Introduction to. Computer Animation
|
|
- Randolph Houston
- 5 years ago
- Views:
Transcription
1 Inroducon o 1
2 Movaon Anmaon from anma (la.) = soul, spr, breah of lfe Brng mages o lfe! Examples Characer anmaon (humans, anmals) Secondary moon (har, cloh) Physcal world (rgd bodes, waer, fre) 2 2
3 Anmaon Technques For characer anmaon Keyframng Moon capurng / moon synhess For secondary moon, physcal effecs Procedural Smulaon (physcally based anmaon) 3 3
4 Arsdefnes key frames Compuer nerpolaes Keyframng 4 4
5 Moon Capurng Varous echnques (magnec, mechancal, opcal): Oupu: Trajecores of a se of markers 5 5
6 Moon Synhess Combne recorded moons Couresy Okan Arkan Problems Naural ransons Ineracon wh envronmen (foo sldng, collsons) 6 6
7 Anmaon Technques For characer anmaon Keyframng Moon capurng / moon synhess For secondary moon, physcal effecs Procedural Smulaon (physcally based anmaon) 7 7
8 Procedural Anmaon Procedure anmaes scene explcly Ocean surface as superposon of sne waves Hnsnger e. al. Plan growh anmaed wh L-Sysems (Grammar) 8 8
9 Procedural vs. Smulaon Procedural anmaon Explc descrpon of effec Smple o conrol Hard o model complex effecs / neracons Smulaon Inegraon of physcal equaons (e.g. Newon) Harder o conrol Unlmed complexy (bound only by compung me) 9 9
10 Physcal Smulaons Equaons known for a long me Moon (Newon, 1660) Elascy (Hooke, 1670) Fluds (Naver, Sokes, 1822) Smulaon made possble by compuers 1938: Zuse 1, 0.2 flops, 2004: NEC's Earh Smulaor 36 eraflops d / d ( m v ) = σ = Eε ρ + v v = k ρ + ρ g + µ f v 2 v 10 10
11 Am of Physcal Smulaons Compuaonal Scences Perfec replcaon of he real world Smulaons replace expensve expermens Accuracy more mporan han speed Plausble behavor (user / vewer mus be convnced) Conrollably Speed and sably (for real-me use) 11 11
12 Real-Tme Physcally Based Anmaon Trade accuracy for speed Chea as much as you can whou geng caugh Uncondonal sably Applcaons: Flgh/car Smulaors Surgery raners 3D Games 12 12
13 Examples Brle Deformable Lqud 13 13
14 Technques Parcle sysems Fre, smoke, waer Mass-sprng sysems Deformable objecs Rgd body smulaon Cars, arplanes, furnure, Grd based mehods Waer, smoke, arflow Ohers, e.g. Fne Elemens, 14 14
15 Parcle Sysems Snow, dus, sand Fre Smoke Waer 15 15
16 Collecon of many small smple parcles Parcle moon nfluenced by forces Generaed by emers Deleed when lfeme reached or ou of scene v Parcle Sysems m f generaor 16 16
17 17 17 Parcle Sysem Anmaon Newon s second law of moon ) ( 1 ) ( ) ( ) ( m d d d d f v v x = = Smple updae rule (negraon mehod) m v x x f v v + + 1
18 Force Compuaon Mulple nfluences: f gravy 0 = 0 g m dampng f = dv Addon of nfluences: gravy dampng exernal nerac = f + f + f f f + exernal f ( x f = nerac, ) f = f ( x, x j ) j 18 18
19 Parcle sysems Fre, smoke, waer Mass-sprng sysems Deformable objecs Rgd body smulaon Cars, arplanes, furnure, Grd based mehods Waer, smoke, arflow Technques 19 19
20 Mass-Sprng Sysems Parcle sysem plus sprngs Specal neracon force f nerac 0 { 1,2, } ( x x ) = k L 3 0 x x x x 0 0 x 3 L 3,k 3 x 0 L 2,k 2 x 2 x 1 L 1,k 1 sffness res lengh 20 20
21 Facal anmaon Thalmann Applcaons Cloh smulaon Surgery smulaon Srasser Kuehnapfel 21 21
22 Issues Where o pu sprngs Choce of sffnesses Collson deecon Collson response Sably (me sep or sffness oo hgh) v x v x 1 res confguraon + f m + v overcorrecon 22 22
23 Parcle sysems Fre, smoke, waer Mass-sprng sysems Deformable objecs Rgd body smulaon Cars, arplanes, furnure, Grd based mehods Waer, smoke, arflow Technques 23 23
24 Rgd Body Smulaon Deformable objecs have many degrees of freedom Each verex s smulaed separaely A rgd body only has 6 degrees of freedom Faser smulaon possble orenaon poson 24 24
25 Saes of a Rgd Body Sac saes Poson x Orenaon R Dynamc saes Lnear velocy v Angular velocy ω ω v R x 25 25
26 26 26 Smulaon of Rgd Bodes Newon s law of moon = ) ( ) ( ) ( ) ( ~ ) ( ) ( ) ( ) ( ) ( ) ( M d d τ F R ω v ω I v R x Use negraon mehod o updae saes
27 Collson deecon Collson response for complex confguraons Consrans (jons) Issues 27 27
28 Roboc smulaons 3D compuer games Half Lfe Applcaons 28 28
29 Parcle sysems Fre, smoke, waer Mass-sprng sysems Deformable objecs Rgd body smulaon Cars, arplanes, furnure, Grd based mehods Waer, smoke, arflow Technques 29 29
