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Animation and CGI Motion
- 12 Sequences
- Advanced Level
- Starts on January 31, 2021
- Ends on May 3, 2021
Course details
Syllabus
The coursework will focus on seven themes. Each theme is divided into weekly assignments, or "milestones." Each milestone will include successful implementation of new technical features, and an artistic scene that demonstrates these features. Theme 01: Mass-spring systems , in which you will implement point masses, gravity, springs, dampers, time integrators (explicit Euler, symplectic Euler, linearized implicit Euler). Theme 02: Collision handling , in which you will implement detection against fixed obstacles (discs, half-planes, polygonal objects), response against fixed obstacles (using reflection with a coefficient of restitution, and penalty methods), advanced pairwise detection between polygonal objects, and broad-phase accelerations using spatial hashing and hierarchical bounding volumes. Theme 03: Rigid bodies , in which you will implement computations of center of mass and moment of intertia for polygonal objects, time integration for rigid bodies, and contact with fixed obstacles. Theme 04: Elastica , in which you will implement the constant strain finite element, a discrete bending force for polygonal objects, and plastic and viscous flow. Theme 05: Fluids , in which you will implement a fast and stable fluid simulation including advection, convection, and viscosity, in an Eulerian framework. Theme 07: Project , in which you are the boss.
Prerequisite
Programming knowledge in C or C++, multivariable calculus (partial derivatives), linear algebra, enthusiasm.
Recommended background: introductory classical mechanics.
NOT-requisites: physics, computer graphics are not required. We will present introductions to these topics along the way, as needed.
Instructors
Eitan Grinspun
Department of Computer Science
Columbia University
Editor
Columbia University is a private university located in Morningside Heights, in the north-western part of the borough of Manhattan, in New York (United States). Its origins lie in King's College, founded in 1754 by King George II of Great Britain. It is one of the oldest institutions of higher learning in the United States and is part of the Ivy League group of eight of the country's oldest, most famous, most prestigious and most elitist universities.
Columbia is one of the most selective and prestigious universities in the world. The admission rate was 5.1% in 2019, comparable to Harvard and Stanford. Ranked first in the United States for research, it is sixth in the world (fourth in the United States) in the CUWR ranking of the world's top 1,000 universities and eighth in the Shanghai University Rankings.
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