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Bourg D. — Physics for Game Developers
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Íàçâàíèå: Physics for Game DevelopersÀâòîð: Bourg D. Àííîòàöèÿ: It seems to me that when you're confronted with a book title like Physics for Game Developers, you see an undercurrent of "rocks for jocks" in that. It implies that this is physics for folks who never glommed onto physics. As someone who never got above a C in any science class after Biology I in tenth grade, then, it would seem to be right up my alley. Not so. The first five chapters of the book will kill you if you're not familiar with various forms of scientific notation. (Know your Greek letters!) It doesn't help that Bourg has overloaded a few common operators for his own means (for example, he uses * for dot product and ^ for conjunction, when coders will be used to seeing those to symbols used for multiplication and exponentiation respectively). That said, however, once you get past the first five "refresher" chapters, the book picks up a good deal. There's code! And once Bourg is describing what code does, rather than attempting to impart more abstract (well, okay, "abstract" is not the right word, but hopefully you know what I'm getting at), his language becomes a great deal clearer, at least to those of us who think in code rather than physics. Worth picking up if you're in the market for this sort of book, but you might want to pick up a copy of Physics for Dummies to help you through the first part. ***
ßçûê: Ðóáðèêà: Computer science /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2001Êîëè÷åñòâî ñòðàíèö: 350Äîáàâëåíà â êàòàëîã: 20.02.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
* operator in matrix operations, matrix multiplication 301 * operator in matrix operations, scalar multiplication 301 * operator in matrix operations, vector multiplication 302 * operator in quaternion operations, quaternion multiplicadon 307 * operator in quaternion operations, scalar multiplication 307—308 * operator in quaternion operations, vector multiplication 308 * operator in vector operations, scalar multiplication 293 * operator in vector operations, vector dot product 292—293 *= operator in matrix operations 299 *= operator in quaternion operations 305 *= operator in vector operations 290 + operator in matrix operations 300 + operator in quaternion operations 306 + operator in vector operations 291 += operator in matrix operations 298 += operator in quaternion operations 304—305 += operator in vector operations 289 - operator in matrix operations 300 - operator in quaternion operations 307 - operator in vector operations, conjugate 290—291 - operator in vector operations, vector substraction 291 -= operator in matrix operations 299 -= operator in quaternion operations 305 -= operator in vector operations 289—290 /= operator in matrix operations 299 /= operator in quaternion operations 306 /= operator in vector operations 290 /operator in matrix operations 300 /operator in quaternion operations 308 /operator in vector operations 294 2D particle kinematics 31—33 2D particle kinetics 70—75 2D rigid body simulator 184—204 2D rigid body simulator, flight controls 194—198 2D rigid body simulator, flight controls, bow thrusters 195—196 2D rigid body simulator, flight controls, propeller 195 2D rigid body simulator, integration 191—194 2D rigid body simulator, main elements of 184 2D rigid body simulator, model 185—191 2D rigid body simulator, model, calculation of forces on vehicle 188—191 2D rigid body simulator, model, define vehicle structure 185—186 2D rigid body simulator, model, initialization 186—188 2D rigid body simulator, rendering 198—204 3D particle kinematics 33—43 3D particle kinematics, vectors 37 3D particle kinematics, x-components 34—36 3D particle kinematics, y-components 36 3D particle kinematics, z-components 37 3D particle kinetics 75—82 3D particle kinetics, x-components 77—78 3D particle kinetics, y-compotients 78 3D particle kinetics, z-components 78—79 3D rigid body simulator 230—248 3D rigid body simulator, flight controls 238—242 3D rigid body simulator, integration 235—238 3D rigid body