Introduction to Computer Animation Algorithms: Kinematics and Simulation

Behind every fluid character movement and realistic explosion in modern digital media lies a complex web of mathematical algorithms. Understanding how to program these movements is essential for any aspiring graphics developer, game programmer, or technical artist. This course guides you through the fundamental principles of computer animation algorithms from the ground up. You will transition from understanding basic keyframing to grasping complex physics-based simulations, inverse kinematics, and modern machine-learning-driven motion synthesis, all through detailed written explanations and algorithm logic. What you'll learn: - Understand the mathematical foundations of keyframing, interpolation, and spline-based curves. - Calculate character joint movements using forward and inverse kinematics algorithms. - Apply basic physics principles to simulate rigid body dynamics, gravity, and collisions. - Explore optimization techniques and optimal control for natural character behavior. - Analyze how motion capture data is processed and mapped onto digital skeletons. - Discover modern data-driven and machine learning approaches to neural motion synthesis. The course begins with essential terminology and the mathematical basics of coordinates and curves, before moving systematically into kinematics, physical simulation, and advanced data-driven control methods. You will read through theoretical breakdowns, analyze algorithm logic, and complete written review exercises to solidify your understanding. This course is designed for beginner programmers, game development enthusiasts, and technical artists who want to understand the mechanics behind animation software; no advanced mathematics background is required to start. Start exploring the mechanics of digital motion today.