Physical-based Animations and Mathematical Modeling Material: Rozdiel medzi revíziami
| Riadok 20: | Riadok 20: | ||
== D-E-A-D-L-I-N-E-S == | == D-E-A-D-L-I-N-E-S == | ||
| + | * Animators team (Axx): <b>deadline 14.12.2015 the last lecture</b> | ||
| + | ** Show your animation, how far have you made it. It should be 30% of the work done, otherwise your team gets Fx. | ||
| + | * Coders team (Cxx): <b>deadline 17.12.2015 the last exercise</b> | ||
| + | ** Show the short DEMO of your project, how far have you made it. It should be 30% of the work done, otherwise your team gets Fx. | ||
| + | |||
* Coders team (Cxx): <b>deadline 26.1.2016</b> | * Coders team (Cxx): <b>deadline 26.1.2016</b> | ||
** Create a web page where you write your progress, upload source code, executable, images description of your project and short manual. | ** Create a web page where you write your progress, upload source code, executable, images description of your project and short manual. | ||
| Riadok 68: | Riadok 73: | ||
** Choose some authoring tool and create hot physically based demo reel | ** Choose some authoring tool and create hot physically based demo reel | ||
** Present a selected research paper | ** Present a selected research paper | ||
| + | ** Prepare a written report, at least 2 A4 pages, on the topic of state exam question. | ||
* Projects with minimal requirements: [[media:Projects.pdf|Projects.pdf]] | * Projects with minimal requirements: [[media:Projects.pdf|Projects.pdf]] | ||
| Riadok 75: | Riadok 81: | ||
=== Lesson01 "Introduction to Computer Animation" === | === Lesson01 "Introduction to Computer Animation" === | ||
| − | [[File:ca10_lesson01.png | + | [[File:ca10_lesson01.png]] |
* Introduction to Computer Animation | * Introduction to Computer Animation | ||
* Common animation techniques | * Common animation techniques | ||
| Riadok 86: | Riadok 92: | ||
=== Lesson02 "Basic methods in Computer Animation" === | === Lesson02 "Basic methods in Computer Animation" === | ||
| − | [[File:ca10_lesson02.png | + | [[File:ca10_lesson02.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Key-framing and parameter interpolation | * Key-framing and parameter interpolation | ||
| Riadok 99: | Riadok 105: | ||
=== Lesson03 "Particle Systems" === | === Lesson03 "Particle Systems" === | ||
| − | [[File:ca10_lesson03.png | + | [[File:ca10_lesson03.png]] |
* Newton dynamics of particles | * Newton dynamics of particles | ||
* Ordinary differential equation (ODE) solver | * Ordinary differential equation (ODE) solver | ||
| Riadok 110: | Riadok 116: | ||
=== Lesson04 "Soft bodies, Cloths and hair” === | === Lesson04 "Soft bodies, Cloths and hair” === | ||
| − | [[File:ca10_lesson11.png | + | [[File:ca10_lesson11.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Modeling solids with stress and strain | * Modeling solids with stress and strain | ||
| Riadok 123: | Riadok 129: | ||
=== Lesson05 "Broad Phase Collision Detection" === | === Lesson05 "Broad Phase Collision Detection" === | ||
| − | [[File:ca10_lesson04.png | + | [[File:ca10_lesson04.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Hierarchical grids and spatial hashing | * Hierarchical grids and spatial hashing | ||
| Riadok 133: | Riadok 139: | ||
=== Lesson06 "Mid Phase Collision Detection" === | === Lesson06 "Mid Phase Collision Detection" === | ||
| − | [[File:ca10_lesson05.png | + | [[File:ca10_lesson05.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Generic Bounding Volume Hierarchy (BVH) | * Generic Bounding Volume Hierarchy (BVH) | ||
| Riadok 145: | Riadok 151: | ||
=== Lesson07 "Narrow Phase Collision Detection" === | === Lesson07 "Narrow Phase Collision Detection" === | ||
| − | [[File:ca10_lesson06.png | + | [[File:ca10_lesson06.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Proximity queries for convex objects (Minkowski space) | * Proximity queries for convex objects (Minkowski space) | ||
| Riadok 161: | Riadok 167: | ||
=== Lesson09 "Rigid body Dynamics” === | === Lesson09 "Rigid body Dynamics” === | ||
| − | [[File:ca10_lesson08.png | + | [[File:ca10_lesson08.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Dynamics of rigid bodies | * Dynamics of rigid bodies | ||
| Riadok 172: | Riadok 178: | ||
=== Lesson10 "Rigid body Collisions and Joints” === | === Lesson10 "Rigid body Collisions and Joints” === | ||
| − | [[File:ca10_lesson09.png | + | [[File:ca10_lesson09.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Simplified collision model | * Simplified collision model | ||
| Riadok 184: | Riadok 190: | ||
=== Lesson11 "Fluid, Fire and Smoke” === | === Lesson11 "Fluid, Fire and Smoke” === | ||
| − | [[File:ca10_lesson10.png | + | [[File:ca10_lesson10.png]] |
* Problem definition and motivations | * Problem definition and motivations | ||
