The size of the images used by mobile users is increasing day by day. Therefore, it is important to decrease the processing time of such images. There is a need both in the design of new, more efficient methods of image quality enhancement, and in the acceleration of algorithmic procedures used for this purpose. The new solution to the problem of image enhancement through its pre-processing based on piecewise linear stretching and the use of the algebraic Logarithmic Image Processing (LIP) model is proposed. The novelty is in the implementation of piecewise linear stretching in the algebraic LIP model. Due to this, it is possible to replace the sequential procedure of image processing with processing only by a new algebraic model with asymmetric properties of its generator. The new LIP model uses a control parameter that actually determines the specific method of piecewise linear transformation of the input image. This transformation is characterized by the fact that the minimum and maximum gray level values of the input image always take the smallest and the largest possible values of the range respectively. At that, the nodal point of the piecewise linear transformation always takes the value of the middle of the possible range. This structure of the new LIP model ensures the parallel organization of calculations and reduces the number of steps in the image processing procedure.