30 Grd Based Mehods Basc dea: Solve paral dfferenal equaon on (regular) grd Replace dfferenals by fne dfferences 30 30
31 Example: Waer Surface Waer surface defned as hegh u(x,y,) a locaon x,y a me Dynamcs gven by 2D wave equaon: u = c ( u x y u ) u(x,y,) (x,y) 31 31
32 Dscrezaon Replace connuous u(x,y,) by dscree array u [,j] (grd spacng h) Replace dervaves by fne dfferences, e.g. u/ x = (u [+1,j]-u [,j])/h Smple updae scheme (wh cool resuls!) v u [ + 1, j ] + [ 1, j ] + [, j + 1] + [, j 1] 4 [, j ] [, j ] = v [, j ] + c 2 [, j ] = u [, j ] + v u [, j ] u u h u u 32 32
33 Boundary Condons Assumng (1,..,n) Perodc: u [0,j] = u [n,j], u [n+1,j] = u [1,j] Mrror: u [0,j] = u [1,j], u [n+1,j] = u [n,j] Analog for j 33 33
34 Adversemen Sommersemeser : Physkalsch-basere Smulaon n der Compuer Graphk 2V 1U Übung = 1 Semeserprojek n Gruppen 34 hp://graphcs.ehz.ch/~mamuel/eachng/projecs2004/ 34
35 Prüfungshemen 0. Inroducon wrd nch geprüf 1. Graphcs APIs 2. Colors 3. Transformaons 4. Projecons 5. Lghng & Shadng 6. Rayracng 7. Texure Mappng 8. An Alasng 9. Clppng Algorhms 10. Scan Converson 11. Graphcs Hardware kene Produkdeals, kene Shaderbefehle 12. Real-me Renderng Ppelne opmzaon wrd nch geprüf 13. Terran Renderng wrd nch geprüf 14. wrd nch geprüf 35 35
For secondary motion, physical effects Simulation (physically based animation) For character animation. Motion capturing / motion synthesis
3 4 Introducton to Anmaton Technques For character anmaton Keyramng Moton capturng / moton synthess For secondary moton physcal eects Procedural Smulaton (physcally based anmaton) Motvaton Anmaton rom
More informationImplementation of Quantized State Systems in MATLAB/Simulink
SNE T ECHNICAL N OTE Implemenaon of Quanzed Sae Sysems n MATLAB/Smulnk Parck Grabher, Mahas Rößler 2*, Bernhard Henzl 3 Ins. of Analyss and Scenfc Compung, Venna Unversy of Technology, Wedner Haupsraße
More informationVEHICLE DYNAMIC MODELING & SIMULATION: COMPARING A FINITE- ELEMENT SOLUTION TO A MULTI-BODY DYNAMIC SOLUTION
21 NDIA GROUND VEHICLE SYSTEMS ENGINEERING AND TECHNOLOGY SYMPOSIUM MODELING & SIMULATION, TESTING AND VALIDATION (MSTV) MINI-SYMPOSIUM AUGUST 17-19 DEARBORN, MICHIGAN VEHICLE DYNAMIC MODELING & SIMULATION:
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 0 Canoncal Transformaons (Chaper 9) Wha We Dd Las Tme Hamlon s Prncple n he Hamlonan formalsm Dervaon was smple δi δ Addonal end-pon consrans pq H( q, p, ) d 0 δ q ( ) δq ( ) δ
More information[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5
TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres
More informationPhysical Simulation Using FEM, Modal Analysis and the Dynamic Equilibrium Equation
Physcal Smulaon Usng FEM, Modal Analyss and he Dynamc Equlbrum Equaon Paríca C. T. Gonçalves, Raquel R. Pnho, João Manuel R. S. Tavares Opcs and Expermenal Mechancs Laboraory - LOME, Mechancal Engneerng
More informationStochastic Maxwell Equations in Photonic Crystal Modeling and Simulations
Sochasc Maxwell Equaons n Phoonc Crsal Modelng and Smulaons Hao-Mn Zhou School of Mah Georga Insue of Technolog Jon work wh: Al Adb ECE Majd Bade ECE Shu-Nee Chow Mah IPAM UCLA Aprl 14-18 2008 Parall suppored
More informationLecture 9: Dynamic Properties
Shor Course on Molecular Dynamcs Smulaon Lecure 9: Dynamc Properes Professor A. Marn Purdue Unversy Hgh Level Course Oulne 1. MD Bascs. Poenal Energy Funcons 3. Inegraon Algorhms 4. Temperaure Conrol 5.
More informationA NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION
S19 A NEW TECHNIQUE FOR SOLVING THE 1-D BURGERS EQUATION by Xaojun YANG a,b, Yugu YANG a*, Carlo CATTANI c, and Mngzheng ZHU b a Sae Key Laboraory for Geomechancs and Deep Underground Engneerng, Chna Unversy
More informationHandout # 13 (MEEN 617) Numerical Integration to Find Time Response of MDOF mechanical system. The EOMS for a linear mechanical system are
Handou # 3 (MEEN 67) Numercal Inegraon o Fnd Tme Response of MDOF mechancal sysem The EOMS for a lnear mechancal sysem are MU+DU+KU =F () () () where U,U, and U are he vecors of generalzed dsplacemen,
More informationChapter 6: AC Circuits
Chaper 6: AC Crcus Chaper 6: Oulne Phasors and he AC Seady Sae AC Crcus A sable, lnear crcu operang n he seady sae wh snusodal excaon (.e., snusodal seady sae. Complee response forced response naural response.
