A Very Simple Approach for 3-D to 2-D Mapping

TL;DR

This paper introduces a straightforward method for mapping 3-D functions to 2-D screens, avoiding complex pre-operations of existing graphics libraries, and is compatible with basic 2-D graphics systems.

Contribution

The paper presents a simple, system-agnostic 3D to 2D mapping technique that simplifies visualization without relying on complex graphics library pre-processing.

Findings

Compatible with primitive 2-D graphics functions

Facilitates inverse transformations and basic graphics operations

Simplifies 3D visualization process

Abstract

Many times we need to plot 3-D functions e.g., in many scientificc experiments. To plot this 3-D functions on 2-D screen it requires some kind of mapping. Though OpenGL, DirectX etc 3-D rendering libraries have made this job very simple, still these libraries come with many complex pre- operations that are simply not intended, also to integrate these libraries with any kind of system is often a tough trial. This article presents a very simple method of mapping from 3D to 2D, that is free from any complex pre-operation, also it will work with any graphics system where we have some primitive 2-D graphics function. Also we discuss the inverse transform and how to do basic computer graphics transformations using our coordinate mapping system.