搜156165

本系列文章由@浅墨_毛星云 出品，转载请注明出处。  
文章链接： http://blog.csdn.net/poem_qianmo/article/details/26977557
作者：毛星云（浅墨）    微博：http://weibo.com/u/1723155442
知乎：http://www.zhihu.com/people/mao-xing-yun
邮箱： [e-mail]
写作当前博文时配套使用的OpenCV版本：
2.4.9




 本篇文章中，我们一起探讨了OpenCV中霍夫变换相关的知识点，以及了解了OpenCV中实现霍夫线变换的HoughLines、HoughLinesP函数的使用方法，实现霍夫圆变换的HoughCircles函数的使用方法。此博文一共有四个配套的简短的示例程序，其详细注释过的代码都在文中贴出，且文章最后提供了综合示例程序的下载。
先尝鲜一下其中一个示例程序的运行截图：








一、引言
 
在图像处理和计算机视觉领域中，如何从当前的图像中提取所需要的特征信息是图像识别的关键所在。在许多应用场合中需要快速准确地检测出直线或者圆。其中一种非常有效的解决问题的方法是霍夫（Hough）变换，其为图像处理中从图像中识别几何形状的基本方法之一，应用很广泛，也有很多改进算法。最基本的霍夫变换是从黑白图像中检测直线(线段)。这篇文章就将介绍OpenCV中霍夫变换的使用方法和相关知识。
 
 


二、霍夫变换概述


霍夫变换(Hough Transform)是图像处理中的一种特征提取技术，该过程在一个参数空间中通过计算累计结果的局部最大值得到一个符合该特定形状的集合作为霍夫变换结果。
霍夫变换于1962年由PaulHough首次提出，最初的Hough变换是设计用来检测直线和曲线，起初的方法要求知道物体边界线的解析方程，但不需要有关区域位置的先验知识。这种方法的一个突出优点是分割结果的Robustness,即对数据的不完全或噪声不是非常敏感。然而，要获得描述边界的解析表达常常是不可能的。　后于1972年由Richard Duda & Peter Hart推广使用，经典霍夫变换用来检测图像中的直线，后来霍夫变换扩展到任意形状物体的识别，多为圆和椭圆。霍夫变换运用两个坐标空间之间的变换将在一个空间中具有相同形状的曲线或直线映射到另一个坐标空间的一个点上形成峰值，从而把检测任意形状的问题转化为统计峰值问题。
 
霍夫变换在OpenCV中分为霍夫线变换和霍夫圆变换两种，我们下面将分别进行介绍。
 


 


三、霍夫线变换
 


3.1  OpenCV中的霍夫线变换
 


我们知道，霍夫线变换是一种用来寻找直线的方法. 在使用霍夫线变换之前, 首先要对图像进行边缘检测的处理，也即霍夫线变换的直接输入只能是边缘二值图像.
OpenCV支持三种不同的霍夫线变换，它们分别是：标准霍夫变换(Standard Hough Transform，SHT)和多尺度霍夫变换（Multi-Scale Hough Transform，MSHT）累计概率霍夫变换(Progressive Probabilistic Hough Transform ，PPHT)。
 
其中，多尺度霍夫变换（MSHT）为经典霍夫变换（SHT）在多尺度下的一个变种。累计概率霍夫变换(PPHT）算法是标准霍夫变换（SHT）算法的一个改进，它在一定的范围内进行霍夫变换，计算单独线段的方向以及范围，从而减少计算量，缩短计算时间。之所以称PPHT为“概率”的，是因为并不将累加器平面内的所有可能的点累加，而只是累加其中的一部分，该想法是如果峰值如果足够高，只用一小部分时间去寻找它就够了。这样猜想的话，可以实质性地减少计算时间。
 
在OpenCV中，我们可以用HoughLines函数来调用标准霍夫变换SHT和多尺度霍夫变换MSHT。
而HoughLinesP函数用于调用累计概率霍夫变换PPHT。累计概率霍夫变换执行效率很高，所有相比于HoughLines函数，我们更倾向于使用HoughLinesP函数。
 
总结一下，OpenCV中的霍夫线变换有如下三种：


<1>标准霍夫变换（StandardHough Transform，SHT），由HoughLines函数调用。
<2>多尺度霍夫变换（Multi-ScaleHough Transform，MSHT），由HoughLines函数调用。

