Department of Computer Science
College of Arts and Sciences
The University of North Carolina at Chapel Hill
COMP768 (old 259): Physically-Based Modeling, Simulation and Animation
COMP 768 (old 259): Physically-Based Modeling, Simulation and Animation
- Time and Place: TR 12:30-1:45pm, SN011
- Office Hours: TR 2:00-3:00pm, SN223
- TA: Xin Huang, T 3:30am - 4:30pm, SN#341
- Prerequisites: old Math 166 AND
old COMP136 OR
Instructor's approval
- Textbook: Course Notes and In-Class Handouts
COURSE OVERVIEW:
Physically-based modeling and simulation attempts to map a natural
phenomena to a computer simulation program. There are two basic processes
in this mapping: mathematical modeling and
numerical solution. The goal of
this course is to understand both of them. The mathematical modeling
concerns the description of natural phenomena by
mathematical equations. Differential equations that govern dynamics
and geometric representation of objects are typical
ingredients of the mathematical model.
The numerical solution involves computing an efficient and accurate
solution of the mathematical equations. Finite precision of numbers,
limited computational power and memory forces us to approximate the
mathematical model with simple procedures.
In this course, we will study various techniques to simulate the physical
and mechanical behavior of objects in a graphical simulation or a virtual
environment. Students will learn about implementation of basic simulation
programs that produce interesting results and verify its correctness. The
course will cover three basic components in physically-based modeling and
simulation:
The goal of this class is to get students an appreciation of
computational methods for modeling of motions in the physical and
virtual world. We will discuss various considerations and tradeoffs
used in designing simulation methodologies (e.g. time, space, robustness,
and generality). This will include data structures, algorithms,
computational methods and simulation techniques, their complexity
and implementation. The lectures will also cover some applications of
physically-based modeling and simulation to the following areas:
Computer Animation
Virtual Environments
Medical Simulation and Analysis
Special Effects Generation
Computer Game Dynamics
Rapid Prototyping for Design
Haptic Rendering/Interfaces
Robotics and Automation
Bio-informatics
Depending on the interests of the students, we may also cover
geometric-based simulation techniques, such as constraint-based
systems, inverse dynamics, kinematics of motions, motion
planning, synethesis and generation of autonomous agents.
LECTURES AND APPROXIMATE SCHEDULE
Here is a list of TENTATIVE lecture topics (subject to
changes). Schedule and information on each topic (e.g. readings, web
pointers) will be added during the semester before each class.
Overview (Tues, Aug 21, 2007)
Basics of Motion Generations for Animation
(Thurs, Aug 23, 2007)
Inverse Kinematics and
ODE Basics: Initial Value Problem
(Tues, Aug 28, 2007)
ODE &
Intro to Particle Dynamics (Thurs, Aug 30, 2007)
Particle Systems (Tues, Sept 4, 2007)
Particle Sysem Dynamics Simplification
(Thurs, Sept 6, 2007)
Implicit Methods (Tues, Sept 11, 2007)
Constrained Dynamics (Thurs, Sept 13, 2007)
In-Class Demos (HW#1) (Tues, Sept 18, 2007)
Review on Comp Geom (Thur, Sept 20, 2007)
Collision Detection: Basics & Convex Polyhedra
(Tues, Sept 25, 2007)
Collision Detection: Convex Polyhedra
(Thur, Sept 27, 2007)
Collision Detection: BVHs & Spatial Partitioning
(Tues, Oct 2, 2007)
Rigid Body Dynamics (I)
(Thur, Oct 4, 2007)
Collision Detection: BVHs & Spatial Partitioning
(Tues, Oct 9, 2007)
Rigid Body Dynamics (II) &
(Thur, Oct 11, 2007)
Kinetic Data Structures for Collision Detection
& Collision Detection for Deformable Models
(Tues, Oct 16, 2007)
FALL BREAK (October 18-21, 2007)
Guest Lecture on
Show Reality or Trustable Imposters
(Tues, Oct 23, 2007)
Articulated Body Dynamics: Basics
& Articulated Body Dynamics: Recent Techniques
(Thur, Oct 25, 2007)
Articulated Body Dynamics with Contact Handling &
Control of Articulated Bodies
(Tues, Oct 30, 2007)
Control of Articulated Bodies
(Thurs, Nov 1, 2007)
Versatile Human Behavior Generation via Dynamic,
Data-Driven Control
(Tues, Nov 6, 2007)
Constraint & Path Following &
Intro to Physics-Based Deformable Body Modeling
(Thur, Nov 8, 2007)
Intro to Physics-Based Deformable Body Modeling
& Space deformations & Skeleton driven deformations
(Tues, Nov 13, 2007)
Introduction to Computational Fluid Dynamics
(Thur, Nov 15, 2007)
Simulating Hair Dynamics &
Physics-Based Medical Image Registration
