Systems and methods for efficiently applying a filter to image data are disclosed. For efficiently applying the filter, a filter type including coefficient values for each pixel in the image data is identified. A sub-matrix corresponding to the size of the filter is selected in the image data. The sub-matrix includes the plurality of pixels that can be represented in a 2N form. Each coefficient value is a number that is in a 2M form. The system calculates an average value of multiplications of pixel values with the corresponding coefficient values of each of the plurality of pixels. The multiplication of a pixel value and corresponding coefficient value is calculated by shifting a binary representation of the pixel value M bits, and a division to calculate the average value is performed by shifting a binary representation of a sum of the multiplications N bits. The average value is then applied to the center pixel. The process is repeated by selecting a new sub-matrix until the end of the image data is reached.