* Navier-Stokes equations for fluid dynamics | * Navier-Stokes equations for fluid dynamics | ||
| Riadok 198: | Riadok 204: | ||
* Don't panic - just few simple questions | * Don't panic - just few simple questions | ||
| + | === Lesson13 "Animation Show" === | ||
| + | * Show your animation to your colleagues | ||
Verzia zo dňa a času 14:06, 14. september 2015
Physical based Animations and Mathematical Modelling (Course Materials)
Obsah
- 1 Physical based Animations and Mathematical Modelling (Course Materials)
- 1.1 Student Projects
- 1.2 D-E-A-D-L-I-N-E-S
- 1.3 What you Need to Pass
- 1.4 How to Arrange your Project
- 1.4.1 Lesson01 "Introduction to Computer Animation"
- 1.4.2 Lesson02 "Basic methods in Computer Animation"
- 1.4.3 Lesson03 "Particle Systems"
- 1.4.4 Lesson04 "Soft bodies, Cloths and hair”
- 1.4.5 Lesson05 "Broad Phase Collision Detection"
- 1.4.6 Lesson06 "Mid Phase Collision Detection"
- 1.4.7 Lesson07 "Narrow Phase Collision Detection"
- 1.4.8 Lesson08 "All Saints' Day (no lesson)"
- 1.4.9 Lesson09 "Rigid body Dynamics”
- 1.4.10 Lesson10 "Rigid body Collisions and Joints”
- 1.4.11 Lesson11 "Fluid, Fire and Smoke”
- 1.4.12 Lesson12 "Final term"
- 1.4.13 Lesson13 "Animation Show"
This lecture ...
- Will focus on simulating natural phenomena
- Will show you what are current topics
- Will improve your skills in
- Newtonian physics
- Computational geometry
- Algorithms and data structures
- Hopefully will not be boring
Student Projects
- Stránka Ráno do práce
- Stránka The_good_the_bad
- Stránka Kiwi Animácia KiWi
- Stránka Knihy Animácia Knihy
- Stránka Motorka
D-E-A-D-L-I-N-E-S
- Animators team (Axx): deadline 14.12.2015 the last lecture
- Show your animation, how far have you made it. It should be 30% of the work done, otherwise your team gets Fx.
- Coders team (Cxx): deadline 17.12.2015 the last exercise
- Show the short DEMO of your project, how far have you made it. It should be 30% of the work done, otherwise your team gets Fx.
- Coders team (Cxx): deadline 26.1.2016
- Create a web page where you write your progress, upload source code, executable, images description of your project and short manual.
- Send link to finished application (zipped source + executable.)
- If you send it earlier you can get feedback how to improve your application
- Animators team (Axx): deadline 26.1.2016
- Create a web page where you write your progress, upload animation, source of animation, images description of your project and describe all physical effects to be evaluated.
- Upload your animation video on youtube (or some alternative online service)
- Send link to your webpage
- If you send it earlier you can get feedback how to improve your animation
- Oral/written exam (optional): deadline 18.1.2016, 8:00, classroom A
- Instead of (optional) oral exam, you can get (0..+20) points due to a written exam.
- It will be similar to final term, but less complicated.
What you Need to Pass
- Attend lessons. All lessons attended is +0 points. Four and more missed is Fx.
- Show your project (mandatory, 60 points). See later.
- Solve all homework problems (mandatory each one >=30%, 40 points)
- Pass oral/written exam: (optional, +0 .. +20 points) If you feel you are better, convince me ! You can get +20 points max.
- Summary
- Attendance = +0 or -100 (Fx)
- Homework = +40..+12 or 12..0 (Fx)
- Project = +60..0
- Oral/written exam optional = +20..0
- Grades
- A = 92-100
- B = 84-91
- C = 76-83
- D = 68-75
- E = 60-67
- Fx = 0-59
Oral Examination
To the oral examination all the above requirements must be SATISFACTORILY completed.
How to Arrange your Project
- Take 1 friend and Team up
- Role1: The Coder
- Choose a given animation algorithm
- Code up hot demo app and show it
- Present a selected research paper
- Role2: The Artist
- Choose some authoring tool and create hot physically based demo reel
- Present a selected research paper
- Prepare a written report, at least 2 A4 pages, on the topic of state exam question.
- Projects with minimal requirements: Projects.pdf
- Teams fill the form (names and project): deadline 5.10.2015
Lesson01 "Introduction to Computer Animation"
- Introduction to Computer Animation
- Common animation techniques
- Cutting edge tools and packages
- Gurus and the State of the Art
- Lecture schedule
- "Terms and conditions" of this lecture
- Lecture notes: lesson01.pdf
Lesson02 "Basic methods in Computer Animation"
- Problem definition and motivations
- Key-framing and parameter interpolation
- Quternions, orientation
- Skeleton and skinning animation
- Forward and inverse kinematics
- Procedural techniques
- (Motion capture)
- Lecture notes: lesson02.pdf
- Štátnicová téma: Animácie pohybu a orientácie, interpolačný spline na animáciu pohybu, reparametrizácia splinu podľa dĺžky krivky, quaternion a orientácia, interpolácie dvoch a viacerých quaternionov.