<3>累计概率霍夫变换（ProgressiveProbabilistic Hough Transform，PPHT），由HoughLinesP函数调用。

http://www.l99.com/EditPicture_photoView.action?pictureId=13687065
http://www.l99.com/EditPicture_photoView.action?pictureId=13687063
http://www.l99.com/EditPicture_photoView.action?pictureId=13687062
http://www.l99.com/EditPicture_photoView.action?pictureId=13687061
http://www.l99.com/EditPicture_photoView.action?pictureId=13687060
http://www.l99.com/EditPicture_photoView.action?pictureId=13687059
http://www.l99.com/EditPicture_photoView.action?pictureId=13687058
http://www.l99.com/EditPicture_photoView.action?pictureId=13687057
http://www.l99.com/EditPicture_photoView.action?pictureId=13687056
http://www.l99.com/EditPicture_photoView.action?pictureId=13687034
http://www.l99.com/EditPicture_photoView.action?pictureId=13687033
http://www.l99.com/EditPicture_photoView.action?pictureId=13687032
http://www.l99.com/EditPicture_photoView.action?pictureId=13687031
http://www.l99.com/EditPicture_photoView.action?pictureId=13687029
http://www.l99.com/EditPicture_photoView.action?pictureId=13687028
http://www.l99.com/EditPicture_photoView.action?pictureId=13687027
http://www.l99.com/EditPicture_photoView.action?pictureId=13687026
http://www.l99.com/EditPicture_photoView.action?pictureId=13687025
http://www.l99.com/EditPicture_photoView.action?pictureId=13687024
http://www.l99.com/EditPicture_photoView.action?pictureId=13687023
http://www.l99.com/EditPicture_photoView.action?pictureId=13687022
http://www.l99.com/EditPicture_photoView.action?pictureId=13687021
http://www.l99.com/EditPicture_photoView.action?pictureId=13687019
http://www.l99.com/EditPicture_photoView.action?pictureId=13687018
http://www.l99.com/EditPicture_photoView.action?pictureId=13687017
http://www.l99.com/EditPicture_photoView.action?pictureId=13687016
http://www.l99.com/EditPicture_photoView.action?pictureId=13687015
http://www.l99.com/EditPicture_photoView.action?pictureId=13687014
http://www.l99.com/EditPicture_photoView.action?pictureId=13687012
http://www.l99.com/EditPicture_photoView.action?pictureId=13686876
http://www.l99.com/EditPicture_photoView.action?pictureId=13686875
http://www.l99.com/EditPicture_photoView.action?pictureId=13686873
http://www.l99.com/EditPicture_photoView.action?pictureId=13686872
http://www.l99.com/EditPicture_photoView.action?pictureId=13686871
http://www.l99.com/EditPicture_photoView.action?pictureId=13686870
http://www.l99.com/EditPicture_photoView.action?pictureId=13686868
http://www.l99.com/EditPicture_photoView.action?pictureId=13686867
http://www.l99.com/EditPicture_photoView.action?pictureId=13686866
http://www.l99.com/EditPicture_photoView.action?pictureId=13686865
http://www.l99.com/EditPicture_photoView.action?pictureId=13686864
http://www.l99.com/EditPicture_photoView.action?pictureId=13686863
http://www.l99.com/EditPicture_photoView.action?pictureId=13686862
http://www.l99.com/EditPicture_photoView.action?pictureId=13686861
http://www.l99.com/EditPicture_photoView.action?pictureId=13686860
http://www.l99.com/EditPicture_photoView.action?pictureId=13686858
http://www.l99.com/EditPicture_photoView.action?pictureId=13686857
http://www.l99.com/EditPicture_photoView.action?pictureId=13686856
http://www.l99.com/EditPicture_photoView.action?pictureId=13686855
http://www.l99.com/EditPicture_photoView.action?pictureId=13686854
http://www.l99.com/EditPicture_photoView.action?pictureId=13686834
http://www.l99.com/EditPicture_photoView.action?pictureId=13686833
http://www.l99.com/EditPicture_photoView.action?pictureId=13686832
http://www.l99.com/EditPicture_photoView.action?pictureId=13686831
http://www.l99.com/EditPicture_photoView.action?pictureId=13686830
http://www.l99.com/EditPicture_photoView.action?pictureId=13686829
http://www.l99.com/EditPicture_photoView.action?pictureId=13686828
http://www.l99.com/EditPicture_photoView.action?pictureId=13686827
http://www.l99.com/EditPicture_photoView.action?pictureId=13686825
http://www.l99.com/EditPicture_photoView.action?pictureId=13686824
http://www.l99.com/EditPicture_photoView.action?pictureId=13686823
http://www.l99.com/EditPicture_photoView.action?pictureId=13686822
http://www.l99.com/EditPicture_photoView.action?pictureId=13686821