More informationHandout # 6 (MEEN 617) Numerical Integration to Find Time Response of SDOF mechanical system Y X (2) and write EOM (1) as two first-order Eqs.
Handou # 6 (MEEN 67) Numercal Inegraon o Fnd Tme Response of SDOF mechancal sysem Sae Space Mehod The EOM for a lnear sysem s M X DX K X F() () X X X X V wh nal condons, a 0 0 ; 0 Defne he followng varables,
More informationP R = P 0. The system is shown on the next figure:
TPG460 Reservor Smulaon 08 page of INTRODUCTION TO RESERVOIR SIMULATION Analycal and numercal soluons of smple one-dmensonal, one-phase flow equaons As an nroducon o reservor smulaon, we wll revew he smples
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm H ( q, p, ) = q p L( q, q, ) H p = q H q = p H = L Equvalen o Lagrangan formalsm Smpler, bu
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm Hqp (,,) = qp Lqq (,,) H p = q H q = p H L = Equvalen o Lagrangan formalsm Smpler, bu wce as
More informationJ i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.
umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal
More informationGear System Time-varying Reliability Analysis Based on Elastomer Dynamics
A publcaon of CHEMICAL ENGINEERING TRANSACTIONS VOL. 33, 013 Gues Edors: Enrco Zo, Pero Barald Copyrgh 013, AIDIC Servz S.r.l., ISBN 978-88-95608-4-; ISSN 1974-9791 The Ialan Assocaon of Chemcal Engneerng
More informationChapter 2 Linear dynamic analysis of a structural system
Chaper Lnear dynamc analyss of a srucural sysem. Dynamc equlbrum he dynamc equlbrum analyss of a srucure s he mos general case ha can be suded as akes no accoun all he forces acng on. When he exernal loads
More informationDynamic Team Decision Theory. EECS 558 Project Shrutivandana Sharma and David Shuman December 10, 2005
Dynamc Team Decson Theory EECS 558 Proec Shruvandana Sharma and Davd Shuman December 0, 005 Oulne Inroducon o Team Decson Theory Decomposon of he Dynamc Team Decson Problem Equvalence of Sac and Dynamc
More informationTHE PREDICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS
THE PREICTION OF COMPETITIVE ENVIRONMENT IN BUSINESS INTROUCTION The wo dmensonal paral dfferenal equaons of second order can be used for he smulaon of compeve envronmen n busness The arcle presens he
More informationM. Y. Adamu Mathematical Sciences Programme, AbubakarTafawaBalewa University, Bauchi, Nigeria
IOSR Journal of Mahemacs (IOSR-JM e-issn: 78-578, p-issn: 9-765X. Volume 0, Issue 4 Ver. IV (Jul-Aug. 04, PP 40-44 Mulple SolonSoluons for a (+-dmensonalhroa-sasuma shallow waer wave equaon UsngPanlevé-Bӓclund
More informationPolymerization Technology Laboratory Course
Prakkum Polymer Scence/Polymersaonsechnk Versuch Resdence Tme Dsrbuon Polymerzaon Technology Laboraory Course Resdence Tme Dsrbuon of Chemcal Reacors If molecules or elemens of a flud are akng dfferen
More informationVolatility Interpolation
Volaly Inerpolaon Prelmnary Verson March 00 Jesper Andreasen and Bran Huge Danse Mares, Copenhagen wan.daddy@danseban.com brno@danseban.com Elecronc copy avalable a: hp://ssrn.com/absrac=69497 Inro Local
More informationPlanar truss bridge optimization by dynamic programming and linear programming
IABSE-JSCE Jon Conference on Advances n Brdge Engneerng-III, Augus 1-, 015, Dhaka, Bangladesh. ISBN: 978-984-33-9313-5 Amn, Oku, Bhuyan, Ueda (eds.) www.abse-bd.org Planar russ brdge opmzaon by dynamc
More informationMulti-Fuel and Mixed-Mode IC Engine Combustion Simulation with a Detailed Chemistry Based Progress Variable Library Approach
Mul-Fuel and Med-Mode IC Engne Combuson Smulaon wh a Dealed Chemsry Based Progress Varable Lbrary Approach Conens Inroducon Approach Resuls Conclusons 2 Inroducon New Combuson Model- PVM-MF New Legslaons
More informationTesting a new idea to solve the P = NP problem with mathematical induction
Tesng a new dea o solve he P = NP problem wh mahemacal nducon Bacground P and NP are wo classes (ses) of languages n Compuer Scence An open problem s wheher P = NP Ths paper ess a new dea o compare he
More informationA Paper presentation on. Department of Hydrology, Indian Institute of Technology, Roorkee
