Numerical Integration Based Contrast Enhancement Using Simpson’s Method

This paper is based on mathematical numerical integration method and provides an efficient algorithm for improving the contrast of an image. The aim of this unique method is to use neighboring pixel information and process them in accordance with mathematics (Simpson’s \({\frac{1}{3}}\)rd rule) to improve contrast of images. Simpson’s rule is a numerical integration method for the accurate approximation of definite integrals. It gives the exact results for polynomials of degree three or less. We use the neighboring pixel information, interpolate among them, and produce the enhanced pixel information. Various parameters like Root Mean Square Error (RMSE), Peak-Signal-to-Noise-Ratio (PSNR) and Structural Similarity Index (SSIM) are used to measure the quality of the images. The experimental results of the proposed method are compared with some existing methods for further validation. Also, the computational time of the proposed method is much less as compared to the different existing methods.