jpg" alt="weixin_42036086" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/weixin_42036086"><span class="name ">weixin_42036086：</span></a> <span class="comment">請問為什麼我操作了一遍同態濾波之後是灰度圖呢？為什麼不是彩色的？</span><span class="date" title="2018-10-11 19:45:30">(1個月前</span><span class="floor-num">#11樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="7014705" data-replyname="benben236236"> <a target="_blank" href="https://my.csdn.net/benben236236"><img src="https://avatar.csdn.net/A/F/F/3_benben236236.jpg" alt="benben236236" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/benben236236"><span class="name ">奔跑的程式媛：</span></a> <span class="comment">作者大大你好，我想轉載你這篇文章中的圖和程式碼貼到我的部落格裡（註明來源），想知道可不可以？（未得你的同意，還沒有使用）</span><span class="date" title="2017-07-26 15:35:44">(1年前</span><span class="floor-num">#10樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="6434825" data-replyname="u013575440"> <a target="_blank" href="https://my.csdn.net/u013575440"><img src="https://avatar.csdn.net/B/1/D/3_u013575440.jpg" alt="u013575440" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/u013575440"><span class="name ">平湖望嶽：</span></a> <span class="comment">不錯的文章，但有一個小錯誤要指出：在反傅立葉變換回空域之後做了指數變換，從而和對數變換抵消，但是指數變換回來之後還要-1才是原圖。</span><span class="date" title="2016-11-27 15:53:30">(1年前</span><span class="floor-num">#9樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="6430468" data-replyname="pl20140910"> <a target="_blank" href="https://my.csdn.net/pl20140910"><img src="https://avatar.csdn.net/4/0/7/3_pl20140910.jpg" alt="pl20140910" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/pl20140910"><span class="name ">Coding小工：</span></a> <span class="comment">請教博主，取對數時加了1，後面不需要減1嗎？</span><span class="date" title="2016-11-25 11:30:53">(1年前</span><span class="floor-num">#8樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="6289740" data-replyname="longyou1243"> <a target="_blank" href="https://my.csdn.net/longyou1243"><img src="https://avatar.csdn.net/6/1/A/3_longyou1243.jpg" alt="longyou1243" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/longyou1243"><span class="name ">longyou1243：</span></a> <span class="comment">彩色圖象轉成灰度圖後做的同態濾波，之後的結果是灰度圖。很好奇博主最後是怎麼將彩色圖象疊加上去的？我試了一下分R,G,B,每個通道做同態濾波後疊加，但是發現值不對，EXP後的值比較小的其實，疊加後非常黑，博主用了imshow(I3,[])將小值拉勻，但是合成後沒有辦法拉勻，所以還是希望作者說明一下到底彩色圖是怎麼疊加的？謝謝~！</span><span class="date" title="2016-09-25 21:45:35">(2年前</span><span class="floor-num">#7樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-read-reply" data-type="readreply">查看回復(2)</a><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li><li class="replay-box"><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="7819574" data-replyname="qq_29388435"> <a target="_blank" href="https://my.csdn.net/qq_29388435"><img src="https://avatar.csdn.net/0/A/E/3_qq_29388435.jpg" alt="qq_29388435" class="avatar"></a> <div class="right-box reply-box"> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/qq_29388435"><span class="name mr-8">影入清漪</span></a>回覆 <span class="name">longyou1243：</span> <span class="comment">大佬解決了沒啊，我三個通道合成後圖像非常黑</span><span class="date" title="2018-04-12 23:33:38">(6個月前</span>)<span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li><li class="comment-line-box d-flex" data-commentid="7338998" data-replyname="weixin_38736207"> <a target="_blank" href="https://my.csdn.net/weixin_38736207"><img src="https://avatar.csdn.net/4/2/E/3_weixin_38736207.jpg" alt="weixin_38736207" class="avatar"></a> <div class="right-box reply-box"> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/weixin_38736207"><span class="name mr-8">just_yk</span></a>回覆 <span class="name">longyou1243：</span> <span class="comment">我也是，不知道你解決沒有啊？