Foundations of Computer Graphics: Core Concepts and Algorithms

Computer graphics power everything from user interfaces to modern rendering engines, but mastering them requires a solid grasp of the underlying mathematics and algorithms. This course breaks down complex graphical concepts into clear, digestible written explanations. You will transition from understanding basic pixel representation to analyzing complex geometric transformations and clipping algorithms, building a strong academic foundation in computer science. What you'll learn: Understand foundational computer graphics terminology, hardware displays, and rasterization techniques; Apply mathematical principles to perform 2D and 3D geometric transformations and composite operations; Implement classic line clipping and point clipping algorithms, including Cohen-Sutherland; Analyze projection methods, window-to-viewport mappings, and 3D viewing pipelines; Explore modern rendering concepts, including the basics of shaders and the graphics pipeline. The course starts with essential definitions and display technologies before progressing to coordinate systems, clipping algorithms, and multi-dimensional transformations. You will read detailed explanations, walk through mathematical proofs, and solve practice problems designed to reinforce your understanding. This course is designed for computer science students, exam aspirants, and self-taught programmers seeking a rigorous introduction to graphics theory without requiring prior graphics programming experience. Start reading today to master the mathematical core of computer graphics.