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Elberly D.H., Shoemake K. — Game Physics
Elberly D.H., Shoemake  K. — Game Physics



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Íàçâàíèå: Game Physics

Àâòîðû: 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: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 2004

Êîëè÷åñòâî ñòðàíèö: 776

Äîáàâëåíà â êàòàëîã: 19.03.2006

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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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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