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[[File:ca10_lesson01.png|link=#Lectures]]
 
[[File:ca10_lesson01.png|link=#Lectures]]
 +
= Physical based Animations and Mathematical Modelling (Course Materials) =
 +
__TOC__
  
 
This lecture ...
 
This lecture ...
Line 9: Line 11:
 
** Algorithms and data structures
 
** Algorithms and data structures
 
* Hopefully will not be boring
 
* Hopefully will not be boring
 +
* [https://www.tapirgames.com/blog/open-source-physics-engines List of Open Source Physics Engines]
  
−
== Student Projects ==
+
== Student Animation Projects ==
−
* Stránka [http://ukapra.php5.sk/index.php?id=proj-mmca Ráno do práce]
+
* Animácia [https://www.youtube.com/watch?v=j1wR1LN_fU4 Hunger]
−
* Stránka [http://www.st.fmph.uniba.sk/~palenikova12/gsvm/mmafp.html The_good_the_bad]
+
* Stránka [http://davinci.fmph.uniba.sk/~dobsovicova10/spider/ Catching Spider] Animácia [http://davinci.fmph.uniba.sk/~dobsovicova10/spider/videos/final.mp4 Catching Spider]
−
* Stránka [http://amigo.sk/www/kiwi/ Kiwi] Animácia [http://www.youtube.com/watch?v=DFqMc8JZPA8 KiWi]
+
* Stránka [http://ukapra.php5.sk/index.php?id=proj-mmca Ráno do práce] Animácia [https://youtu.be/YBBsxdUXDPI Ráno do práce]
−
* Stránka [http://www.st.fmph.uniba.sk/~vidlickova6/stranka/progres.html Knihy] Animácia [http://www.youtube.com/watch?v=pXXa0C74IJk&feature=youtu.be Knihy]
+
* Animácia [http://www.youtube.com/watch?v=pXXa0C74IJk&feature=youtu.be Knihy]
−
* Stránka [http://www.st.fmph.uniba.sk/~franta2/ca.html Motorka]
+
* Stránka [http://animation.6f.sk/ Tvrdý Oriešok pre Vranu] Animácia [https://www.youtube.com/watch?v=1AMtjwhLEEg Vrana]
−
 
+
−
== D-E-A-D-L-I-N-E-S ==
+
−
* Written exam (optional): <b>deadline 19.1.2014, 8:00, classroom A</b>
+
−
** Instead of (optional) oral exam, you can get (-20 ... +20) points due to a written exam.
+
−
** It will be similar to final term, but less complicated.
+
−
* Scientists (Pxx): <b>deadline 23.1.2010</b>, session: <b>24.1.2010 - 28.1.2010</b>
+
−
** Choose presentation date [https://spreadsheets.google.com/viewform?formkey=dHFVa3dHNm1BYlZ0bUFuV0FPVWlFTXc6MQ HERE]
+
−
** Send to onderik@sccg.sk finished presentation (zipped pdf)
+
−
** Attend presentation session and present your topic
+
−
** If you send it earlier you can get feedback how to improve your presentation
+
−
* Coders (Cxx): <b>deadline 30.1.2011</b>
+
−
** Send to onderik@sccg.sk finished application and some note if source code should be private (zipped source + executable.)
+
−
** Executables will be public on this page. Sources only if author allow it.
+
−
** If you send it earlier you can get feedback how to improve your application
+
−
* Animators (Axx): <b>deadline 30.1.2011</b>
+
−
** Upload your animation video on youtube (or some alternative online service)
+
−
** Send to onderik@sccg.sk link to your animation (link to youtube)
+
−
** If you send it earlier you can get feedback how to improve your animation
+
  
 
== What you Need to Pass ==
 
== What you Need to Pass ==
  
−
* Attend lessons. All lessons attended is +10 points. One missed +0 points. 2 missed 0 points, 3 missed 0 points, 4 and more is Fx.
+
* Attend lessons. All lessons attended is +0 points. Four and more lectures missed you missed the course Fx.
−
* Show your project (mandatory, 60 points) See later.
+
* Solve all homework problems (mandatory each one >=30%, 60 points)
−
* Solve all homework problems (mandatory each one >=30%, 30 points)
+
* Pass written Final term exam (mandatory each one >=30%, 30 points), no retakes. Realtime problem solution in Wolfram Mathematica or Wolfram Alpha.
−
* Pass final term (mandatory, 10 points) You will need to solve several problems discussed during lessons.
+
* Pass oral/written exam: (optional, +0 .. +20 points) If you feel you are better, convince me ! You can get +20 points max.
−
* Pass oral/written exam: (optional, +/-20 points) If you feel you are better, convince me ! You can get +20 points or loose -20 points.
+
 