simulator, model 231—235 3D rigid body simulator, rendering 242—248 3D, multiple bodies in 249—270 Acceleration vector, in law of motion 16 Acceleration, angular 4 50—56 Acceleration, centripetal 52—53 Acceleration, concepts 27—28 Acceleration, constant 28—30 Acceleration, equations for 72—73 Acceleration, linear, units and symbol for 4 Acceleration, nonconstant 30—31 Acceleration, relative 55—56 Acceleration, tangential 52—53 Acceleration, velocity and 25—28 Aerodynamic drag 165—167 Aerodynamic drag in cars 168 Aerodynamic drag, components of 165 Aerodynamic drag, induced 165—166 Aerodynamic drag, momentum 166 Aerodynamic drag, viscous 165 Aerodynamic drag, wetted 166—167 Aerostatic lift 163 Ailerons, in aircraft 131 Aircraft 121—145 Aircraft, airfoil 123 Aircraft, angle of attack 123 Aircraft, chord line 123 Aircraft, control 130—131 Aircraft, control, ailerons 131 Aircraft, control, elevators 131 Aircraft, control, flaps 130—131 Aircraft, control, rudders 131 Aircraft, fluid dynamic drag 125 128 Aircraft, forces on 121—122 Aircraft, geometry of 122—124 Aircraft, lift 124—125 Aircraft, mean camber line 123 Aircraft, modeling 132—145 231—235 Aircraft, modeling, fluid dynamic drag 133—134 Aircraft, modeling, lift 133—134 Aircraft, modeling, sample code 135—143 Aircraft, modeling, sample program 134 Aircraft, modeling, steps in 132 Aircraft, parts of 122 123 Aircraft, pitch axis 124 Aircraft, roll axis 124 Aircraft, thrust 129 143 Aircraft, yaw axis 124 Airfoil 123 Airfoil, moving through air 124—125 Airfoil, stalled 128 129 Angle of attack 123 Angle of attack in lift and drag 126—127 Angle of attack, critical 128 Angle of attack, stalls and 128 129 Angular acceleration 50—56 83 Angular impulse 88 Angular impulse in collisions 96—98 Angular momentum in law of motion 17 Angular momentum, equation 19—20 Angular motion in rigid body kinetics 82—85 Angular motion, defined 5 Angular velocity 50—56 86 Aspect ratio 123 Banking, in cars 171 Baseball as collision example 93—95 Baseball as Magnus effect example 116 Bernoulli's equation 107 125 Billiard ball game, as collision example 91—93 Boat see "Ships" Boundary layer, in fluid dynamic drag 108 Buoyancy force 62—64 71 Buoyancy force in ship flotation 147—148 Cannon ball game, fluid dynamic drag example 111—112 CARS 168—171 Cars, power 169—170 Cars, resistance 168—169 Cars, roadway banking 171 Cars, stopping distance 170 Cartesian coordinate system 4 49—50 Center of gravity in ship flotation 147—148 see centripetal acceleration 52—53 Centripetal acceleration, equation for 54 Centripetal force, in car banking 171 Cloth simularion 271—284 Coefficient of restitution 90 Collision detection 87 205—206 Collision response 87 Collision response in particle systems 282—283 Collision response, angular effects 211—222 Collision response, angular effects, check for collision 211—221 Collision response, angular effects, collision impulse 221—222 Collision response, angular effects, penetration 215 221 Collision response, angular effects, vertex lists 216 Collision response, angular effects, vertex-edge 214—215 218—221 Collision response, angular effects, vertex-vertex 213—214 216—218 Collision response, defined 205 Collision response, implementing 205—222 Collision response, in 3D multiple body simulation 266—269 Collision response, linear 206—211 Collision response, linear, check for collision 207 Collision response, linear, collision impulse 209—210 Collision response, linear, determination of collision 206—208 Collisions 87—100 Collisions of particles 95—96 Collisions of rigid bodies 96—98 Collisions, angular impulse in 96—98 Collisions, ball and bat example 93—95 Collisions, billiard ball example 91—93 Collisions, friction and 98—100 Collisions, golf example 98—100 Collisions, impact 89—95 Collisions, impulse-momentum principle 88—89 Collisions, line of action of 90 Collisions, linear impulse in 95—96 209—210 Collisions, types of, inelastic 90 Collisions, types of, penetration 206—207 212 Collisions, types of, plastic 90 Collisions, types of, vertex-edge 211—212 Collisions, types of, vertex-vertex 211—212 Conjugate in quaternion operations 306 Conjugate in vector operations 290—291 Conjugate