A New Class of Filters for Image Interpolation and Resizing

We propose a new set of kernels to simplify the design of filters for image interpolation and resizing. Their properties are defined according to two parameters, specifying the width of the transition band and the height of the first sidelobe. By varying these parameters we can get very good approximations of many commonly-used interpolation kernels. Furthermore, because the Fourier transforms of these kernels have very fast decay, they can also be used for downsampling.