The logarithmic image processing model is becoming increasingly important and being widely used in image processing field.This paper presents a novel parameterized symmetric logarithmic image processing (PSLIP) model which establishes a parameterized symmetric structure processing negative parts of the image.The proposed model not only adaptively adjusts the interesting parts of the image but also simultaneously processes the reflected light image and the transmitted light image.In order to verify the validity of PSLIP model

it is applied to edge detection and image enhancement

and forms PSLIP-Laplacian edge detection and PSLIP-image enhancement algorithm.The experimental results show that it outperforms available logarithmic image processing model in both respects.