A Paper presenaon on EXPERIMENTAL INVESTIGATION OF RAINFALL RUNOFF PROCESS by Ank Cakravar M.K.Jan Kapl Rola Deparmen of Hydrology, Indan Insue of Tecnology, Roorkee-247667 Inroducon Ranfall-runoff processes
More informationTransient Numerical of Piston Wind in Subway Station. Haitao Bao
Appled Mechancs and Maerals Submed: 2014-07-20 ISSN: 1662-7482, Vols. 644-650, pp 467-470 Acceped: 2014-07-21 do:10.4028/www.scenfc.ne/amm.644-650.467 Onlne: 2014-09-22 2014 Trans Tech Publcaons, Swzerland
More information2.1 Constitutive Theory
Secon.. Consuve Theory.. Consuve Equaons Governng Equaons The equaons governng he behavour of maerals are (n he spaal form) dρ v & ρ + ρdv v = + ρ = Conservaon of Mass (..a) d x σ j dv dvσ + b = ρ v& +
More informationCahn Hilliard modeling of particles suspended in two-phase flows
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS In. J. Numer. Meh. Fluds (211) Publshed onlne n Wley Onlne Lbrary (wleyonlnelbrary.com)..2623 Cahn Hllard modelng of parcles suspended n wo-phase flows
More informationApproximate Analytic Solution of (2+1) - Dimensional Zakharov-Kuznetsov(Zk) Equations Using Homotopy
Arcle Inernaonal Journal of Modern Mahemacal Scences, 4, (): - Inernaonal Journal of Modern Mahemacal Scences Journal homepage: www.modernscenfcpress.com/journals/jmms.aspx ISSN: 66-86X Florda, USA Approxmae
More informationAbstract: 1. Introduction: components such as damping from the water viscosity and different masses for large manipulated objects.
Dynamc Smulaon for ero-gravy Acves Norman I. Badler, Dmrs N. Meaxas, Gang Huang, Ambarsh Goswam, Sueung Huh Unversy of Pennsylvana, Phladelpha, USA Absrac: Worng and ranng for space acves s dffcul n erresral
More informationV.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS
R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon
More informationA Cell Decomposition Approach to Online Evasive Path Planning and the Video Game Ms. Pac-Man
Cell Decomoson roach o Onlne Evasve Pah Plannng and he Vdeo ame Ms. Pac-Man reg Foderaro Vram Raju Slva Ferrar Laboraory for Inellgen Sysems and Conrols LISC Dearmen of Mechancal Engneerng and Maerals
More informationFall 2010 Graduate Course on Dynamic Learning
Fall 200 Graduae Course on Dynamc Learnng Chaper 4: Parcle Flers Sepember 27, 200 Byoung-Tak Zhang School of Compuer Scence and Engneerng & Cognve Scence and Bran Scence Programs Seoul aonal Unversy hp://b.snu.ac.kr/~bzhang/
More informationIntroduction to classical molecular dynamics
From nano o macro: Inroducon o aomsc modelng echnques IAP 2007 Inroducon o classcal molecular dynamcs xxx Lecure 2 Markus J. Buehler Revew Revew y P 1 P A z x P 2 Fgure by MIT OCW. Revew Equlbrum Sran
More informationEXPERIMENTAL VALIDATION OF A MULTIBODY DYNAMICS MODEL OF THE SUSPENSION SYSTEM OF A TRACKED VEHICLE
NDIA GROUND VEHICLE SYSTEMS ENGINEERING AND TECHNOLOGY SYMPOSIUM MODELING & SIMULATION, TESTING AND VALIDATION (MSTV) MINI-SYMPOSIUM AUGUST 9- DEARBORN, MICHIGAN EXPERIMENTAL VALIDATION OF A MULTIBODY
More informationIterative Learning Control and Applications in Rehabilitation
Ierave Learnng Conrol and Applcaons n Rehablaon Yng Tan The Deparmen of Elecrcal and Elecronc Engneerng School of Engneerng The Unversy of Melbourne Oulne 1. A bref nroducon of he Unversy of Melbourne
More informationVariants of Pegasos. December 11, 2009
Inroducon Varans of Pegasos SooWoong Ryu bshboy@sanford.edu December, 009 Youngsoo Cho yc344@sanford.edu Developng a new SVM algorhm s ongong research opc. Among many exng SVM algorhms, we wll focus on
More informationCS 268: Packet Scheduling
Pace Schedulng Decde when and wha pace o send on oupu ln - Usually mplemened a oupu nerface CS 68: Pace Schedulng flow Ion Soca March 9, 004 Classfer flow flow n Buffer managemen Scheduler soca@cs.bereley.edu
More informationAC : FLEXIBLE MULTIBODY DYNAMICS EXPLICIT SOLVER FOR REAL-TIME SIMULATION OF AN ONLINE VIRTUAL DYNAMICS LAB
AC 2012-5478: FLEXIBLE MULTIBODY DYNAMICS EXPLICIT SOLVER FOR REAL-TIME SIMULATION OF AN ONLINE VIRTUAL DYNAMICS LAB Mr. Haem M. Wasfy, Advanced Scence and Auomaon Corp. Haem Wasfy s he Presden of Advanced
