The logarithmic image processing model and its applications

This paper presents a summary of operations of the logarithmic image processing (LIP) model and its applications. The LIP model is a mathematical framework which provides a set of generalised version of addition, subtraction, multiplication, convolution and so on, for signal processing. First, we briefly describe the LIP model and point out its distinctive properties for image processing. Then we summarize the current applications of the LIP model. A novel image filtering algorithm and its extension to multiscale processing along with the LIP model based Sobel operator for edge detection are discussed in detail. Finally, we suggest further research area of the LIP model.<>