(Tues, Nov 20, 2007)
THANKSGIVING
(Thur, Nov 22, 2007)
Physics-Based Medical Image Registration &
Realtime Simulation of Tissue Deformation/Cutting
(Tues, Nov 27-29, 2007)
Realtime Simulation of Tissue Deformation & Cutting
& Simulating Granular Material
(Thur, Nov 29, 2007)
Simulating Granular Material
& Modeling of Plants
(Tues, Dec 4-6, 2007)
Sound Synthesis
& Sound Propagation
(Thur, Dec 6, 2007)
COURSE READING MATERIALS
Reference Papers Used in Lectures:
SIGGRAPH
Course Notes on Physically-Based Modeling
Reading List for the Class
(updated throughout the semester)
ASSIGNMENTS AND PROJECTS
The class grade of each student is determined by
Homework (30%)
Class Presentation (20%)
Final Project (50%)
POINTERS TO WEBSITES ON PHYSICALLY-BASED MODELING & ANIMATION:
SELECTED RESEARCH GROUPS:
UNC Research Group
on Geometric Algorithms for Modeling, Motion and Animation
UNC Interactive
Collision Detection and Proximity Queries Packages
Simlab:
Computer Tools for Analysis and Simulation (Cornell)
iMAGIS
(GRAVIR / IMAG research lab / INRIA)
Center for Human Modeling and
Simulation(UPENN)
MIRALab (University of Geneva)
Rutgers Computational Biomedicine
Imaging and Modeling (Rutgers)
National Advanced Driving Simulator
University
of Aukland, Bioengineering Research Group
RESEARCHERS
Norman Badler
David Baraff (now at Pixar)
Ronan Boulic
David Breen
Chris Bregler
Robert Bridson
Marie-Paule Cani
Stephen Chenney
Mathieu Desbrun
Petros Faloutsos
Ron Fedkiw
Eugene Fiume
Doug James
Jessica Hodgins
Michael Gleicher
Hyeong-Seok Ko
Dimitris Metaxas
Brian
Mirtich (now at Cognex)
James O'Brien
Carol O'Sullivan
Richard Parent
Dinesh Pai
Nancy Pollard
Jovan Popovic
Zoran Popovic
Jos Stam
Peter Schroder
Karan Singh
Daniel Thalmann
Nadia Magnenat-Thalmann
Demetri Terzopoulos
Yizhou Yu
Michiel van de Panne
Andy
Witkin's Gallery (now at Pixar)
INDUSTRY
Boston Dynamics Inc.
Chris Hecker's Corner (Definition Six, Inc.)
GamaNetwork
Havok
Immersion Corporation
MAYA
(Alias|Wavefront)
MSC.Working Knowledge
Pixar Animation Studios
Rhythm & Hues Studios
SensAble Technology
Telekinesys
GEOMETRIC ALGORITHMS AND SOFTWARES AVAILABLE ON THE WEB:
Here are just some possible locations to find geometric software/libraries
and algorithmic toolkits you may need:
Internet
Finite Element Resources
A comprehensive
collection of geometric software
CGAL: Computational
Geometry Algorithms Library (in C++)
LEDA:
Library of Efficient Datatypes and Algorithms (in C++)
The Stony
Brook Algorithm Repository: Implementation in C, C++, Pascal and Fortran
CMU's Computer Vision Homepage
Finite element
mesh generation and
More
Machine learning resources
ADDITIONAL REFERENCE MATERIALS
Other Reference Books in Computer Animation:
Making Them Move: Mechanics, Control and Animation of Articulated
Figures, by Badler, Barsky and Zelter, Morgan Kaufmann Publishers, 1991.
Advanced Animation and Rendering Techniques: Theory and Practice,
by A. Watt and M. Watt, 1992.
Computer Animation: Algorithms and Techniques, by Rick Parent, 1999.
Other Reference Books in Mechanics:
Concepts and Applications of Finite Element Analysis,
by R. D. Cook, D. S. Malkus and M. E. Plesha, John Wiley & Sons, 1989.
Finite Element Procedures, by K.-J. Bathe, Prentice Hall, 1996.
First Course in Continuum Mechanics, by Y.C. Fung,
Prentice Hall, 1993.
Other Reference Books in Numerical Methods:
Numerical Recipes,
by Press, Flanner, Teukolsky and Vetterling, Cambridge University Press.
Handbook
of Numerical Analysis, edited by Ciarlet and Lions, Vol. I - VI,
North-Holland, 1994.
Other Reference Books in Robotics:
Robot Motion Planning, by Latombe,
Kluwer Academic Publishers, 1991.
Planning Algorithms, by LaValle,
Cambridge University Press, 2006.
Robot Manipulators: Mathematics, Programming, and Control,
by R. P. Paul, MIT Press, 1981.
Other Reference Books in Geometry:
Computational Geometry (Algorithms and Applications), by de Berg,
van Kreveld, Overmars and Schwarzkofp, Springer-Verlag, 1997.
Computational Geometry In C (Second Edition), by
O'Rourke, Cambridge University Press, 1998.
Handbook on Discrete and Computational Geometry, by Goodman and
O'Rourke (eds), CRC Press LLC, 1997.
Applied Computational Geometry: Toward Geometric Engineering,
by Lin and Manocha (eds), Springer-Verlag, 1996.
Algorithms in Combinatorial Geometry, by Edelsbrunner,
Springer-Verlag, 1987.
Computational Geometry (An Introduction), by Preparata and Shamos,
Springer-Verlag, 1985.
For more information, contact
Ming C. Lin,
lin@cs.unc.edu.
Copyright 1999-2007.
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