* Summary
 
* Summary
−
** Attendance = +10..0 or -100 (Fx)
+
** Attendance = +0 or -100 (or Fx)
−
** Homework = +30..10 or +10..0 (Fx)
+
** Homework = +60..+18 or 12..0 (or Fx)
−
** Project = +60..0  
+
** Excercises = +10..0  
−
** Final term = +10..0
+
** Final term = (better than Fx) +30..0  
−
** Oral/written exam = +20..-20
+
** Optional oral exam = +20..0
  
 
* Grades
 
* Grades
−
** A = 92-130
+
** A = 92-100
 
** B = 84-91
 
** B = 84-91
 
** C = 76-83
 
** C = 76-83
 
** D = 68-75
 
** D = 68-75
 
** E = 60-67
 
** E = 60-67
−
** Fx = 0-49
+
** Fx = 0-59
 +
 
 +
* '''[https://docs.google.com/spreadsheets/d/1JS_ICQv73QpPuyiZ_l7D0E-eKWJG4ToYl_H4xDE_GTw/edit?usp=sharing RESULTS]'''
 +
* In case of online lecture connect to MS Teams [https://teams.microsoft.com/l/team/19%3a09e9527680ca40ef8a336492c5749111%40thread.tacv2/conversations?groupId=54138d27-ced4-46a6-99cc-cb7510664011&tenantId=ce31478d-6e7a-4ce7-8670-a5b9d51884f9 Teams] Teams code: 1himkdt
 +
 
 +
=== Oral / Written Examination ===
 +
To the oral examination, all the above requirements must be SATISFACTORILY completed. '''[https://moodle.uniba.sk/course/view.php?id=2165 Moodle ]'''
 +
 
 +
<!--== Project Deadlines ==
 +
* Animators team (Axx): <b>deadline 16.12.2019 the last lecture</b>
 +
** Show your animation, how far have you made it. Paste the screen capture with your explanation and demo on the webpage. It should be 30% of the work done, otherwise, your team gets Fx.
 +
* Coders team (Cxx): <b>deadline 16.12.2019 the last lecture</b>
 +
** Show the short DEMO of your project, how far have you made it. Paste the screen capture with your explanation and demo on the webpage. It should be 30% of the work done, otherwise, your team gets Fx.
 +
-->
 +
<!--== How to Arrange your Project ==
 +
 
 +
* Take 1 friend and Team up
 +
* Role1: The Coder Team
 +
** Choose a given animation algorithm
 +
** Code up hot demo app and show it
 +
** Present a selected research paper or tutorial
 +
** Prepare a written report, at least 2 A4 pages, on the topic of state exam question.
 +
* Role2: The Artist Team
 +
** Choose some authoring tool
 +
** Create hot physically based demo reel
 +
** Present a selected research paper or tutorial
 +
** Prepare a written report, at least 2 A4 pages, on the topic of state exam question.
 +
* Projects with minimal requirements: [[media:project-list.pdf|project-list.pdf]]
 +
* Teams fill the '''[https://docs.google.com/forms/d/1TWG8CtpKxCbjv88El76J3HzWgVuTal_4r6SH0ez4mCk/edit form]''' (names and project): <b>deadline 1.10.</b> Submit a link to created web page with project description or animation story board where you write your progress, continually.
 +
-->
 +
----
 +
 
 +
 
 +
=== Lesson01 "Introduction to Computer Animation" ===
 +
[[File:ca10_lesson01.png]]
 +
* 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: [[media:ca15_lesson01.pdf|lesson01.pdf]]
 +
 
 +
 
 +
=== Lesson02 "Basic methods in Computer Animation" ===
 +
[[File:ca10_lesson02.png]]
 +
* 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: [[media:ca15_lesson02.pdf|lesson02.pdf]]
 +
* Štátnicová téma: S1 Animácie pohybu a orientácie, interpolačný spline na animáciu pohybu, splinu podľa dĺžky krivky, quaternion a orientácia, interpolácie dvoch a viacerých quaternionov.
 +
 
