Description: Linear interpolation is a mathematical method used to estimate intermediate values between two known points in a space. This approach is based on the premise that the values between these points can be represented linearly, that is, following a straight line. In more technical terms, if there are two points on a plane, (x0, y0) and (x1, y1), linear interpolation allows calculating the value of y for an intermediate value of x using the line equation, which is given by y = y0 + (y1 – y0) * (x – x0) / (x1 – x0). This method is widely used in computer graphics, where it is necessary to smooth transitions between colors, positions, or textures. The simplicity and efficiency of linear interpolation make it a fundamental tool in various applications, from animation to surface modeling. Additionally, its implementation is relatively straightforward, making it accessible to programmers and graphic designers. In summary, linear interpolation is an essential method in computer graphics that allows for effective and precise estimation of intermediate values.
