Simulate a first-order Bézier curve in image encoding

Abstract

Bézier curve of the first rank is a simple equation in terms of form, but it is characterized by the nature of private transactions making it difficult to use in image encryption because the dispersion of color values is not enough, this results in an encrypted image that gives clear references to the original image. This weakness in the equation does not exist in the case of text encryption where enough to change the numerical values of the components of the text to get a digital matrix representing the encrypted text.Through this algorithm we have used the Bézier curve technique from the first order of image coding we used a new method to generate the coefficients of the equation where we simulated the Bazier equation where it became as follows: • y=x_1*(t-1)+x_2*t • Where 0<t<1 To illustrate the work of this technology in image encoding the core of our work is in choosing a vector (1 × 4) with four numerical components )k_1, k_2, k_3, k_4 ( So that k_1<k_2 and k_3 <k_4, k_1 and k_2 have the same signal, as well as k_3 and k_4 also have the same reference to give them t_1 and t_2 Where t_1=k_1/k_2 and t_2=k_3/k_4 which will ensure that both have t_1 and t_2 have positive values less than 1. We have thus designed the equation of Bézier curve suitable for a scattering of color values of the image process, as well we’ll see it by explaining the way in detail below and tables of readings and global standards that have been inferred by the application of the algorithm

Photovoltaic Modeling: A Comprehensive Analysis of the I–V Characteristic Curve

“…The Bézier curve (see Figure 5a) is one of the widely used tools in computer graphics design for creating parametric curves [102][103][104]. In simple terms, these curves are constructed using an nth-order Bernstein polynomial function which has been defined mathematically as [44,102,105]…”