Physically-based Simulation in Computer Graphics

VORL; 4 SWS; ECTS: 5; Prof. Dr.-Ing. Tobias Günther

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Description

Over the past decades, computer graphics became a vital component of the entertainment industry. Whether in regards to video games, animation movies, or visual effects in live action productions, computer animation brings virtual worlds to life. Thereby, physically-based simulations are required to reach the necessary degree of realism. Based on differential equations and numerical methods to solve them, this lecture will cover a series of algorithms used to implement physically-based simulations.

Content

The lecture covers the following topics:

kinematics and dynamics of motion (generalized coordinates),
numerical time integration techniques (explicit and implicit time integration),
rigid bodies (simulation, collision detection and response),
deformable objects (mass-spring-systems, finite-elements and thin shells),
grid-based fluid simulation (fractional step method),
particle-based fluid simulation (smoothed particle hydrodynamics and viscosity),
hybrid fluid simulation (fluid implicit particle FLIP, liquid-air interfaces),
adding detail to smoke, fire (vorticity confinement, wavelet turbulence),
shallow water waves and oceans

The practical course consists of lectures and programming exercises. This course is taught in English.

Grading

The course is concluded with an oral exam in presence (30 minutes) at the end of the semester, which fully determines the course grade. The programming exercises are mandatory and a passing score of 80% is required to complete the ungraded certificate.

Goals and Competences

Students are able to:

apply numerical time integration methods at practical examples
derive and analyze the properties of equations of motion
set appropriate boundary conditions
compare numerical solvers regarding stability, accuracy and performance
describe different techniques for rigid body, deformable, and fluid simulations
implement the algorithms in C++

Lecture Recordings

Pre-recordings of the lectures are made available on FAU.tv.

Registration

The course is open for registration in the weeks prior to the start of the summer semester. At any other time, you can send your IdM to ✉ tobias.guenther@fau.de and ask for admittance into the StudOn course.

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