Lesson03 "Particle Systems"
- Newton dynamics of particles
- Ordinary differential equation (ODE) solver
- Particle - obstacle collision detection
- Practical design of particle system
- Demos / tools / libs
- Lecture notes: lesson03.pdf
- Štátnicová téma: Numerické riešenie diferenciálnych rovníc, Eulerova metóda, Runge-Kuta metóda, podmienka stability na voľbu časového kroku.
Lesson04 "Soft bodies, Cloths and hair”
- Problem definition and motivations
- Modeling solids with stress and strain
- Extending Mass-spring model for cloth and ropes
- Massive (self) collision and resolution for cloths
- Mesh-less deformations
- Modeling solids with infinitely stiff springs
- Demos / tools / libs
- Lecture notes: lesson04.pdf
- Štátnicová téma (Lesson 3,4): Časticové systémy, rovnice pohybu prvého rádu, integračné metódy na výpočet rýchlosti a pozície, stavový vektor systému, vonkajšie sily, obmedzujúce podmienky – constraints, sily odozvy, kolízie častica - rovina.
Lesson05 "Broad Phase Collision Detection"
- Problem definition and motivations
- Hierarchical grids and spatial hashing
- Sweep and prune and radix sort
- Pair management – a practical guide
- Demos / tools / libs
- Lecture notes: lesson05.pdf
- Assigment 3: assigment3.pdf
Lesson06 "Mid Phase Collision Detection"
- Problem definition and motivations
- Generic Bounding Volume Hierarchy (BVH)
- Tandem BVH traversal
- Proximity evaluation of primitive geometries
- External Voronoi regions
- Sphere x Capsule x Box x triangle collisions
- Approximate convex decomposition
- Lecture notes: lesson06.pdf
- Assigment 4: assigment4.pdf
Lesson07 "Narrow Phase Collision Detection"
- Problem definition and motivations
- Proximity queries for convex objects (Minkowski space)
- GJK based algorithms (GJK, EPA, ISA-GJK)
- Voronoi-Clip (V-Clip) Algorithm
- Signed Distance Maps for collision detection
- Demos / tools / libs
- Lecture notes: lesson07.pdf
- Štátnicová téma (Lesson 5,6,7): Detekcie kolízie, Z buffer algoritmus, nutná a postačujúca podmienka kedy nie sú dve telesá v kolízii, deliaca rovina, hierarchie obálok, sily odozvy (response forces).
Lesson08 "All Saints' Day (no lesson)"
- No lesson
Lesson09 "Rigid body Dynamics”
- Problem definition and motivations
- Dynamics of rigid bodies
- The equation of unconstrained motion (ODE)
- User and time control
- Mass properties of polyhedral objects
- Demos / tools / libs
- Lecture notes: lesson08.pdf
- Štátnicová téma (Lesson 9): Dynamika tuhých telies, rovnice pohybu, rýchlosť, zrýchlenie, uhľová rýchlosť a uhľové zrýchlenie, matica inercie.
Lesson10 "Rigid body Collisions and Joints”
- Problem definition and motivations
- Simplified collision model
- Impulse based collision equation
- Friction-less collision resolution
- Algebraic collision resolution for Coulomb friction
- Linear and angular joint formulations
- Demos / tools / libs
- Lecture notes:lesson09.pdf
Lesson11 "Fluid, Fire and Smoke”
- Problem definition and motivations
- Navier-Stokes equations for fluid dynamics
- Grid based MAC method
- Particle based SPH method
- Neighbor search for coupled particles
- Modeling smoke and fire with fluid
- Demos / tools / libs
- Lecture notes: lesson10.pdf
Lesson12 "Final term"
- Don't panic - just few simple questions
Lesson13 "Animation Show"
- Show your animation to your colleagues
SEMINARS
- On every seminar we will implement selected problems from lessons. We will use software Mathematica to solve specific numerical problems.
RESOURCES
- Roman Ďurikovič, Vladimír Ďurikovič. Numerical Mathematics for Computer Science (in Slovak Numerická matematika pre informatika, Riešené príklady v programe MATHEMATICA). ISBN 978-80-8105-271-2, University of Saint Cyril and Metod Press, Trnava, Slovakia, pages 162, 2011. https://www.researchgate.net/publication/256681458_Numerick_matematika_pre_informatika_Rieen_prklady_v_programe_MATHEMATICA
- Wolfram Mathematica http://mathworld.wolfram.com/
- Matlab tutorial http://www.tutorialspoint.com/matlab/index.htm
- FreeMat http://freemat.sourceforge.net/index.html