Hybrid image templates over scales
There is a continuous transition from cartoon sketches (low complexity or low entropy), to object (mixing sketches and textures), to stochastic texture (no sketch), and finally to flatness (pure Gaussian noise with small variance) when we scale down the images. Therefore the hybrid image templates must also change over scales. In the following illustration , we show the learned HiT's of cat at four distinct scales. Consider an image patch of cat's whisker. At a very fine scale, individual whiskers are recognizable and many sketches are used to describe the image patch. At a coarse scale, the whisker becomes texture. In other words, each patch exists only for a range of scales.