http://www.l99.com/EditPicture_photoView.action?pictureId=13686820
http://www.l99.com/EditPicture_photoView.action?pictureId=13686818
http://www.l99.com/EditPicture_photoView.action?pictureId=13686817
http://www.l99.com/EditPicture_photoView.action?pictureId=13686816
http://www.l99.com/EditPicture_photoView.action?pictureId=13686815
http://www.l99.com/EditPicture_photoView.action?pictureId=13686814
http://www.l99.com/EditPicture_photoView.action?pictureId=13686813
http://www.l99.com/EditPicture_photoView.action?pictureId=13686778
http://www.l99.com/EditPicture_photoView.action?pictureId=13686777
http://www.l99.com/EditPicture_photoView.action?pictureId=13686776
http://www.l99.com/EditPicture_photoView.action?pictureId=13686775
http://www.l99.com/EditPicture_photoView.action?pictureId=13686774
http://www.l99.com/EditPicture_photoView.action?pictureId=13686773
http://www.l99.com/EditPicture_photoView.action?pictureId=13686772
http://www.l99.com/EditPicture_photoView.action?pictureId=13686771
http://www.l99.com/EditPicture_photoView.action?pictureId=13686769
http://www.l99.com/EditPicture_photoView.action?pictureId=13686768
http://www.l99.com/EditPicture_photoView.action?pictureId=13686767
http://www.l99.com/EditPicture_photoView.action?pictureId=13686766
http://www.l99.com/EditPicture_photoView.action?pictureId=13686765
http://www.l99.com/EditPicture_photoView.action?pictureId=13686764
http://www.l99.com/EditPicture_photoView.action?pictureId=13686763
http://www.l99.com/EditPicture_photoView.action?pictureId=13686762
http://www.l99.com/EditPicture_photoView.action?pictureId=13686761
http://www.l99.com/EditPicture_photoView.action?pictureId=13686760
http://www.l99.com/EditPicture_photoView.action?pictureId=13686759
http://www.l99.com/EditPicture_photoView.action?pictureId=13686758
http://www.l99.com/EditPicture_photoView.action?pictureId=13686695
http://www.l99.com/EditPicture_photoView.action?pictureId=13686694
http://www.l99.com/EditPicture_photoView.action?pictureId=13686693
http://www.l99.com/EditPicture_photoView.action?pictureId=13686692
http://www.l99.com/EditPicture_photoView.action?pictureId=13686691
http://www.l99.com/EditPicture_photoView.action?pictureId=13686690
http://www.l99.com/EditPicture_photoView.action?pictureId=13686689
http://www.l99.com/EditPicture_photoView.action?pictureId=13686688
http://www.l99.com/EditPicture_photoView.action?pictureId=13686687
http://www.l99.com/EditPicture_photoView.action?pictureId=13686685
http://www.l99.com/EditPicture_photoView.action?pictureId=13686684
http://www.l99.com/EditPicture_photoView.action?pictureId=13686683
http://www.l99.com/EditPicture_photoView.action?pictureId=13686682
http://www.l99.com/EditPicture_photoView.action?pictureId=13686681
http://www.l99.com/EditPicture_photoView.action?pictureId=13686680
http://www.l99.com/EditPicture_photoView.action?pictureId=13686679
http://www.l99.com/EditPicture_photoView.action?pictureId=13686678
http://www.l99.com/EditPicture_photoView.action?pictureId=13686677
http://www.l99.com/EditPicture_photoView.action?pictureId=13686676
http://www.l99.com/EditPicture_photoView.action?pictureId=13686675
http://www.l99.com/EditPicture_photoView.action?pictureId=13686546
http://www.l99.com/EditPicture_photoView.action?pictureId=13686545
http://www.l99.com/EditPicture_photoView.action?pictureId=13686541
http://www.l99.com/EditPicture_photoView.action?pictureId=13686540
http://www.l99.com/EditPicture_photoView.action?pictureId=13686539
http://www.l99.com/EditPicture_photoView.action?pictureId=13686538
http://www.l99.com/EditPicture_photoView.action?pictureId=13686537
http://www.l99.com/EditPicture_photoView.action?pictureId=13686536
http://www.l99.com/EditPicture_photoView.action?pictureId=13686534
http://www.l99.com/EditPicture_photoView.action?pictureId=13686533
http://www.l99.com/EditPicture_photoView.action?pictureId=13686532
http://www.l99.com/EditPicture_photoView.action?pictureId=13686531
http://www.l99.com/EditPicture_photoView.action?pictureId=13686530
http://www.l99.com/EditPicture_photoView.action?pictureId=13686529
http://www.l99.com/EditPicture_photoView.action?pictureId=13686528
http://www.l99.com/EditPicture_photoView.action?pictureId=13686527
