Degree in Engineering in ICT Management

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Physics Simulation

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Description
In this subject, several themes about physics simulation applied to graphics are explained and new mathematic concepts are learned. Students will work on motivating, funny and creative projects. Among other techniques, students will work on: particle dynamics and hair, textile, rigid solids, object collision and human behavior dynamics.
Type Subject
Optativa
Semester
Second
Credits
6.00
Previous Knowledge

Knowledge about differential and functional equations with several variables is welcome. In other case, consult with the professor.

Objectives
Contents

1. Differential equations.

Introduction to EDOS´s numerical solutions.

2. Implicit integration and particles.

EDOS will be used to solve problems about particle dynamics.

3. Symplectic integration and links.

Mathematic and algorithmic treatment of particle systems with links.

4. Rigid solids dynamics.

Rigid solid´s movement equations.
Orientation. Angular velocity.
Conservation and strength.
Inertia tensors.
Green theorem.

5. Rigid solids collision.

Collision detection.
Kinds of collision calculus.
Collisions reactions.

6. Orientation and rotations.

Group theory.
SO(3)
Quaternions
SU(2)
Dual quaternions

7. Movement capture.

Movement-data structure to simulate human dynamics.
Resemblance between movements and metrics.
Low-cost-movement-capture system.
OPEN NI

Methodology
Evaluation
Evaluation Criteria
Basic Bibliography
Additional Material