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                    Elberly D.H., Shoemake  K. — Game Physics 
                  
                
                    
                        
                            
                                
                                    Îáñóäèòå êíèãó íà íàó÷íîì ôîðóìå    Íàøëè îïå÷àòêó? 
 
                                
                                    Íàçâàíèå:   Game PhysicsÀâòîðû:   Elberly D.H., Shoemake  K. Àííîòàöèÿ:  Game Physics is an introduction to the ideas and techniques needed to create physically realistic 3D graphic environments. As a companion volume to Dave Eberly's industry standard 3D Game Engine Design, Game Physics shares a similar practical approach and format. Dave includes simulations to introduce the key problems involved and then gradually reveals the mathematical and physical concepts needed to solve them. He then describes all the algorithmic foundations and uses code examples and working source code to show how they are implemented, culminating in a large collection of physical simulations. This book tackles the complex, challenging issues that other books avoid, including Lagrangian dynamics, rigid body dynamics, impulse methods, resting contact, linear complementarity problems, deformable bodies, mass-spring systems, friction, numerical solution of differential equations, numerical stability and its relationship to physical stability, and Verlet integration methods. Dave even describes when real physics isn't necessary—and hacked physics will do.
ßçûê:  Ðóáðèêà:  Ôèçèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ:  Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k:   ed2k stats Ãîä èçäàíèÿ:  2004Êîëè÷åñòâî ñòðàíèö:  776Äîáàâëåíà â êàòàëîã:  19.03.2006Îïåðàöèè:  Ïîëîæèòü íà ïîëêó  |
	 
	Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà  | Ñêîïèðîâàòü ID 
                                 
                             
                        
                     
                 
                                                                
			          
                
                    Ïðåäìåòíûé óêàçàòåëü 
                  
                
                    