</span><span class="date" title="2017-11-14 19:47:57">(11個月前</span>)<span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul></li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="5994306" data-replyname="u013832754"> <a target="_blank" href="https://my.csdn.net/u013832754"><img src="https://avatar.csdn.net/C/1/E/3_u013832754.jpg" alt="u013832754" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/u013832754"><span class="name ">bishec：</span></a> <span class="comment">為什麼傅立葉變換後沒有中心化？</span><span class="date" title="2016-04-22 14:49:37">(2年前</span><span class="floor-num">#6樓)</span><span class="opt-box"><a class="btn btn-link-blue btn-report" data-type="report">舉報</a><a class="btn btn-link-blue btn-reply" data-type="reply">回覆</a></span></div> </div> </li></ul><ul class="comment-list"><li class="comment-line-box d-flex" data-commentid="5516935" data-replyname="baidu_31771689"> <a target="_blank" href="https://my.csdn.net/baidu_31771689"><img src="https://avatar.csdn.net/C/7/9/3_baidu_31771689.jpg" alt="baidu_31771689" class="avatar"></a> <div class="right-box "> <div class="info-box"> <a target="_blank" href="https://my.csdn.net/baidu_31771689"><span class="name ">baidu_31771689：</span></a> <span class="comment">想請教一下我修改rL的值得到了我需要的強調暗部細節的效果
但是為什麼我修改了rH的值看起來卻沒有變化呢?(3年前#5樓)
-
風雨也無晴回覆 baidu_31771689： 可能高亮處已經過曝了。。(1年前)舉報回覆
-
Jacky_Ponder： 可以請教下為什麼是“I1=log(I+1);”，為什麼需要+1謝謝(3年前#4樓)
-
adong76： 暗部細節增強，磚瓦上方的亮部細節也增強了(3年前#3樓)
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I=double(rgb2gray(I)); [M,N]=size(I); rL=0.5; rH=4.7;%…
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<span class="desc oneline">說明：同態濾波是頻域濾波的一種，但是相比之下同態濾波有自己的優勢，
頻域濾波可以靈活地解決加性噪聲問題，但無法消減乘性或卷積性噪聲。 同態濾波是一種在頻域中同時將影象亮度範圍進行壓縮和…
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matlab<em>同態濾波</em> - 菲斯奇 </h4>
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如有錯誤的地方，歡迎批評指導 % 同態濾波 image為輸,可以是灰度圖\彩色圖， y 為輸出的灰度圖 % 對於RGB格式的彩色圖，目前僅僅根據三個分量分別進行同態而疊加得到的結果,要更好的結果應該轉 </div>
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幾種濾波方法MATLAB - zbl1243的部落格 </h4>
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<span class="desc oneline">1 平滑濾波
clear all; close all; I=imread(‘coins.png’); J=imnoise(I, ‘salt &amp; pepper’, 0.02);%…
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matlab實現直方圖均衡化、<em>同態濾波</em>、中值濾波及巴特沃斯帶阻濾波器 </h4>
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壓縮包有三個程式以及實驗報告 ⑴在matlab下程式設計實現直方圖均衡化 ⑵在matlab下設計完成同態濾波器，並用之改善圖象質量。 ⑶對某影象加入不同型別﹑不同強度的噪聲（週期﹑椒鹽噪聲），並分別用空間 </div>
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可以用於光照不均勻影象的處理，好用！ </div>
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<span class="desc oneline">下面是根據我自己的工作整理的空間域和頻率域的影象增強，首先將彩色影象轉化為灰度影象，matlab 程式碼如下：
clear all I1=imread(‘1.jpg’); …
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<a href="https://blog.csdn.net/liujiabin076/article/details/53366678" target="_blank" title="OpenCV同態濾波 - 滄海桑田">
<span class="desc oneline">同態濾波原理簡而言之，影象的同態濾波是基於以入射光和反射光為基礎的影象模型上的，如果把影象函式F(x,y)表示為光照函式，即照射分量i(x,y)與反射分量r(x,y)兩個分量的乘積，那麼影象的模型可以...</span>
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<span class="blog_title_box oneline"><a target="_blank" href="https://blog.csdn.net/liujiabin076">來自： <span class="blog_title"> 滄海桑田</span></a></span>
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<em>同態濾波</em>對影象進行處理 - 菩提別戀 </h4>
<span class="data float-right">09-24</span>
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同態濾波器對影象進行增強處理，影象的同態濾波(Homomorphic filtering)是把頻率過濾和灰度變換結合起來的一種影象處理方法，其是以影象的照度/ 反射率模型作為頻域處理的基礎，通過調整圖 </div>
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