# Average filter image processing

for a single image, then the laws of statistics states that for independent sampling of grey values, for a temporal average of n images, the standard deviation is:! • For example, if we want to double the signal to noise ratio, we could average 4 images.! Sqrt(n) σ Source: G Hager Slides! 25 Jun 19, 2014 · The values in a filter sub image are referred to as coefficients, rather than pixels. The process consists simply of moving the filter mask from point to point in an image. At each point (x, y), the response of the filter at that point is calculated using a predefined relationship. ©Yao Wang, 2006 EE3414: Image Filtering 8 Weighted Averaging Filter • Instead of averaging all the pixel values in the window, give the closer-by pixels higher weighting, and far-away pixels lower weighting. • This type of operation for arbitrary weighting matrices is generally called “2-D convolution or filtering”. When all the for a single image, then the laws of statistics states that for independent sampling of grey values, for a temporal average of n images, the standard deviation is:! • For example, if we want to double the signal to noise ratio, we could average 4 images.! Sqrt(n) σ Source: G Hager Slides! 25 Jan 30, 2013 · Low pass filtering also called “blurring” & “smoothing” is very basic filtering operations in image processing. The simplest low-pass filter just calculates the average of a pixel and all of its eight immediate neighbors. The result replaces the original value of the pixel. The process is repeated for every pixel in the image. filtering then each pixel is replaced by linear combination of its neighbor. Image filtering:- Some fxn Linear filtering:-* Fig-2-Evaluation of image filtering and linear filtering A.1 Box blur A box blur, also known as “moving average”, is a simple linear filter with a square kernel and it contains all the kernel coefficients equal.