http://www.l99.com/EditPicture_photoView.action?pictureId=13686526
http://www.l99.com/EditPicture_photoView.action?pictureId=13686525
http://www.l99.com/EditPicture_photoView.action?pictureId=13686524
http://www.l99.com/EditPicture_photoView.action?pictureId=13686523
http://www.l99.com/EditPicture_photoView.action?pictureId=13686474
http://www.l99.com/EditPicture_photoView.action?pictureId=13686473
http://www.l99.com/EditPicture_photoView.action?pictureId=13686472
http://www.l99.com/EditPicture_photoView.action?pictureId=13686471
http://www.l99.com/EditPicture_photoView.action?pictureId=13686470
http://www.l99.com/EditPicture_photoView.action?pictureId=13686469
http://www.l99.com/EditPicture_photoView.action?pictureId=13686468
http://www.l99.com/EditPicture_photoView.action?pictureId=13686467
http://www.l99.com/EditPicture_photoView.action?pictureId=13686465
http://www.l99.com/EditPicture_photoView.action?pictureId=13686464
http://www.l99.com/EditPicture_photoView.action?pictureId=13686463
http://www.l99.com/EditPicture_photoView.action?pictureId=13686462
http://www.l99.com/EditPicture_photoView.action?pictureId=13686461
http://www.l99.com/EditPicture_photoView.action?pictureId=13686460
http://www.l99.com/EditPicture_photoView.action?pictureId=13686458
http://www.l99.com/EditPicture_photoView.action?pictureId=13686457
http://www.l99.com/EditPicture_photoView.action?pictureId=13686456
http://www.l99.com/EditPicture_photoView.action?pictureId=13686455
http://www.l99.com/EditPicture_photoView.action?pictureId=13686454
http://www.l99.com/EditPicture_photoView.action?pictureId=13686453
http://www.l99.com/EditPicture_photoView.action?pictureId=13686404
http://www.l99.com/EditPicture_photoView.action?pictureId=13686402
http://www.l99.com/EditPicture_photoView.action?pictureId=13686400
http://www.l99.com/EditPicture_photoView.action?pictureId=13686399
http://www.l99.com/EditPicture_photoView.action?pictureId=13686398
http://www.l99.com/EditPicture_photoView.action?pictureId=13686305
http://www.l99.com/EditPicture_photoView.action?pictureId=13686304
http://www.l99.com/EditPicture_photoView.action?pictureId=13686303
http://www.l99.com/EditPicture_photoView.action?pictureId=13686302
http://www.l99.com/EditPicture_photoView.action?pictureId=13686301
http://www.l99.com/EditPicture_photoView.action?pictureId=13686300
http://www.l99.com/EditPicture_photoView.action?pictureId=13686299
http://www.l99.com/EditPicture_photoView.action?pictureId=13686298
http://www.l99.com/EditPicture_photoView.action?pictureId=13686297
http://www.l99.com/EditPicture_photoView.action?pictureId=13686296
http://www.l99.com/EditPicture_photoView.action?pictureId=13686295
http://www.l99.com/EditPicture_photoView.action?pictureId=13686294
http://www.l99.com/EditPicture_photoView.action?pictureId=13686293
http://www.l99.com/EditPicture_photoView.action?pictureId=13686292
http://www.l99.com/EditPicture_photoView.action?pictureId=13686291
http://www.l99.com/EditPicture_photoView.action?pictureId=13686207
http://www.l99.com/EditPicture_photoView.action?pictureId=13686206
http://www.l99.com/EditPicture_photoView.action?pictureId=13686205
http://www.l99.com/EditPicture_photoView.action?pictureId=13686204
http://www.l99.com/EditPicture_photoView.action?pictureId=13686202
http://www.l99.com/EditPicture_photoView.action?pictureId=13686201
http://www.l99.com/EditPicture_photoView.action?pictureId=13686200
http://www.l99.com/EditPicture_photoView.action?pictureId=13686199
http://www.l99.com/EditPicture_photoView.action?pictureId=13686198
http://www.l99.com/EditPicture_photoView.action?pictureId=13686197
http://www.l99.com/EditPicture_photoView.action?pictureId=13686196
http://www.l99.com/EditPicture_photoView.action?pictureId=13686195
http://www.l99.com/EditPicture_photoView.action?pictureId=13686194
http://www.l99.com/EditPicture_photoView.action?pictureId=13686193
http://www.l99.com/EditPicture_photoView.action?pictureId=13686192
http://www.l99.com/EditPicture_photoView.action?pictureId=13686190
http://www.l99.com/EditPicture_photoView.action?pictureId=13686189
http://www.l99.com/EditPicture_photoView.action?pictureId=13686188
http://www.l99.com/EditPicture_photoView.action?pictureId=13686187
http://www.l99.com/EditPicture_photoView.action?pictureId=13686186
