Old Well

Department of Computer Science
College of Arts and Sciences
The University of North Carolina at Chapel Hill

COMP259: Physically-Based Modeling, Simulation and Animation

COMP 259: Physically-Based Modeling, Simulation and Animation

Instructor: Ming C. Lin

Time and Place: MW 2:00-3:15pm, SN011
Office Hours: MW 3:15-4:15pm, SN223
Prerequisites: COMP205 (Scientific and Geometric Computing) AND COMP136 or COMP235 (Images, Graphics and Vision) OR Instructor's approval
Textbook: Course Notes and In-Class Handouts


  • Course Overview
  • Lectures and Approximate Schedule
  • Course Reading Materials
  • Assignments and Projects
  • WEBS of Physically-Based Modeling & Animation
  • Geometric Algorithms & Software Available on the Web
  • Additional Reference Materials
  • Conferences in Related Areas
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    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:

  • Geometry
  • Collision Detection
  • Computing Contact Manifolds
  • Mechanics
  • Particle Dynamics
  • Rigid Body Dynamics
  • Non-Rigid Body Dynamics
  • Numerical Computing
  • Initial Value Problems
  • Boundary Value Problems
  • Constraints & Differential-Algebraic Equations
  • 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
  • Rapid Prototyping
  • Haptic Rendering
  • Computer Game Dynamics
  • Robotics and Automation
  • Medical Simulation and Analysis
  • 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.




    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 (Wed, Jan 9, 2002)
  • Basics of Motion Generations for Animation (Mon, Jan 14, 2002)
  • ODE Basics: Initial Value Problem (Wed, Jan 16, 2002)
  • MLK, NO CLASS (Mon, Jan 21, 2002)
  • Particle System Dynamics (Wed, Jan 23, 2002)
  • Constrained Dynamics (Mon, Jan 28, 2002)
  • Hair & Fur Modeling (Wed, Jan 30, 2002)
  • Simplification of Particle System Dynamics (Mon, Feb 4, 2002)
  • Implicit Methods & Cloth Simulation (Wed, Feb 6, 2002)
  • Cloth Simulation & Modeling Ocean Waves (Mon, Feb 11, 2002)
  • In-Class Demos (Wed, Feb 13, 2002)
  • Collision Detection: Basics & Convex Polyhedra (Mon, Feb 18, 2002)
  • Collision Detection: BVHs & Spatial Partitioning (Wed, Feb 20, 2002)
  • Rigid Body Dynamics (I) (Mon, Feb 25, 2002)
  • Rigid Body Dynamics (II) (Wed, Feb. 27, 2002)
  • Haptic Rendering (Mon, Mar 4, 2002)
  • Project Proposal (Wed, Mar 6, 2002)
  • SPRING BREAK (Mar 10-17, 2002)
  • Partitoned Dynamics and Modeling of Articulated Bodies (Mon, Mar 18, 2002)
  • Modeling of Articulated Bodies and Simulation Acceleration Techniques (Wed, Mar 20, 2002)
  • Creative Applications Using Haptics and Simulated Media (Mon, Mar 25, 2002)
  • Hardware Accelerated Proximity Queries (Wed, Mar 27, 2002)
  • Physically-Based Sound (Mon, Apr 1, 2002)
  • In-Class Demos (Wed, Apr 3, 2002)
  • Project Update (Mon, Apr 8, 2002)
  • Intro to Modeling of Non-Rigid Bodies & Basics of FEM (Wed, Apr 10, 2002)
  • FEM & Applications (Mon, Apr 15, 2002)
  • Boundary Element Methods and its mathematics (Wed, Apr 17, 2002)
  • Computational Fluid Dynamics and Modeling of Smoke using CFD (Mon, Apr 22, 2002)
  • Modeling of Smoke and Dust with Particles & CFD and Modeling of Snow (Wed, Apr 24, 2002)
  • Flocking and Group Behaivors and Modeling of Water Droplets (Mon, April 29, 2002)
  • Physics for Games and Hecker's Adventures with IK (G-Lunch Talk) (Wed, May 1, 2002)
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    Reference Papers Used in Lectures:

  • SIGGRAPH Course Notes on Physically-Based Modeling
  • Reading List for the Class (updated throughout the semester)

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    Line The class grade of each student is determined by
  • Homework (30%)
  • Class Presentation (20%)
  • Final Project (50%)
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  • 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)
  • National Advanced Driving Simulator
  • University of Aukland, Bioengineering Research Group

  • Norman Badler
  • David Baraff (now at Pixar)
  • David Breen
  • Chris Bregler
  • Jessica Hodgins
  • Michael Gleicher
  • Dimitris Metaxas
  • Brian Mirtich (now at Cognex)
  • Richard Parent
  • Daniel Thalmann
  • Nadia Magnenat-Thalmann
  • Demetri Terzopoulos
  • Michiel van de Panne
  • Andy Witkin's Gallery (now at Pixar)

  • Boston Dynamics Inc.
  • Engineering Animation Inc.
  • Chris Hecker's Corner (Definition Six, Inc.)
  • GamaNetwork
  • Immersion Medical
  • MAYA (Alias|Wavefront)
  • Mathengine
  • Mechanical Dynamics Inc.
  • MSC.Working Knowledge
  • SensAble Technology
  • Symbolic Dynamics
  • Telekinesys
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    Line 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
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    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: The Art of Scientific Computing, by Press, Flanner, Teukolsky and Vetterling, Cambridge University Press, 1986.
  • 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.
  • 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.
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    For more information, contact Ming C. Lin, lin@cs.unc.edu.

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