                        Functions (calculus), global minimum 711—712 714 715 Functions (calculus), local maximum 711 Functions (calculus), local minimum 711 Functions (calculus), multivariate 691 Functions (calculus), multivariate, derivatives 725 Functions (calculus), multivariate, local extrema 664—668 Functions (calculus), multivariate, optimization 713—715 Functions (calculus), range 691 Functions (calculus), recursive descent 713—714 Functions (calculus), univariate, derivatives 719—723 Functions (calculus), univariate, optimization 711—713 Functions (calculus), value change 694 Fundamental theorem of algebra 445 547 616—620 647 656 Fundamental theorem of calculus 703 Gamma 363 Gaussian elimination 554—558 Gaussian elimination, defined 554 Gaussian elimination, elementary row operations and 554—558 Gaussian elimination, total cost 558 Gauss’s principle of least constraints 362 Gear’s fifth-order predictor-corrector method 485—487 Gear’s fifth-order predictor-corrector method, energy conservation 487 Gear’s fifth-order predictor-corrector method, matrix prediction step 486 Gear’s fifth-order predictor-corrector method, reversibility and 487 Gear’s fifth-order predictor-corrector method, Taylor’s Theorem basis 485 Gear’s fifth-order predictor-corrector method, Velocity Verlet method vs. 486 487 Gelatinous cube 172 174 General autonomous systems, defined 453 General autonomous systems, stability analysis 453—454 General autonomous systems, stability of 453—455 General duality theory 426—127 General-order differential equations 444—145 see General-order differential equations, characteristic polynomial for 444 447 General-order differential equations, constant coefficients 444 General-order differential equations, converting 445 General-order differential equations, defined 444 General-order differential equations, homogeneous linear 446 General-order differential equations, initial-value problem 444 Generalized cylinder surfaces 193—194 see Generalized cylinder surfaces, defined 193 Generalized cylinder surfaces, normal vectors 193 Generalized cylinder surfaces, skirt model 194 Generalized eigenspaces 657 658 Generalized forces 118 Generalized forces of rigid bodies 124 Generalized forces, bent pipe physical system example 131 Generalized forces, constraint force determination and 113 Generalized forces, defined 103 Generalized forces, flat board (rough plane) 150 Generalized forces, multiple particles (rough plane) 146 Generalized forces, pulley and mass system example 127 Generalized forces, single particle (rough plane) 142 Generalized forces, thin rod (rough plane) 147—148 Generalized forces, total 118 Generalized forces, two particles (rough plane) 144—145 Generalized function 244 Geodesic curves 3 Get Intersection function 283 GetESegment function 334 GetFPolygon function 334 GetKey function 180 GetMaximumlndependentSet function 302 Gill’s method 470 Global extremum 711—712 Global state arrays 231 238 GNU Image Manipulation Program (GIMP) 379 Gouraud shading 367 Gram — Schmidt orthonormalization 226 227 615 Gram — Schmidt orthonormalization applied to three vectors in space 605 Gram — Schmidt orthonormalization applied to two vectors in the plane 604 Gram — Schmidt orthonormalization, defined 604 Gram — Schmidt orthonormalization, illustrated 604 605 Graphics processing units (GPUs) 4 Graphs, cusp 700 Graphs, illustrated 699 Graphs, kink 700 Graphs, nonconvex functions 420 Graphs, secant line of 698 Graphs, tangent line of 698 708 Gravitational forces 32—34 Gravitational forces, conservative 82 Gravitational forces, constraint force balance 114 Gravitational forces, infinitesimal 45 Gravitational forces, on objects by Earth 33 Gravitational forces, on objects located near Earth’s surface 34 Gravitational forces, one-dimensional array (masses) 165 Gravitational forces, single particle on rough plane 142 Gravitational forces, two-body problem 137 Gravitational forces, universal constant 32 Green’s Theorem 67 69 Half angles 517—518 528 Hessian matrix 465 Heun’s method 467 High Level Shading Language 368 Higher-order Taylor methods 461—462 Higher-order Taylor methods, defined 461 Higher-order Taylor methods, example 461 Hollerith cards 1 Hooke’s law 34 106 173 Householder reduction 655 Hypervolume of simplex 682 686—689 Hypervolume, defined 682 Hypervolume, notation 683 685 Hypervolume, recursive formula 686 Hypervolume, signed 689 Hypervolume, summations in 689 I-COLLIDE 363—364 I-COLLIDE, defined 363 I-COLLIDE, variations 364 Identity matrices 569 572 574 impact 364 Implicit Euler’s method 463 464 see Implicit Euler’s method, application to modal equation 500 Implicit Euler’s method, applied to simple pendulum problem 496 Implicit Euler’s method, characteristic polynomial 500 Implicit Euler’s method, iterate generation pseudocode 495 Implicit Euler’s method, numerical method 495 Implicit Euler’s method, time between zeros 496 Implicit nth-order difference equation 727 Implicit surface deformation 203—220 Implicit surface deformation, example 217—220 Implicit surface deformation, functions 205 Implicit surface deformation, illustrated 205 Implicit surface deformation, isocurve extraction 208—212 Implicit surface deformation, isosurface extraction 212—220 Implicit surface deformation, level set extraction 206—208 Implicit surface deformation, time-varying 206 Impulse functions 258 Impulse-based approach 221 Impulses 243—245 Impulses at spatial points 253 Impulses, angular velocity after 247 249 Impulses, angular velocity before 247 Impulses, imparted by force 245 Impulses, simultaneous 257 Impulses, velocity after 245 Impulses, velocity before 245 246 Impulsive forces 240 Impulsive forces, change of angular velocity 246 Impulsive forces, change of velocity 246 Impulsive forces, computing 254 Impulsive