 +
 
 +
=== Lesson03 "Particle Systems" ===
 +
[[File:ca10_lesson03.png]]
 +
* Newton dynamics of particles
 +
* Ordinary differential equation (ODE) solver
 +
* Particle - obstacle collision detection
 +
* Practical design of particle system
 +
* Demos / tools / libs
 +
* Lecture notes: [[media:ca15_lesson03.pdf|lesson03.pdf]]
 +
* Štátnicová téma: S2 Numerické riešenie diferenciálnych rovníc, Eulerova metóda, MidPoint metóda, Runge-Kuta metóda, podmienka stability na voľbu časového kroku, sily odozvy (response forces).
 +
 
 +
 
 +
=== Lesson04 "Soft bodies, Cloths and hair” ===
 +
[[File:ca10_lesson11.png]]
 +
* 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: [[media:ca15_lesson04.pdf|lesson04.pdf]]
 +
* Štátnicová téma (Lesson 3,4): S3 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" ===
 +
[[File:ca10_lesson04.png]]
 +
* 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: [[media:ca15_lesson05.pdf|lesson05.pdf]]
 +
<!--* Assigment 3: [[media:ca10_assigmentlesson05.pdf|assigment3.pdf]]-->
 +
 
 +
 
 +
=== Lesson "All Saints' Day (no lesson)" ===
 +
[[File:ca10_lesson07.png]]
 +
* No lesson
 +
 
 +
 
 +
=== Lesson06 "Mid Phase Collision Detection" ===
 +
[[File:ca10_lesson05.png]]
 +
* 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: [[media:ca15_lesson06.pdf|lesson06.pdf]]
 +
<!--* Assigment 4: [[media:ca10_assigmentlesson06.pdf|assigment4.pdf]]-->
 +
 
 +
 
 +
=== Lesson07 "Narrow Phase Collision Detection" ===
 +
[[File:ca10_lesson06.png]]
 +
* 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: [[media:ca15_lesson07.pdf|lesson07.pdf]]
 +
* Štátnicová téma (Lesson 5,6,7): S4 Detekcie kolízie, nutná a postačujúca podmienka kedy nie sú dve telesá v kolízii, broad phase (hierachycká mriežka), mid phase (hierarchie obálok, Voronoiove oblasti v kolízii, vysvetlujte na príklade kolízie gula x kapsula, dekompozícia telesa na konvexné časti), narrow phase (Minkowskeho priestor a blízkosť konvexných telies).
 +
 
 +
 
 +
=== Lesson08 "Rigid body Dynamics” ===
 +
[[File:ca10_lesson08.png]]
 +
* 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: [[media:ca15_lesson08.pdf|lesson08.pdf]]
 +
* Štátnicová téma (Lesson 9): S5 Dynamika tuhých telies, definícia problému, rovnice pohybu (4 ODE), rýchlosť, zrýchlenie, uhľová rýchlosť a uhľové zrýchlenie, matica hybnosti (matica inercie).
 +
 
 +
 
 +
=== Lesson09 "Rigid body Collisions and Joints” ===
 +
[[File:ca10_lesson09.png]]
 +
* 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:[[media:ca15_lesson09.pdf|lesson09.pdf]]
 +
 
 +
 
 +
=== Lesson10 "Fluid, Fire and Smoke” ===
 +
[[File:ca10_lesson10.png]]
 +
* 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: [[media:ca16_lesson10.pdf|lesson10.pdf]]
 +
 
 +
 
 +
=== Lesson11 "Final term" ===
 +
[[File:ca10_lesson12.png]]
 +
* Don't panic - just few simple questions
 +
 
 +
 
 +
=== Lesson12 "Animation Show" ===
 +
* Show your animation to your colleagues
 +
 
 +
=EXCERCISES=
 +
*Your presence at the seminar is optional.
 +
*On every seminar we will focus on the selected problems from lessons. We will use the numerical methods to solve specific problems.
 +
 
 +
<!--
 +
=== Excercise00 "Key Framing” ===
 +
* '''[https://www.youtube.com/watch?v=CFFhgutjZQk Blender demo]'''
 +
* Blender https://www.blender.org/
 +
 
 +
**resources:
 +
** Blender tutorial for skeleton modelling http://blender.freemovies.co.uk/stickman/
 +
** rigging https://www.youtube.com/watch?v=mJwWTKt12ak
 +
** motion capture database https://sites.google.com/a/cgspeed.com/cgspeed/motion-capture/daz-friendly-release
 +
-->
 +
 