More informationTSS = SST + SSE An orthogonal partition of the total SS
ANOVA: Topc 4. Orhogonal conrass [ST&D p. 183] H 0 : µ 1 = µ =... = µ H 1 : The mean of a leas one reamen group s dfferen To es hs hypohess, a basc ANOVA allocaes he varaon among reamen means (SST) equally
More information3. OVERVIEW OF NUMERICAL METHODS
3 OVERVIEW OF NUMERICAL METHODS 3 Inroducory remarks Ths chaper summarzes hose numercal echnques whose knowledge s ndspensable for he undersandng of he dfferen dscree elemen mehods: he Newon-Raphson-mehod,
More informationThe Finite Element Method for the Analysis of Non-Linear and Dynamic Systems
Swss Federal Insue of Page 1 The Fne Elemen Mehod for he Analyss of Non-Lnear and Dynamc Sysems Prof. Dr. Mchael Havbro Faber Dr. Nebojsa Mojslovc Swss Federal Insue of ETH Zurch, Swzerland Mehod of Fne
More informationOn computing differential transform of nonlinear non-autonomous functions and its applications
On compung dfferenal ransform of nonlnear non-auonomous funcons and s applcaons Essam. R. El-Zahar, and Abdelhalm Ebad Deparmen of Mahemacs, Faculy of Scences and Humanes, Prnce Saam Bn Abdulazz Unversy,
More informationCELLULAR AUTOMATA BASED PATH-PLANNING ALGORITHM FOR AUTONOMOUS MOBILE ROBOTS. Rami Al-Hmouz, Tauseef Gulrez & Adel Al-Jumaily
CELLULAR AUTOMATA BASED PATH-PLANNING ALGORITHM FOR AUTONOMOUS MOBILE ROBOTS Ram Al-Hmouz, Tauseef Gulrez & Adel Al-Jumaly Informaon and Communcaons Group ARC Cenre of Ecellence n Auonomous Sysems Unversy
More informationPerformance Analysis for a Network having Standby Redundant Unit with Waiting in Repair
TECHNI Inernaonal Journal of Compung Scence Communcaon Technologes VOL.5 NO. July 22 (ISSN 974-3375 erformance nalyss for a Nework havng Sby edundan Un wh ang n epar Jendra Sngh 2 abns orwal 2 Deparmen
More informationTHERMODYNAMICS 1. The First Law and Other Basic Concepts (part 2)
Company LOGO THERMODYNAMICS The Frs Law and Oher Basc Conceps (par ) Deparmen of Chemcal Engneerng, Semarang Sae Unversy Dhon Harano S.T., M.T., M.Sc. Have you ever cooked? Equlbrum Equlbrum (con.) Equlbrum
More information( ) lamp power. dx dt T. Introduction to Compact Dynamical Modeling. III.1 Reducing Linear Time Invariant Systems
SF & IH Inroducon o Compac Dynamcal Modelng III. Reducng Lnear me Invaran Sysems Luca Danel Massachuses Insue of echnology Movaons dx A x( + b u( y( c x( Suppose: we are jus neresed n ermnal.e. npu/oupu
More informationCubic Bezier Homotopy Function for Solving Exponential Equations
Penerb Journal of Advanced Research n Compung and Applcaons ISSN (onlne: 46-97 Vol. 4, No.. Pages -8, 6 omoopy Funcon for Solvng Eponenal Equaons S. S. Raml *,,. Mohamad Nor,a, N. S. Saharzan,b and M.
More informationOn One Analytic Method of. Constructing Program Controls
Appled Mahemacal Scences, Vol. 9, 05, no. 8, 409-407 HIKARI Ld, www.m-hkar.com hp://dx.do.org/0.988/ams.05.54349 On One Analyc Mehod of Consrucng Program Conrols A. N. Kvko, S. V. Chsyakov and Yu. E. Balyna
More informationLocal Cost Estimation for Global Query Optimization in a Multidatabase System. Outline
Local os Esmaon for Global uery Opmzaon n a Muldaabase ysem Dr. ang Zhu The Unversy of Mchgan - Dearborn Inroducon Oulne hallenges for O n MDB uery amplng Mehod ualave Approach Fraconal Analyss and Probablsc
More informationDual Approximate Dynamic Programming for Large Scale Hydro Valleys
Dual Approxmae Dynamc Programmng for Large Scale Hydro Valleys Perre Carpener and Jean-Phlppe Chanceler 1 ENSTA ParsTech and ENPC ParsTech CMM Workshop, January 2016 1 Jon work wh J.-C. Alas, suppored
More informationIMPACT MODELING BY MANIFOLD APPROACH IN EXPLICIT TRANSIENT DYNAMICS
COMPDYN III ECCOMS Themac Conference on Compuaonal Mehods n Srucural Dynamcs and Earhquake Engneerng M. Papadrakaks, M. Fragadaks, V. Plevrs (eds.) Corfu, Greece, 5 8 May IMPCT MODELING Y MNIFOLD PPROCH
More informationCH.3. COMPATIBILITY EQUATIONS. Continuum Mechanics Course (MMC) - ETSECCPB - UPC
