Mathematical Models of Visual Information Processing in the Human Brain and Applications to Image Processing

In this lecture I give a survey of joint works of Hitoshi Arai and Shinobu Arai. The main purpose of our study is to construct mathematical models of visual information processing in the brain, and to give applications to image processing. On the past few decades, several studies have been made on mathematical models of visual information processing in the human brain. Our new models are constructed by using simple pinwheel framelets ([4]) and pinwheel framelets ([6]), which are a new class of the so-called framelets1. Before going to the main body of this lecture, we review (simple) pinwheel framelets