 +
=== Excercise01 "Introductions” ===
 +
* Vectors
 +
** https://reference.wolfram.com/language/tutorial/Lists.html#2534
 +
* Matrices
 +
* Linear interpolation
 +
<!--*WOLFRAM DEVELOPMENT PLATFORM [https://develop.open.wolframcloud.com/app/]-->
 +
*WOLFRAM NOTEBOOK [https://www.wolfram.com/notebooks/]
 +
* https://www.wolfram.com/language/fast-introduction-for-programmers/en/interactive-usage/
 +
 
 +
*resources:
 +
***[[media:uvod.pdf|uvod.pdf]]
 +
***[[media:catmull-rom.pdf|catmull-rom.pdf]]
 +
 
 +
=== Excercise02 "Quaternion Interpolation” ===
 +
 
 +
* Assigment
 +
**[[media:uloha1B.pdf|uloha1.pdf]] (deadline see Attendance table)
 +
 
 +
* Euler angles
 +
* Complex numbers and rotations
 +
**resources:
 +
***[[media:quaternions.pdf|quaternion1.pdf]]
 +
***[[media:kvaternion.pdf|kvaternion2.pdf]]
 +
***http://run.usc.edu/cs520-s15/quaternions/quaternions-cs520.pdf
 +
***[[media:priklad.pdf|example.pdf]]
 +
***http://www.academia.edu/4095904/Quaternion_calculus_as_a_basic_tool_in_computer_graphics
 +
***https://www.youtube.com/watch?v=d4EgbgTm0Bg
 +
***https://reference.wolfram.com/language/Quaternions/tutorial/Quaternions.html
 +
 
 +
=== Excercise03 "Differential Equations” ===
 +
* Analitical solution of ODE
 +
* Runge-Kuta method
 +
* Assigment
 +
**[[media:uloha2Chaotic.pdf|uloha_diferencialne.pdf]] (deadline see Attendance table)
 +
**resources:
 +
***https://www.youtube.com/watch?v=p_di4Zn4wz4
 +
***https://emboliform.wordpress.com/test-page/solving-differential-equations-numerically-with-octave/
 +
***[[Media:Diferencialne rovnice.pdf|diferencialne_rovnice.pdf]]
 +
***[[Media:explicit_midpoint.pdf|explicit_midpoint.pdf]]
 +
***[[Media:system_ode.pdf|system_ode.pdf]]
 +
***http://terpconnect.umd.edu/~petersd/246/matlabode.html
 +
***https://computing.llnl.gov/casc/nsde/pubs/u113855.pdf
 +
* Wolfram Mathematica https://reference.wolfram.com/language/ref/NDSolve.html
 +
* FreeMat http://freemat.sourceforge.net/index.html
 +
* Matlab tutorial http://www.tutorialspoint.com/matlab/index.htm
 +
* Online Octave https://octave-online.net/
 +
 
 +
=== Excercise04 "Position based Dynamics” ===
 +
* proving the distance constraint formulae
 +
**resources
 +
***[[media:Position based Dynamics.pdf|Position based Dynamics.pdf]]
 +
***https://www.cs.toronto.edu/~jacobson/seminar/mueller-et-al-2007.pdf
 +
<!--
 +
* Assigment
 +
**prepare presentation (deadline see Attendance table)
 +
-->
 +
 
 +
=== Excercise05 "Particles” ===
 +
*modeling particles
 +
**resources
 +
***https://www.youtube.com/watch?v=azXFwQWXjyQ
 +
 
 +
=== Excercise06 "STAR reports” ===
 +
<!--
 +
*STAR reports and paper presentations
 +
-->
 +
**animation resources
 +
***[[media:production.pdf|production.pdf]]
 +
***https://www.youtube.com/playlist?list=PL-bOh8btec4CXd2ya1NmSKpi92U_l6ZJd
 +
 
 +
=== Excercise07 "Separating Axis Theorem” ===
 +
*Principal Components Analysis
 +
* Assigment
 +
**[[media:uloha3.pdf|uloha_SAT.pdf]] (deadline see Attendance table)
 +
**resources:
 +
***[[media:principal_components.pdf|principal_components.pdf]]
 +
***[[media:sat.pdf|sat.pdf]]
 +
***http://www.cs.otago.ac.nz/cosc453/student_tutorials/principal_components.pdf
 +
***http://www.sosmath.com/matrix/eigen2/eigen2.html
 +
***https://www.scss.tcd.ie/Rozenn.Dahyot/CS1BA1/SolutionEigen.pdf
 +
 