CH.3. COMPATIBILITY EQUATIONS Connuum Mechancs Course (MMC) - ETSECCPB - UPC Overvew Compably Condons Compably Equaons of a Poenal Vecor Feld Compably Condons for Infnesmal Srans Inegraon of he Infnesmal
More informationMotion of Wavepackets in Non-Hermitian. Quantum Mechanics
Moon of Wavepaces n Non-Herman Quanum Mechancs Nmrod Moseyev Deparmen of Chemsry and Mnerva Cener for Non-lnear Physcs of Complex Sysems, Technon-Israel Insue of Technology www.echnon echnon.ac..ac.l\~nmrod
More informationLet s treat the problem of the response of a system to an applied external force. Again,
Page 33 QUANTUM LNEAR RESPONSE FUNCTON Le s rea he problem of he response of a sysem o an appled exernal force. Agan, H() H f () A H + V () Exernal agen acng on nernal varable Hamlonan for equlbrum sysem
More informationExtracting Duration Facts in Qualitative Simulation using Comparison Calculus
Exracng Duraon Facs n Qualave Smulaon usng Comparson Calculus Tolga Könk 1 and A. C. Cem Say 2 1: konk@umch.edu Compuer Scence and Engneerng ATL., Unv. Mchgan, 1101 Beal Ave., Ann Arbor, 48105-2106 MI,
More informationImproved Coupled Tank Liquid Levels System Based on Swarm Adaptive Tuning of Hybrid Proportional-Integral Neural Network Controller
Amercan J. of Engneerng and Appled Scences (4): 669-675, 009 ISSN 94-700 009 Scence Publcaons Improved Coupled Tan Lqud Levels Sysem Based on Swarm Adapve Tunng of Hybrd Proporonal-Inegral Neural Newor
More informationReal-Time Trajectory Generation and Tracking for Cooperative Control Systems
Real-Tme Trajecor Generaon and Trackng for Cooperave Conrol Ssems Rchard Mrra Jason Hcke Calforna Inse of Technolog MURI Kckoff Meeng 14 Ma 2001 Olne I. Revew of prevos work n rajecor generaon and rackng
More informationOrdinary Differential Equations in Neuroscience with Matlab examples. Aim 1- Gain understanding of how to set up and solve ODE s
Ordnary Dfferenal Equaons n Neuroscence wh Malab eamples. Am - Gan undersandng of how o se up and solve ODE s Am Undersand how o se up an solve a smple eample of he Hebb rule n D Our goal a end of class
More informationLinear Response Theory: The connection between QFT and experiments
Phys540.nb 39 3 Lnear Response Theory: The connecon beween QFT and expermens 3.1. Basc conceps and deas Q: ow do we measure he conducvy of a meal? A: we frs nroduce a weak elecrc feld E, and hen measure
More informationThis document is downloaded from DR-NTU, Nanyang Technological University Library, Singapore.
Ths documen s downloaded from DR-NTU, Nanyang Technologcal Unversy Lbrary, Sngapore. Tle A smplfed verb machng algorhm for word paron n vsual speech processng( Acceped verson ) Auhor(s) Foo, Say We; Yong,
More informationNATIONAL UNIVERSITY OF SINGAPORE PC5202 ADVANCED STATISTICAL MECHANICS. (Semester II: AY ) Time Allowed: 2 Hours
NATONAL UNVERSTY OF SNGAPORE PC5 ADVANCED STATSTCAL MECHANCS (Semeser : AY 1-13) Tme Allowed: Hours NSTRUCTONS TO CANDDATES 1. Ths examnaon paper conans 5 quesons and comprses 4 prned pages.. Answer all
More informationDynamic Model of the Axially Moving Viscoelastic Belt System with Tensioner Pulley Yanqi Liu1, a, Hongyu Wang2, b, Dongxing Cao3, c, Xiaoling Gai1, d
Inernaonal Indsral Informacs and Comper Engneerng Conference (IIICEC 5) Dynamc Model of he Aally Movng Vscoelasc Bel Sysem wh Tensoner Plley Yanq L, a, Hongy Wang, b, Dongng Cao, c, Xaolng Ga, d Bejng
More informationIntroduction ( Week 1-2) Course introduction A brief introduction to molecular biology A brief introduction to sequence comparison Part I: Algorithms
Course organzaon Inroducon Wee -2) Course nroducon A bref nroducon o molecular bology A bref nroducon o sequence comparson Par I: Algorhms for Sequence Analyss Wee 3-8) Chaper -3, Models and heores» Probably
More informationMANY real-world applications (e.g. production
Barebones Parcle Swarm for Ineger Programmng Problems Mahamed G. H. Omran, Andres Engelbrech and Ayed Salman Absrac The performance of wo recen varans of Parcle Swarm Opmzaon (PSO) when appled o Ineger
More informationSymbolic Equation of Motion and Linear Algebra Models for High- Speed Ground Vehicle Simulations.
