Transforming Coordinate Function Points Into 2D or 3D Graphics: An Algorithmic Approach

Our research demonstrates the process of converting paper graphs into corresponding coordinates on a computer screen, whether in two-dimensional or three-dimensional form, through simplified mathematical equations. These equations are designed to enable users to comprehend their structure and develop their own code, avoiding reliance on ambiguous pre-built programs. To accomplish this, the initial phase involved understanding graph reading and interpretation methods through an extensive literature review. The process of transforming coordinate function points into 2D or 3D graphics involves several essential stages (Function Definition; Point Generation; Coordinate Transformation; Projection (for 3D Graphics); Rendering). In 3D graphics, converting a 3D point to a 2D perspective projection is crucial for rendering realistic scenes on a 2D screen. This conversion creates the illusion of depth and distance in computer-generated images. The research presented here offers a solution to the challenge of converting two- and three-dimensional coordinates in diverse fields of computer graphics. It provides students with a straightforward method to comprehend and manage these transformations.