http://code.google.com/p/joy1/issues/detail?id=188
http://code.google.com/p/joy1/issues/detail?id=189
http://code.google.com/p/joy1/issues/detail?id=190
http://code.google.com/p/joy1/issues/detail?id=191
http://code.google.com/p/joy1/issues/detail?id=192
http://code.google.com/p/joy1/issues/detail?id=193
http://code.google.com/p/joy1/issues/detail?id=194
http://code.google.com/p/joy1/issues/detail?id=195
http://code.google.com/p/joy1/issues/detail?id=196
http://code.google.com/p/joy1/issues/detail?id=197
http://code.google.com/p/joy1/issues/detail?id=198
http://code.google.com/p/joy1/issues/detail?id=199
http://code.google.com/p/joy1/issues/detail?id=200
http://code.google.com/p/joy1/issues/detail?id=201
http://code.google.com/p/joy1/issues/detail?id=202
http://code.google.com/p/joy1/issues/detail?id=203
http://code.google.com/p/joy1/issues/detail?id=204
http://code.google.com/p/joy1/issues/detail?id=205
http://code.google.com/p/joy1/issues/detail?id=206
http://code.google.com/p/joy1/issues/detail?id=207
http://code.google.com/p/joy1/issues/detail?id=208
http://code.google.com/p/joy1/issues/detail?id=209
http://code.google.com/p/joy1/issues/detail?id=210
http://code.google.com/p/joy1/issues/detail?id=211
http://code.google.com/p/joy1/issues/detail?id=212
http://code.google.com/p/joy1/issues/detail?id=213
http://code.google.com/p/joy1/issues/detail?id=214
http://code.google.com/p/joy1/issues/detail?id=215
http://code.google.com/p/joy1/issues/detail?id=216
http://code.google.com/p/joy1/issues/detail?id=217
http://code.google.com/p/joy1/issues/detail?id=218
http://code.google.com/p/joy1/issues/detail?id=219
http://code.google.com/p/joy1/issues/detail?id=220
http://code.google.com/p/joy1/issues/detail?id=221
http://code.google.com/p/joy1/issues/detail?id=222
http://code.google.com/p/joy1/issues/detail?id=223
http://code.google.com/p/joy1/issues/detail?id=224
http://code.google.com/p/joy1/issues/detail?id=225
http://code.google.com/p/joy1/issues/detail?id=226
http://code.google.com/p/joy1/issues/detail?id=227
http://code.google.com/p/joy1/issues/detail?id=228
http://code.google.com/p/joy1/issues/detail?id=229
http://code.google.com/p/joy1/issues/detail?id=230
http://code.google.com/p/joy1/issues/detail?id=231
http://code.google.com/p/joy1/issues/detail?id=232
http://code.google.com/p/joy1/issues/detail?id=233
http://code.google.com/p/joy1/issues/detail?id=234
http://code.google.com/p/joy1/issues/detail?id=235
http://code.google.com/p/joy1/issues/detail?id=236
http://code.google.com/p/joy1/issues/detail?id=237
http://code.google.com/p/joy1/issues/detail?id=238
http://code.google.com/p/joy1/issues/detail?id=239
http://code.google.com/p/joy1/issues/detail?id=240
http://code.google.com/p/joy1/issues/detail?id=241
http://code.google.com/p/joy1/issues/detail?id=242
http://code.google.com/p/joy1/issues/detail?id=243
http://code.google.com/p/joy1/issues/detail?id=244
http://code.google.com/p/joy1/issues/detail?id=245
http://code.google.com/p/joy1/issues/detail?id=246
http://code.google.com/p/joy1/issues/detail?id=247
http://code.google.com/p/joy1/issues/detail?id=248
http://code.google.com/p/joy1/issues/detail?id=249
http://code.google.com/p/joy1/issues/detail?id=250
http://code.google.com/p/joy1/issues/detail?id=251
http://code.google.com/p/joy1/issues/detail?id=252
http://code.google.com/p/joy1/issues/detail?id=253
http://code.google.com/p/joy1/issues/detail?id=254
http://code.google.com/p/joy1/issues/detail?id=255
http://code.google.com/p/joy1/issues/detail?id=256
http://code.google.com/p/joy1/issues/detail?id=257
http://code.google.com/p/joy1/issues/detail?id=258
http://code.google.com/p/joy1/issues/detail?id=259
http://code.google.com/p/joy1/issues/detail?id=260
http://code.google.com/p/joy1/issues/detail?id=261
http://code.google.com/p/joy1/issues/detail?id=262
http://code.google.com/p/joy1/issues/detail?id=263
http://code.google.com/p/joy1/issues/detail?id=264
http://code.google.com/p/joy1/issues/detail?id=265
http://code.google.com/p/joy1/issues/detail?id=266
http://code.google.com/p/joy1/issues/detail?id=267
http://code.google.com/p/joy1/issues/detail?id=268
http://code.google.com/p/joy1/issues/detail?id=269
http://code.google.com/p/joy1/issues/detail?id=270