Symbolc Equaon of Moon and Lnear Algebra Models for Hgh- Speed Ground Vehcle Smulaons. y: James. D. Turner, Ph.D., ADS and Smulaon Cener, 2401 Oakdale lvd., Iowa Cy, Iowa, 52242. Absrac. Synhec envronmen
More informationAvailable online at ScienceDirect. Procedia Engineering 153 (2016 )
Avalable onlne a www.scencedrec.com ScenceDrec Proceda Engneerng 5 (6 ) 747 75 XXV Polsh Russan Slova Semnar Theorecal Foundaon of Cvl Engneerng Vbraon of embedded foundaon a mul-layered base ang no accoun
More informationNUMERICAL SIMULATION AND EXPERIMENTAL INVESTIGATION FOR INDOOR AIR ENVIRONMENT IN AN OFFICE ROOM
NUMERICAL SIMULATION AND EXPERIMENTAL INVESTIGATION FOR INDOOR AIR ENVIRONMENT IN AN OFFICE ROOM D. Xe 1, 2, H-Q. Wang 1,3, and J. Xong 2 1 School of Energy Scence and Engneerng, Cenral Souh Unversy, ChangSha,
More informationLayered Dynamic Textures
Layered Dynamc Texures Anon B Chan and Nuno Vasconcelos Deparmen of Elecrcal and Compuer Engneerng Unversy of Calforna, San Dego abchan@ucsdedu, nuno@eceucsdedu Absrac A dynamc exure s a generave model
More informationStructural Damage Detection Using Optimal Sensor Placement Technique from Measured Acceleration during Earthquake
Cover page Tle: Auhors: Srucural Damage Deecon Usng Opmal Sensor Placemen Technque from Measured Acceleraon durng Earhquake Graduae Suden Seung-Keun Park (Presener) School of Cvl, Urban & Geosysem Engneerng
More informationOutdoor Motion Localization Algorithm Based on Random Probability Density Function
do:10.21311/001.39.9.43 Oudoor Moon Localzaon Algorhm Based on Random Probably Densy Funcon Dan Zhang Eas Chna Jaoong Unversy, Nanchang 330013, Jangx, Chna Absrac In hs paper, a arge localzaon algorhm
More informationKelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
964 Kelvn Vscoelascy and Lagrange Mulplers Appled o he Smulaon of Nonlnear Srucural Vbraon Conrol Absrac Ths sudy proposes a new pure numercal way o model mass / sprng / damper devces o conrol he vbraon
More informationFTCS Solution to the Heat Equation
FTCS Soluon o he Hea Equaon ME 448/548 Noes Gerald Reckenwald Porland Sae Unversy Deparmen of Mechancal Engneerng gerry@pdxedu ME 448/548: FTCS Soluon o he Hea Equaon Overvew Use he forward fne d erence
More informationLecture 11 SVM cont
Lecure SVM con. 0 008 Wha we have done so far We have esalshed ha we wan o fnd a lnear decson oundary whose margn s he larges We know how o measure he margn of a lnear decson oundary Tha s: he mnmum geomerc
More informationAn introduction to Support Vector Machine
An nroducon o Suppor Vecor Machne 報告者 : 黃立德 References: Smon Haykn, "Neural Neworks: a comprehensve foundaon, second edon, 999, Chaper 2,6 Nello Chrsann, John Shawe-Tayer, An Inroducon o Suppor Vecor Machnes,
More informationIntroduction to Compact Dynamical Modeling. III.1 Reducing Linear Time Invariant Systems. Luca Daniel Massachusetts Institute of Technology
SF & IH Inroducon o Compac Dynamcal Modelng III. Reducng Lnear me Invaran Sysems Luca Danel Massachuses Insue of echnology Course Oulne Quck Sneak Prevew I. Assemblng Models from Physcal Problems II. Smulang
More informationExistence and Uniqueness Results for Random Impulsive Integro-Differential Equation
Global Journal of Pure and Appled Mahemacs. ISSN 973-768 Volume 4, Number 6 (8), pp. 89-87 Research Inda Publcaons hp://www.rpublcaon.com Exsence and Unqueness Resuls for Random Impulsve Inegro-Dfferenal
More informationEffect of Resampling Steepness on Particle Filtering Performance in Visual Tracking
102 The Inernaonal Arab Journal of Informaon Technology, Vol. 10, No. 1, January 2013 Effec of Resamplng Seepness on Parcle Flerng Performance n Vsual Trackng Zahdul Islam, Ch-Mn Oh, and Chl-Woo Lee School
More informationLecture Slides for INTRODUCTION TO. Machine Learning. ETHEM ALPAYDIN The MIT Press,
Lecure Sldes for INTRDUCTIN T Machne Learnng ETHEM ALAYDIN The MIT ress, 2004 alpaydn@boun.edu.r hp://www.cmpe.boun.edu.r/~ehem/2ml CHATER 3: Hdden Marov Models Inroducon Modelng dependences n npu; no
More informationONLINE PARAMETRIC IDENTIFICATION OF MASS- SPRING-DAMPER MECHANICAL SYSTEMS USING ACCELERATION MEASUREMENTS
Psas Educavas, No. 18 (SENIE 17), febrero 18, Méxco, Tecnológco Naconal de Méxco en Celaya ONLINE PARAMETRIC IDENTIFICATION OF MASS- SPRING-DAMPER MECHANICAL SYSTEMS USING ACCELERATION MEASUREMENTS Francsco
More informationRobustness Experiments with Two Variance Components
Naonal Insue of Sandards and Technology (NIST) Informaon Technology Laboraory (ITL) Sascal Engneerng Dvson (SED) Robusness Expermens wh Two Varance Componens by Ana Ivelsse Avlés avles@ns.gov Conference
More informationComprehensive Integrated Simulation and Optimization of LPP for EUV Lithography Devices
