
{"publication_number": "US-8369417-B2", "abstract": "an optimal denoising method for video coding . this method makes use of very few pixels and linear operations , and can be embedded into the motion compensation process of video encoders . this method is simple and flexible , yet offers high performance and produces appealing pictures .", "application_number": "US-75049807-A", "description": "the numerous innovative teachings of the present application will be described with particular reference to the presently preferred embodiment ( by way of example , and not of limitation ). as shown in fig1 , a video sequence is composed of many consecutive frames . in the video sequence , assume there is a point object which can be tracked in all the frames . suppose the original intensity value of this point object in frame k is x k , and the observed value is where n k is the undesirable noise . n k is assumed zero mean , with variance \u03c3 n 2 . it is also assumed that n k is independent over space and time and independent of x k . ideally , x k should be the same for all k . however , due to many reasons including inaccurate motion estimation , changing light conditions , and deforming objects , x k changes from one frame to another . this can be described as where z i , k represents the innovation in x k compared to x i . z i , k is a random variable with mean z i , k and variance \u03c3 z ( i , k ) 2 \u00b7 z i , k is assumed to be independent of n k and x i . a preferred embodiment will use some or all of { y 1 , y 2 , . . . 