http://code.google.com/p/joy1/issues/detail?id=271
http://code.google.com/p/joy1/issues/detail?id=272
http://code.google.com/p/joy1/issues/detail?id=273
http://code.google.com/p/joy1/issues/detail?id=274
http://code.google.com/p/joy1/issues/detail?id=275
http://code.google.com/p/joy1/issues/detail?id=276
http://code.google.com/p/joy1/issues/detail?id=277
http://code.google.com/p/joy1/issues/detail?id=278
http://code.google.com/p/joy1/issues/detail?id=279
http://code.google.com/p/joy1/issues/detail?id=280
http://code.google.com/p/joy1/issues/detail?id=281
http://code.google.com/p/joy1/issues/detail?id=282
http://code.google.com/p/joy1/issues/detail?id=283
http://code.google.com/p/joy1/issues/detail?id=284
http://code.google.com/p/joy1/issues/detail?id=285
http://code.google.com/p/joy1/issues/detail?id=286
http://code.google.com/p/joy1/issues/detail?id=287
http://code.google.com/p/joy1/issues/detail?id=288
http://code.google.com/p/joy1/issues/detail?id=289
http://code.google.com/p/joy1/issues/detail?id=290
http://code.google.com/p/joy1/issues/detail?id=291
http://code.google.com/p/joy1/issues/detail?id=292
http://code.google.com/p/joy1/issues/detail?id=293
http://code.google.com/p/joy1/issues/detail?id=294
http://code.google.com/p/joy1/issues/detail?id=295
http://code.google.com/p/joy1/issues/detail?id=296
http://code.google.com/p/joy1/issues/detail?id=297
http://code.google.com/p/joy1/issues/detail?id=298
http://code.google.com/p/joy1/issues/detail?id=299
http://code.google.com/p/joy1/issues/detail?id=300
http://code.google.com/p/joy1/issues/detail?id=301
http://code.google.com/p/joy1/issues/detail?id=302
http://code.google.com/p/joy1/issues/detail?id=303
http://code.google.com/p/joy1/issues/detail?id=304
http://code.google.com/p/joy1/issues/detail?id=305
http://code.google.com/p/joy1/issues/detail?id=306
http://code.google.com/p/joy1/issues/detail?id=307
http://code.google.com/p/joy1/issues/detail?id=308
http://code.google.com/p/joy1/issues/detail?id=309
http://code.google.com/p/joy1/issues/detail?id=310
http://code.google.com/p/joy1/issues/detail?id=311
http://code.google.com/p/joy1/issues/detail?id=312
http://code.google.com/p/joy1/issues/detail?id=313
http://code.google.com/p/joy1/issues/detail?id=314
http://code.google.com/p/joy1/issues/detail?id=315
http://code.google.com/p/joy1/issues/detail?id=316
http://code.google.com/p/joy1/issues/detail?id=317
http://code.google.com/p/joy1/issues/detail?id=318
http://code.google.com/p/joy1/issues/detail?id=319
http://code.google.com/p/joy1/issues/detail?id=320
http://code.google.com/p/joy1/issues/detail?id=321
http://code.google.com/p/joy1/issues/detail?id=322
http://code.google.com/p/joy1/issues/detail?id=323
http://code.google.com/p/joy1/issues/detail?id=324
http://code.google.com/p/joy1/issues/detail?id=325
http://code.google.com/p/joy1/issues/detail?id=326
http://code.google.com/p/joy1/issues/detail?id=327
http://code.google.com/p/joy1/issues/detail?id=328
http://code.google.com/p/joy1/issues/detail?id=329
http://code.google.com/p/joy1/issues/detail?id=330
http://code.google.com/p/joy1/issues/detail?id=331
http://code.google.com/p/joy1/issues/detail?id=332
http://code.google.com/p/joy1/issues/detail?id=333
http://code.google.com/p/joy1/issues/detail?id=334
http://code.google.com/p/joy1/issues/detail?id=335
http://code.google.com/p/joy1/issues/detail?id=336
http://code.google.com/p/joy1/issues/detail?id=337
http://code.google.com/p/joy1/issues/detail?id=338
http://code.google.com/p/joy1/issues/detail?id=339
http://code.google.com/p/joy1/issues/detail?id=340
http://code.google.com/p/joy1/issues/detail?id=341
http://www.meitukong.com/81979997/album/1142681
http://www.meitukong.com/81979997/album/1142579
http://www.meitukong.com/81979997/album/1142479
http://www.meitukong.com/81979997/album/1142381
http://www.meitukong.com/81979997/album/1142323
http://www.meitukong.com/81979997/album/1142278
http://www.meitukong.com/81979997/album/1142225
http://www.meitukong.com/81979997/album/1142176
http://www.meitukong.com/81979997/album/1142124
http://www.meitukong.com/81979997/album/1142072
http://www.meitukong.com/81979997/album/1142027
http://www.meitukong.com/81979997/album/1141963
