运动估计( Motion Estimation)
    
  运动估计的应用有很多,最初的应用的领域是视频的编码。 
  
  运动估计算法一般分为: 像素递归法pel-recursive algorithm (PRA)和块匹配法 block-matching algorithm (BMA)。块匹配法是把图像分成若干矩形块,事先假定块做平移运动, 按照不同的准则函数对块进行匹配;像素递归法则是对每一个像素的位移进行估计。相对像素递归法,块匹配法的精确度比较较低, 但它的位移跟踪能力强, 在实际中很容易实现, 得到了广泛地应用。像素递归法中因为每个像素都参与,所以精度很高,但由于像素间距较小,因而实际使用中位移跟踪能力略逊一筹。
    
      块匹配算法的流程
    
  
  
  
    
  图一 块匹配算法的流程 
  
  
    
  在一个块匹配算法中,每一帧都将分为许多宏块,每个宏块由亮度块(luminance block)和色度块(chrominance block)组成。通常为了编码效率,只是在亮度块上进行运动估计。当前帧的宏块将与参考帧中指定范围内的候选宏块一一匹配,这些候选块可以看成是原始宏块对应不同位移量之后的宏块,最佳的匹配快将查找出来并记录。 
  
  
    
  由于位移是在三维空间的,而图像只是三维空间的实物在二维平面的投影,所以运动估计是一个病态问题(an ill-posed problem)。 
  
  
    
      
        运动补偿(Motion compensation)
      
    
  
  
    
  用当前帧图像的运动矢量来合成下一帧图像的变换就称为运动补偿(Motion compensation)。 
  
  
    
  运动补偿的例子: 
  
  
    
  The following is a simplistic illustrated explanation of how motion compensation works. Two successive frames were captured from the movie 
 
    
      Elephants Dream
    
    . As can be seen from the images, the bottom (motion compensated) difference between two frames contains significantly less detail than the prior images, and thus compresses much better than the rest. 
  
  | Type | Example Frame | Description | 
| Original | 
          
            
               
            
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        Full original frame, as shown on screen. | 
| Difference | 
          
            
               
            
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        Differences between the original frame and the next frame. | 
| Motion compensated difference | 
          
            
               
            
             | 
        Differences between the original frame and the next frame, shifted right by 2 pixels. Shifting the frame compensates for the panning of the camera, thus there is greater overlap between the two frames. | 

