/Physics-based_Animation_2021S

Primary LanguageC++

Physics-based Animation 4860-1081

Linux Windows
BuildTasks BuildTasks

under construction

Lecture at graduate school of information science and technology in the university of Tokyo, spring semester, 2021

ITC-LMS (for Slack and GitHub Classroom invitaitons):

Instructor

Dr. Nobuyuki Umetani

Time

Monday 3rd period, 13:00pm - 14:30pm

Course Description

Computer-generated images are everywhere in movies, video games, and VR. This course is an introduction to the techniques to animate objects in computer graphics based on the law of physics. The aim of the course is to get familiar with applied mathematics such as linear algebra, vector analysis, partial differential equations, variational principle, optimization, and numerical analysis through the animation techniques for particle systems, rigid bodies, elastic bodies. There are C++ programming assignments to acquire research-oriented graphics programming skills.

Topics:

  • mass-spring simulation
  • rigid body simulation
  • elastic body simulation
  • cloth and hair modeling & simulation
  • collision-detection using spatial hashing
  • finite boundary method

Lecture Schedule

Day Topic Assignment Scribble Slide
(1)
Apr. 5		 Introduction
 [1], [2]
(2)
Apr. 19		 Data Structure
data structure for simulation
Implicit surface		 task0
deadline: Apr.22th		 [2]
(3)
Apr. 26		 Time Integration
Newtonian-mechanics
backward & forward Euler method,
particle system		 task1
deadline: Apr. 29th		 [14], [3]
(4)
Mar. 10		 Broad-phase Collision Detection
princepal component analysis
sort & sweep method
bounding volume hierarchy		 task4
deadline: May. 13th		 [18], [5]
(5)
May. 17		 Numerical Optimization
Hessian & Jacobian,
Newton-Raphson method		 task2
deadline: May 20th		 [19]
(6)
May. 24		 Simple Deformation Energy
mass-spring system		 task3
deadline: May 27th		 [1], [2], [3] [6]
(7)
May. 31		 Solving Large Linear System
Sparse matrix data structure
Conjugate gradient method		 task5
deadline: June 3rd		 [8],[20]
(8)
Jun. 7		 Optimization with Constraint
Lagrange multiplier method
Rigid Body Dynamics
Rotation representation		 task6
deadline: June 10th		 [4], [5] [9],[21]
(9)
Jun. 14		 Rigid Body Dynamics2
inertia tensor,
angular velocity
impulse based method		 task7
deadline: June 17th		 [10]
(10)
Jun. 21		 Lagrangian mechanics
Variational time integration
Continuum Mechanics
tensor		 task8
deadline: June 24th		 [6], [7] [17], [16]
(11)
Jun. 28		 Continuum Mechanics2
Mesh interpolation
Tensor		 task11
deadline: July 1st		 [8], [9], [10] [4], [12]
(12)
Jul. 5		 Geometric Deformation
singular value decomposition,
shape matching method,
linear blend skinning,
as-rigid-as possible deformation		 task9
deadline: July 8th		 [22]
(13)
Jul. 12		 Advanced Interpolation
mean value coordinate,
radial based function		 [11], [12] [23]

Grading

  • 20% lecture attendance
    • Counted by attending the lecture, asking question, and making comments ...etc
    • Number of question counts: maximum 1 count for 1 lecture, 5 2 counts for entire course
    • Attendance is counted based on writing a secret keyword on LMS. The keyword is announced for each lecture.
  • 80% small assignemnts
    • see below

Assignemnts

There are many small programming assignments. To do the assignments, you need to create your own copy of this repository through GitHub Classroom. These assignements needs to be submitted using pull request functionality of the GitHub. Look at the following document.

How to Submit the Assignments

Policy

  • Do the assignment by yourself. Don't share the assignments with others.
  • Don't post the answers of the assignment on Slack
  • Late submission of an assignment is subject to grade deduction
  • Score each assignemnt will not be open soon (instructer needs to adjust weight of the score later)

Tasks

  • task0: Make C++ Program with CMake
  • task1: Particle System
  • task2: Optimization
  • task3: Mass-spring system
  • task4: Sort & Sweep Method
  • task5: Solving Large Linear System
  • task6: Optimization with Constraints
  • task7: Optimization of Rotation
  • task8: Variational Implicit Euler
  • task9: Shape Matching Method
  • task11: Inertia Tensor

Slides

Reading Material