Animation and CGI Motion
date_range Débute le 4 février 2019
event_note Se termine le 6 mai 2019
list 12 séquences
assignment Niveau : Avancé
chat_bubble_outline Langue : Anglais
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Les infos clés

credit_card Formation gratuite
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timer 96 heures de cours

En résumé

How do you create realistic animations? How do you predict the motion of materials? It’s key to the success of animated films to ensure (was insure) audiences believe in characters.

This course will show you how to create lifelike animations focusing on the technical aspects of CGI animation and also give you a glimpse into how studios approach the art of physically-based animation.

You will learn the fundamental concepts of physical simulation, including:

  1. integration of ordinary differential equations such as those needed to predict the motion of a dress in the wind.
  2. formulation of models for physical phenomena such as crumpling sheet metal and flowing water.
  3. treatment of discontinuities such as fractures and collisions.
  4. simulation of liquids and solids in both Lagrangian and Eulerian coordinates.
  5. artistic control of physically-based animations.

These concepts will be put into practice in the programming assignments spanning:

  • Discretizing and integrating Newton’s equations of motion
  • Constrained Lagrangian Mechanics
  • Collisions, contact, and friction: detection and response
  • Continuum mechanics
  • Finite elements
  • Rigid body simulation
  • Thin shell and cloth simulation
  • Elastic rod and hair simulation
  • Fluid simulation
  • To code your own physics simulator to master the fundamental algorithms for creating lifelike animations clothing, hair, liquids, rigid bodies and more!
  • Temporal integration of the equations of motion
  • Formulation of mathematical models for mechanical systems
  • Numerical methods for treating contact and impact
  • Lagrangian and Eulerian representations of continua control of physical models

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Les prérequis

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.

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Le programme

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.

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Les intervenants

Eitan Grinspun
Department of Computer Science
Columbia University

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Le concepteur

For more than 250 years, Columbia has been a leader in higher education in the nation and around the world. At the core of our wide range of academic inquiry is the commitment to attract and engage the best minds in pursuit of greater human understanding, pioneering new discoveries and service to society.
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La plateforme

EdX est une plateforme d'apprentissage en ligne (dite FLOT ou MOOC). Elle héberge et met gratuitement à disposition des cours en ligne de niveau universitaire à travers le monde entier. Elle mène également des recherches sur l'apprentissage en ligne et la façon dont les utilisateurs utilisent celle-ci. Elle est à but non lucratif et la plateforme utilise un logiciel open source.

EdX a été fondée par le Massachusetts Institute of Technology et par l'université Harvard en mai 2012. En 2014, environ 50 écoles, associations et organisations internationales offrent ou projettent d'offrir des cours sur EdX. En juillet 2014, elle avait plus de 2,5 millions d'utilisateurs suivant plus de 200 cours en ligne.

Les deux universités américaines qui financent la plateforme ont investi 60 millions USD dans son développement. La plateforme France Université Numérique utilise la technologie openedX, supportée par Google.

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