The Application of Numerical Approximation Methods upon Digital Images
Ali Jassim Mohamed Ali · American Journal of Signal Processing · 2017
Numerous problems arise in diverse areas of science and engineering, as well as from the physical, computer, biological, economic, and even social sciences. The need for choosing such an application is more clearly and concisely demonstrate how shall the numerical technique be applied in such real-life situations. Numerical techniques, explore the required theory to get numerical solutions to the mathematical problem, especially when computer deals with such huge and complicated calculations. By assumption that the root is exist in image's gray level interval, an attempt to explorer the application of some numerical algorithms is tested here by using some numerical analysis algorithms. An estimation to the error bounds for each approximation process had been calculated. Bisection, Newton Raphson, Secant and False Position methods are some of these methods which have been used here upon some digital images. Among the various used approximation methods and according to subjective and quantitative evaluation results, one can be noted that the Bisection method is the best approximation technique. Besides, image's histogram plays the main role in sequencing such methods of approximations.