 +
=== Excercise08 "Rigid body Dynamics” ===
 +
*Rigid body Dynamics
 +
* Assigment
 +
**[[media:domaca-uloha-4.pdf|domaca-uloha.pdf]] (deadline see Attendance table)
  
−
* '''[https://docs.google.com/spreadsheet/ccc?key=0AguOJecPQwoSdFhRaXF2Y012SGc4OWZzZDRrWFRzM0E&usp=drive_web#gid=0 VIEW RESULTS]'''
+
===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

Revision as of 15:20, 3 November 2021

Ca10 lesson01.png

Physical based Animations and Mathematical Modelling (Course Materials)

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
  • List of Open Source Physics Engines

Student Animation Projects

What you Need to Pass

  • Attend lessons. All lessons attended is +0 points. Four and more lectures missed you missed the course Fx.
  • Solve all homework problems (mandatory each one >=30%, 60 points)
  • Pass written Final term exam (mandatory each one >=30%, 30 points), no retakes. Realtime problem solution in Wolfram Mathematica or Wolfram Alpha.
  • 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 (or Fx)
    • Homework = +60..+18 or 12..0 (or Fx)
    • Excercises = +10..0
    • Final term = (better than Fx) +30..0
    • Optional oral exam = +20..0
  • Grades
    • A = 92-100
    • B = 84-91
    • C = 76-83
    • D = 68-75
    • E = 60-67
    • Fx = 0-59
  • RESULTS
  • In case of online lecture connect to MS Teams Teams Teams code: 1himkdt

Oral / Written Examination

To the oral examination, all the above requirements must be SATISFACTORILY completed. Moodle


Lesson01 "Introduction to Computer Animation"

Ca10 lesson01.png

  • 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"

Ca10 lesson02.png

  • 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: S1 Animácie pohybu a orientácie, interpolačný spline na animáciu pohybu, splinu podľa dĺžky krivky, quaternion a orientácia, interpolácie dvoch a viacerých quaternionov.


Lesson03 "Particle Systems"

Ca10 lesson03.png

  • 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: S2 Numerické riešenie diferenciálnych rovníc, Eulerova metóda, MidPoint metóda, Runge-Kuta metóda, podmienka stability na voľbu časového kroku, sily odozvy (response forces).


Lesson04 "Soft bodies, Cloths and hair”

Ca10 lesson11.png

  • 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): S3 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"

Ca10 lesson04.png

  • 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


Lesson "All Saints' Day (no lesson)"

Ca10 lesson07.png

  • No lesson


Lesson06 "Mid Phase Collision Detection"

Ca10 lesson05.png

  • 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


Lesson07 "Narrow Phase Collision Detection"

Ca10 lesson06.png

  • 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): S4 Detekcie kolízie, nutná a postačujúca podmienka kedy nie sú dve telesá v kolízii, broad phase (hierachycká mriežka), mid phase (hierarchie obálok, Voronoiove oblasti v kolízii, vysvetlujte na príklade kolízie gula x kapsula, dekompozícia telesa na konvexné časti), narrow phase (Minkowskeho priestor a blízkosť konvexných telies).


Lesson08 "Rigid body Dynamics”

Ca10 lesson08.png

  • 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): S5 Dynamika tuhých telies, definícia problému, rovnice pohybu (4 ODE), rýchlosť, zrýchlenie, uhľová rýchlosť a uhľové zrýchlenie, matica hybnosti (matica inercie).


Lesson09 "Rigid body Collisions and Joints”

Ca10 lesson09.png

  • 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


Lesson10 "Fluid, Fire and Smoke”

Ca10 lesson10.png

  • 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


Lesson11 "Final term"

Ca10 lesson12.png

  • Don't panic - just few simple questions


Lesson12 "Animation Show"

  • Show your animation to your colleagues

EXCERCISES

  • Your presence at the seminar is optional.
  • On every seminar we will focus on the selected problems from lessons. We will use the numerical methods to solve specific problems.


Excercise01 "Introductions”

Excercise02 "Quaternion Interpolation”

  • Assigment

Excercise03 "Differential Equations”

Excercise04 "Position based Dynamics”

Excercise05 "Particles”

Excercise06 "STAR reports”

Excercise07 "Separating Axis Theorem”

Excercise08 "Rigid body Dynamics”

RESOURCES

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