Comprehense Inegraed Smulaon and Opmaon of LPP for EUV Lhograph Deces A. Hassanen V. Su V. Moroo T. Su B. Rce (Inel) Fourh Inernaonal EUVL Smposum San Dego CA Noember 7-9 2005 Argonne Naonal Laboraor Offce
More informationdoi: info:doi/ /
do: nfo:do/0.063/.322393 nernaonal Conference on Power Conrol and Opmzaon, Bal, ndonesa, -3, June 2009 A COLOR FEATURES-BASED METHOD FOR OBJECT TRACKNG EMPLOYNG A PARTCLE FLTER ALGORTHM Bud Sugand, Hyoungseop
More informationDiscrete Markov Process. Introduction. Example: Balls and Urns. Stochastic Automaton. INTRODUCTION TO Machine Learning 3rd Edition
EHEM ALPAYDI he MI Press, 04 Lecure Sldes for IRODUCIO O Machne Learnng 3rd Edon alpaydn@boun.edu.r hp://www.cmpe.boun.edu.r/~ehem/ml3e Sldes from exboo resource page. Slghly eded and wh addonal examples
More informationA New Haptic Interaction and Visualization Approach for Rigid Molecular Docking in Virtual Environments
Subas, E., Basdogan, C., 28, "A New Hapc Ineracon and sualzaon Approach for Rgd Molecular Dockng n rual Envronmens", Presence: Teleoperaors and rual Envronmens, MIT Press, ol. 17, No.1, pp. 73-9. Absrac
More informationGenetic Algorithm in Parameter Estimation of Nonlinear Dynamic Systems
Genec Algorhm n Parameer Esmaon of Nonlnear Dynamc Sysems E. Paeraks manos@egnaa.ee.auh.gr V. Perds perds@vergna.eng.auh.gr Ah. ehagas kehagas@egnaa.ee.auh.gr hp://skron.conrol.ee.auh.gr/kehagas/ndex.hm
More informationNonequilibrium models for a multi component reactive distillation column
onequlbrum models for a mul componen reacve dsllaon column D. ROUZIEAU, M. PREVOST, M. MEYER IP/E..S.I.G.C LGC Equpe Séparaon Gaz Lqude 8 Chemn de la Loge, 3078 Toulouse Cedex 4, France Absrac A nonequlbrum
More informationComputer Robot Vision Conference 2010
School of Compuer Scence McGll Unversy Compuer Robo Vson Conference 2010 Ioanns Rekles Fundamenal Problems In Robocs How o Go From A o B? (Pah Plannng) Wha does he world looks lke? (mappng) sense from
More informationModelica and Sensitivity Analysis for Parametric Hybrid Differential-Algebraic Equations
Modelca and Sensvy Analyss for Paramerc Hybrd Dfferenal-Algebrac Equaons R. Hannemann-Tamás*, B. Gendler, M. Förser, M. Schmz*, J. Wyes*, L. Würh*, U. Naumann and W. Marquard* *) AVT, RWTH Aachen Unversy,
More informationHidden Markov Models
11-755 Machne Learnng for Sgnal Processng Hdden Markov Models Class 15. 12 Oc 2010 1 Admnsrva HW2 due Tuesday Is everyone on he projecs page? Where are your projec proposals? 2 Recap: Wha s an HMM Probablsc
More informationHEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD
Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 45-5 HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,
More informationSpurious oscillations and conservation errors in interface-capturing schemes
Cener for Turbulence Research Annual Research Brefs 8 115 Spurous oscllaons and conservaon errors n nerface-capurng schemes By E. Johnsen Movaon and objecves When shock-capurng schemes are appled o flows
More information( ) () we define the interaction representation by the unitary transformation () = ()
Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger
More informationIn the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!") i+1,q - [(!
ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL The frs hng o es n wo-way ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal
More informationCONSISTENT EARTHQUAKE ACCELERATION AND DISPLACEMENT RECORDS
APPENDX J CONSSTENT EARTHQUAKE ACCEERATON AND DSPACEMENT RECORDS Earhqake Acceleraons can be Measred. However, Srcres are Sbjeced o Earhqake Dsplacemens J. NTRODUCTON { XE "Acceleraon Records" }A he presen
More informationTHE GENERALIZED LAGRANGE'S EQUATIONS OF THE SECOND KIND AND THE FIELD METHOD FOR THEIR INTEGRATION UDC Ivana Kovačić
FCT UNIVERSITTIS Seres: Mechancs uomac Conrol and Robocs Vol. N o 5 00 pp. - 8 THE GENERLIZED LGRNGE'S EQUTIONS OF THE SECOND KIND ND THE FIELD METHOD FOR THEIR INTEGRTION UDC 5. Ivana Kovačć Faculy of
More informationMOTION ESTIMATION BY INTEGRATED LOW COST SYSTEM (VISION AND MEMS) FOR POSITIONING OF A SCOOTER VESPA
Archves of Phoogrammery, Carography and Remoe Sensng, Vol. 22, 2011, pp. 147-158 ISSN 2083-2214 MOTION ESTIMATION BY INTEGRATED LOW COST SYSTEM (VISION AND MEMS) FOR POSITIONING OF A SCOOTER VESPA Albero
More informationResearch Article Adaptive Synchronization of Complex Dynamical Networks with State Predictor
Appled Mahemacs Volume 3, Arcle ID 39437, 8 pages hp://dxdoorg/55/3/39437 Research Arcle Adapve Synchronzaon of Complex Dynamcal eworks wh Sae Predcor Yunao Sh, Bo Lu, and Xao Han Key Laboraory of Beng
More information