forces, defined 245 Impulsive forces, magnitude 251 264 Impulsive forces, opposite direction 247 Impulsive forces, postulating 246 259 Impulsive forces, variation 362 Impulsive torque 246 Incidence angles 383 Independent vectors 624 Index of refraction 384 Inequality 459 460 Inequality constraints 394 692 Inequality constraints, four 392 Inequality constraints, linear 392 398 Inequality constraints, lines 395 Inequality constraints, redundant 395 Inequality constraints, six 394 Inertia tensor 225—226 Inertia tensor for single particle 60 Inertia tensor for solid triangle 61 Inertia tensor in body coordinates 226 236 Inertia tensor, computing 66 225—226 Inertia tensor, coordinate system construction 225 Inertia tensor, defined 59 Inertia tensor, inverse 249 Inertia tensor, measurement 225 Inertia tensor, solid polyhedron 66—79 Inertia, defined 31 Inertia, moment, about line 59 Inertia, moment, in one dimension 57 Inertia, moment, in three dimensions 58—66 Inertia, moment, in two dimensions 58 Inertia, moments, about õ-, y- and z-axes 59 Inertia, products of 57—66 Inertial coordinates 32 101 Inertial frame 32 101 Infinitesimal area 702 Infinitesimal displacement 102 Infinitesimal forces 123 Infinitesimal mass 45 48 121 Infinitesimal mass for parametric curves 50 55 Infinitesimal mass, distribution 45 Infinitesimal quantities 691 Infinitesimal volume 708 Initial value problem, defined 437 Initial value problem, first-order differential equations 438 445 Initial value problem, general-order differential equations 444 Initial value problem, positional condition 479 Initial value problem, second-order differential equations 442 479 Initial value problem, solution 443 Initial value problem, velocity condition 479 InitializeBodyState function 229 230 Input states 231 234 Insertion sort 357 Instantaneous speed 693 699 Integers 545 Integral calculus 691 701—704 Integral formulation 462—464 integrand 703 integration, defined 703 Integration, iterated 709 710 Integration, multivariate calculus 708—710 Integration, univariate calculus 701—704 Interpolation, bilinear 541 Interpolation, linear, over a tetrahedron 680 Interpolation, linear, over a triangle 679 Interpolation, polynomial 476—477 Interpolation, quadrangle 541 542 Interpolation, quaternions 539—542 Interpolation, spherical linear 539—541 Interpolation, spherical quadrangle 541—542 Intersecting boxes 360 Intersecting intervals 354—359 Intersecting intervals, active 355 Intersecting intervals, determining 354 Intersecting intervals, moved 358 Intersecting intervals, nonoverlapping 358 360 Intersecting intervals, sorted end points 355 Intersecting intervals, sweep algorithm 354—355 Intersecting rectangles 359—360 Intersection calculators, features 333 Intersection calculators, possible outputs 333 Intersection calculators, pseudocode 322—324 331—333 Intersection set 282 Intersections of polytopes 283 Intersections, convex polygons 312 Intersections, convex polygons, testing pseudocode 312—314 Intersections, detection 281 Intersections, edge-edge 242 266 270 Intersections, edge-face 241 242 Intersections, face-face 241 242 Intersections, pairwise 394—396 Intersections, prediction 312 315 Intersections, testing pseudocode 291—292 Intersections, vertex-face 241 242 270 Intersections, vertex-vertex 315 Intervals, active 355 356 Intervals, average speed calculation on 693 Intervals, intersecting 354—359 Intervals, OBB computation 343 Intervals, projection 317 318 336 344 346 Intervals, time 343 Inverse matrices 572—574 Inverse matrices, computing 226 Inverse matrices, defined 572 Inverse matrices, examples 572—573 574 Inverses, computing 576 Inverses, construction of 575—577 Inverses, defined 574 Inverses, left 574 622—623 Inverses, properties 574—575 Invertible matrix 449 Iridescence 388—389 Iridescence, defined 388 Iridescence, shader application 388 Iridescence, shader application screen shots 389 Isocurves in entire plane 210—211 Isocurves, extraction 208—212 Isocurves, form 208 Isocurves, hyperbolic, configurations 211 Isocurves, intersection 209 Isocurves, mesh consistency with 210 Isosurfaces, extraction 212—220 Isosurfaces, form 212—213 Isosurfaces, interior edge point intersection 214 Iterated integration see also Calculus Integration Iterated integration, defined 709 Iterated integration, dimensions 710 Karush — Kuhn — Tucker (KKT) points, conditions 423 see Karush — Kuhn — Tucker (KKT) points, critical points analogy 422 Karush — Kuhn — Tucker (KKT) points, defined 422 Karush — Kuhn — Tucker (KKT) points, first condition 423 Karush — Kuhn — Tucker (KKT) points, reformulated conditions 424 Karush — Kuhn — Tucker (KKT) points, second condition 423 Karush — Kuhn — Tucker (KKT) points, third condition 423 Kepler’s laws, defined 88 Kepler’s laws, first law 89—90 Kepler’s laws, second law 90—91 Kinematics 15—31 Kinematics, continuous materials 28—31 Kinematics, defined 13 15 Kinematics, particle systems 28—31 Kinematics, single particle 15—27 kinetic energy 14 108 Kinetic energy of system 81 Kinetic energy, additive nature 81 Kinetic energy, bent pipe physical system example 130—131 Kinetic energy, constraining forces 113 Kinetic energy, defined 81 Kinetic energy, double-pendulum problem 135 Kinetic energy, flat board (rough plane) 149 Kinetic energy, Lagrangian dynamics and 14 Kinetic energy, masses aligned vertically example 120 Kinetic energy, maximum 245 Kinetic energy, measurement 81 Kinetic energy, multiple particles (rough plane) 146 Kinetic energy, pulley and mass system example 126 Kinetic energy, simple pendulum friction example 140 Kinetic energy, single particle (rough plane) 142 Kinetic energy, solid box (rough plane) 151 152 
                            
                     
                  
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