http://www.meitukong.com/81979997/album/1141890
http://www.meitukong.com/81979997/album/1141794
http://www.meitukong.com/81979997/album/1141722
http://www.meitukong.com/81979997/album/1141666
http://www.meitukong.com/81979997/album/1141619
http://www.meitukong.com/81979997/album/1141566
http://www.meitukong.com/81979997/album/1141522
http://www.meitukong.com/81979997/album/1141453
http://www.meitukong.com/81979997/album/1141390
http://www.meitukong.com/81979997/album/1141322
http://www.meitukong.com/81979997/album/1141242
http://www.meitukong.com/81979997/album/1141167
http://www.meitukong.com/81979997/album/1141083
http://www.meitukong.com/81979997/album/1140990
http://www.meitukong.com/81979997/album/1140904
http://www.meitukong.com/81979997/album/1140822
http://www.meitukong.com/81979997/album/1140720
http://www.meitukong.com/81979997/album/1140574
http://www.meitukong.com/81979997/album/1140463
http://www.meitukong.com/81979997/album/1140341
http://www.meitukong.com/81979997/album/1140228
http://www.meitukong.com/81979997/album/1140106
http://www.meitukong.com/81979997/album/1140002
http://www.meitukong.com/81979997/album/1139880
http://www.meitukong.com/81979997/album/1139771
http://www.meitukong.com/81979997/album/1139663
http://www.meitukong.com/81979997/album/1139559
http://www.meitukong.com/81979997/album/1139448
http://www.meitukong.com/81979997/album/1139350
http://www.meitukong.com/81979997/album/1139237
http://www.meitukong.com/81979997/album/1139126
http://www.meitukong.com/81979997/album/1139013
http://www.meitukong.com/81979997/album/1138907
http://www.meitukong.com/81979997/album/1138813
http://www.meitukong.com/81979997/album/1138713
http://www.meitukong.com/81979997/album/1138625
http://www.meitukong.com/81979997/album/1138528
http://www.meitukong.com/81979997/album/1138424
http://www.meitukong.com/81979997/album/1138331
http://www.meitukong.com/81979997/album/1138231
http://www.meitukong.com/81979997/album/1138136
http://www.meitukong.com/81979997/album/1138030
http://www.meitukong.com/81979997/album/1137927
http://www.meitukong.com/81979997/album/1137824
http://www.meitukong.com/81979997/album/1137723
http://www.meitukong.com/81979997/album/1137618
http://www.meitukong.com/81979997/album/1137514
http://www.meitukong.com/81979997/album/1137413
http://www.meitukong.com/81979997/album/1137314
http://www.meitukong.com/81979997/album/1137212
http://www.meitukong.com/81979997/album/1137112
http://www.meitukong.com/81979997/album/1137015
http://www.meitukong.com/81979997/album/1136917
http://www.meitukong.com/81979997/album/1136808
http://www.meitukong.com/81979997/album/1136692
http://www.meitukong.com/81979997/album/1136572
http://www.meitukong.com/81979997/album/1136466
http://www.meitukong.com/81979997/album/1136375
http://www.meitukong.com/81979997/album/1136281
http://www.meitukong.com/81979997/album/1136172
http://www.meitukong.com/81979997/album/1136059
http://www.meitukong.com/81979997/album/1135951
http://www.meitukong.com/81979997/album/1135838
http://www.meitukong.com/81979997/album/1135728
http://www.meitukong.com/81979997/album/1135625
http://www.meitukong.com/81979997/album/1135550
http://www.meitukong.com/81979997/album/1135474
http://www.meitukong.com/81979997/album/1135395
http://www.meitukong.com/81979997/album/1135312
http://www.meitukong.com/81979997/album/1135231
http://www.meitukong.com/81979997/album/1135148
http://www.meitukong.com/81979997/album/1135071
http://www.meitukong.com/81979997/album/1134975
http://www.meitukong.com/81979997/album/1134884
http://www.meitukong.com/81979997/album/1134797
http://www.meitukong.com/81979997/album/1134714
http://www.meitukong.com/81979997/album/1134625
http://www.meitukong.com/81979997/album/1134537
http://www.meitukong.com/81979997/album/1134445
http://www.meitukong.com/81979997/album/1134362
http://www.meitukong.com/81979997/album/1134282
http://www.meitukong.com/81979997/album/1134202
http://www.meitukong.com/81979997/album/1134115
http://www.meitukong.com/81979997/album/1134037
http://www.meitukong.com/81979997/album/1133949
http://www.meitukong.com/81979997/album/1133873
http://www.meitukong.com/81979997/album/1133774
http://www.meitukong.com/81979997/album/1133675
http://www.meitukong.com/81979997/album/1133584
