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[[File:ca10_lesson01.png|link=#Lectures]] = Physical based Animations and Mathematical Modelling (Course Materials) = __TOC__ 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 [http://ukapra.php5.sk/index.php?id=proj-mmca Ráno do práce] * Stránka [http://www.st.fmph.uniba.sk/~palenikova12/gsvm/mmafp.html The_good_the_bad] * Stránka [http://amigo.sk/www/kiwi/ Kiwi] Animácia [http://www.youtube.com/watch?v=DFqMc8JZPA8 KiWi] * Stránka [http://www.st.fmph.uniba.sk/~vidlickova6/stranka/progres.html Knihy] Animácia [http://www.youtube.com/watch?v=pXXa0C74IJk&feature=youtu.be Knihy] * Stránka [http://www.st.fmph.uniba.sk/~franta2/ca.html Motorka] == 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> ** 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.) **Your code should be well formatted and commented. Titles of functions, classes, variables should be representative for their purpose. ** If you send it earlier you can get feedback how to improve your application * Animators team (Axx): <b>deadline 26.1.2016</b> ** 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): <b>deadline 18.1.2016, 8:00, classroom A</b> ** 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 * '''[https://docs.google.com/spreadsheets/d/1qLjrRDJcDR3TAiJYGO6ns1_eE1Rd1395TKixDtwKXPM/edit?usp=sharing VIEW RESULTS]''' === 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: [[media:Projects.pdf|Projects.pdf]] * Teams fill the '''[https://docs.google.com/forms/d/1rgo9uNlc1AhvSCjpi9OXtB6C3dewOByfVzwQ1pZKrNY/viewform?usp=send_form form]''' (names and project): <b>deadline 5.10.2015</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 rovina, 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. === Excercise01 "Key Framing” === * '''[https://www.youtube.com/watch?v=CFFhgutjZQk Blender demo]''' * Blender https://www.blender.org/ === Excercise02 "Quaternion Interpolation” === * Assigment **[[media:uloha1.pdf|uloha1.pdf]] (deadline 8.10.) **resources: ***[[media:catmull-rom.pdf|catmull-rom.pdf]] ***http://run.usc.edu/cs520-s15/quaternions/quaternions-cs520.pdf ***http://www.academia.edu/4095904/Quaternion_calculus_as_a_basic_tool_in_computer_graphics * Blender tutorial for skeleton modelling ** rigging https://www.youtube.com/watch?v=mJwWTKt12ak === Excercise03 "Differential Equations” === * Analitical solution of ODE * Runge-Kuta method * Assigment **[[media:uloha2.pdf|uloha2.pdf]] (deadline 22.10.) **resources: ***[[media:diferencialne_rovnice.pdf|diferencialne_rovnice.pdf]] ***http://terpconnect.umd.edu/~petersd/246/matlabode.html * Wolfram Mathematica http://mathworld.wolfram.com/ * FreeMat http://freemat.sourceforge.net/index.html * Matlab tutorial http://www.tutorialspoint.com/matlab/index.htm === Excercise04 "Position based Dynamics” === * proving the distance constraint formulae **resources ***[[media:Position based Dynamics.pdf|Position based Dynamics.pdf]] * Assigment **prepare presentation (deadline 29.10.) === 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|uloha3.pdf]] (deadline 26.11.) **resources: ***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 ===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

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