http://www.meitukong.com/81979997/album/1133495
http://www.meitukong.com/81979997/album/1133410
http://www.meitukong.com/81979997/album/1133335
http://www.meitukong.com/81979997/album/1133274
http://www.meitukong.com/81979997/album/1133215
http://www.meitukong.com/81979997/album/1133154
http://www.meitukong.com/81979997/album/1133099
http://www.meitukong.com/81979997/album/1133049
http://www.meitukong.com/81979997/album/1133001
http://www.meitukong.com/81979997/album/1132957
http://www.meitukong.com/81979997/album/1132914
http://www.meitukong.com/81979997/album/1132860
http://www.meitukong.com/81979997/album/1132808
http://www.meitukong.com/81979997/album/1132739
http://www.meitukong.com/81979997/album/1132609
http://www.meitukong.com/81979997/album/1132472
http://www.meitukong.com/81979997/album/1132346
http://www.meitukong.com/81979997/album/1132219
http://www.meitukong.com/81979997/album/1132085
http://www.meitukong.com/81979997/album/1131962
http://www.meitukong.com/81979997/album/1131850
http://www.meitukong.com/81979997/album/1131757
http://www.meitukong.com/81979997/album/1131662
http://www.meitukong.com/81979997/album/1131558
http://www.meitukong.com/81979997/album/1131456
http://www.meitukong.com/81979997/album/1131366
http://www.meitukong.com/81979997/album/1131347
http://www.meitukong.com/81979997/album/1131326
http://www.meitukong.com/81979997/album/1131133
http://www.meitukong.com/81979997/album/1130752
http://www.meitukong.com/81979997/album/1130632
http://www.meitukong.com/81979997/album/1130548
http://www.meitukong.com/81979997/album/1130470
http://www.meitukong.com/81979997/album/1130387
http://www.meitukong.com/81979997/album/1130305
http://www.meitukong.com/81979997/album/1130215
http://www.meitukong.com/81979997/album/1130133
http://www.meitukong.com/81979997/album/1130034
http://www.meitukong.com/81979997/album/1129963
http://www.meitukong.com/81979997/album/1129935
http://www.meitukong.com/81979997/album/1129908
http://www.meitukong.com/81979997/album/1129887
http://www.meitukong.com/81979997/album/1129813
http://www.meitukong.com/81979997/album/1129734
http://www.meitukong.com/81979997/album/1129665
http://www.meitukong.com/81979997/album/1129587
http://www.meitukong.com/81979997/album/1129510
http://www.meitukong.com/81979997/album/1129441
http://www.meitukong.com/81979997/album/1129354
http://www.meitukong.com/81979997/album/1129275
http://www.meitukong.com/81979997/album/1129205
http://www.meitukong.com/81979997/album/1129133
http://www.meitukong.com/81979997/album/1129055
http://www.meitukong.com/81979997/album/1128987
http://www.meitukong.com/81979997/album/1128919
http://www.meitukong.com/81979997/album/1128840
http://www.meitukong.com/81979997/album/1128760
http://www.meitukong.com/81979997/album/1128683
http://www.meitukong.com/81979997/album/1128605
http://www.meitukong.com/81979997/album/1128516
http://www.meitukong.com/81979997/album/1128432
http://www.meitukong.com/81979997/album/1128365
http://www.meitukong.com/81979997/album/1128277
http://www.meitukong.com/81979997/album/1128197
http://www.meitukong.com/81979997/album/1128112
http://www.meitukong.com/81979997/album/1128035
http://www.meitukong.com/81979997/album/1127959
http://www.meitukong.com/81979997/album/1127885
http://www.meitukong.com/81979997/album/1127844
http://www.meitukong.com/81979997/album/1127818
http://www.meitukong.com/81979997/album/1127792
http://www.meitukong.com/81979997/album/1127768
http://www.meitukong.com/81979997/album/1127744
http://www.meitukong.com/81979997/album/1127724
http://www.meitukong.com/81979997/album/1127699
http://www.meitukong.com/81979997/album/1127682
http://www.meitukong.com/81979997/album/1127663
http://www.meitukong.com/81979997/album/1127648
http://www.meitukong.com/81979997/album/1127633
http://www.meitukong.com/81979997/album/1127614
http://www.meitukong.com/81979997/album/1127599
http://www.meitukong.com/81979997/album/1127585
http://www.meitukong.com/81979997/album/1125596
http://www.meitukong.com/81979997/album/1122431
http://www.meitukong.com/81979997/album/1119326
http://www.meitukong.com/81979997/album/1117511
http://www.meitukong.com/81979997/album/1117494
http://www.meitukong.com/81979997/album/1117477