in vector operations class 290—291 Constant acceleration 28—30 Conversion functions, in quaternion operations 312 Coordinate system 4—5 Coordinate system, right-handed Cartesian 4 49—50 Dampers, defined 64 Dampers, equation for 64—65 Dampers, uses for 64 Density, units and symbol for 4 Determinant, in matrix operations 296—297 Dihedral angle 138 Displacement in angular velocity and acceleration 50 Displacement vs. distance traveled 27 Displacement, concepts 27 Displacement, ships and 146 Distance traveled vs. displacement 27 Distance traveled, equations for 72—73 Distance, skidding 170 Distance, stopping 170 Drag see "Aerodynamic drag" "Fluid Drag coefficient 61 111 130 Elevators, in aircraft 131 Equations of motion 69 Equations of motion for two-dimensional kinetics 83 Equations of motion in real-time simulations 173—174 Error of order 175 Error, Euler 176 177 Error, truncation 175 Euler's angles, in banking of cars 171 Euler's method in 3D rigid body simulation 235—236 Euler's method in real-time simulations 174—180 Euler's method in real-time simulations, Euler error 176 177 Euler's method in real-time simulations, integration comparison 176 Euler's method in real-time simulations, integration step 175 Euler's method in real-time simulations, sample code 178—180 Euler's method with multiple bodies in 3D 264—265 Euler's method, explosion 43—48 Euler's method, explosion, sample code 45—48 Euler's method, explosion, sample program 44—45 Euler's method, improved, for real-time simulations 180—183 Euler's method, improved, Hovercraft example 191—192 Flight controls, 2D rigid body simulator 194—198 Flight controls, 3D rigid body simulator 238—242 Flotation, in ships 147—149 Fluid dynamic drag 60—61 Fluid dynamic drag around a sphere 107—109 Fluid dynamic drag in aircraft 125 128 Fluid dynamic drag in projectiles 106—114 Fluid dynamic drag of spinning sphere 114—118 Fluid dynamic drag, boundary layer 108 Fluid dynamic drag, cannon ball example 111—112 Fluid dynamic drag, drag coefficient 61 111 Fluid dynamic drag, fast-moving 61 Fluid dynamic drag, Reynold's number 109—110 Fluid dynamic drag, separation point in 108—109 Fluid dynamic drag, slow-moving 61 Fluid dynamic drag, turbulent wake 108—109 Force(s) 57—68 Force(s) on aircraft in flight 121—122 Force(s), buoyancy and 62—64 Force(s), concepts 57—58 Force(s), contact 57 Force(s), defined 65 Force(s), field 57 58—59 Force(s), fluid dynamic drag 60—61 Force(s), friction 59—60 Force(s), impulse 88 Force(s), pressure and 62 Force(s), springs and dampers 64—65 Force(s), torque and 65—68 Force(s), units and symbol for 4 Force-at-a-distance 57 Friction 59—60 Friction drag, on body through fluid 3 Friction, calculation of 59—60 Friction, coefficients of, for common surfaces 60 Friction, collisions and 98—100 GetScalar, in quaternion operations 304 GetVector, in quaternion operations 304 Golf as collision example 98—100 Golf as Magnus effect example 116 Hamilton, William 227 Hook's law 64 Horsepower, in cars 169—170 Hovercraft 163—167 Hovercraft over water 165—167 Hovercraft, 2D rigid body simulation 184—204 Hovercraft, aerodynamic drag 163—167 Hovercraft, aerodynamic drag, components of 165 Hovercraft, aerodynamic drag, induced 165—166 Hovercraft, aerodynamic drag, momentum 166 Hovercraft, aerodynamic drag, viscous 165 Hovercraft, aerodynamic drag, wetted 166—167 Hovercraft, concepts 163—165 Hovercraft, concepts, aerostatic lift 163—165 Hovercraft, concepts, skirts for 164 Hovercraft, linear collision response in 206—211 Hovercraft, resistance 165—167 Impact of collision 89—95 91 Impulse, angular 88 Impulse, collision, angular 96—98 221—222 Impulse, collision, linear 95—96 209—210 Impulse, force 88 Impulse, linear 88 Impulse, torque 88 Impulse-momentum principle 88—89 Inelastic collisions 90 Inertia tensors 19—24 Inertia tensors, angular momentum equation 19—20 Inertia tensors, products of inertia 20—21 Inertia tensors, sample code 23—24 Inertia tensors, symmetry 22 Inertia tensors, transfer of axes 21 Inertia, products of 20—21 Instantaneous velocity 27 Instantaneous velocity, calculation for 28—29 Inverse, in matrix operations 297—298 Kinematic viscosity units and symbol for 4 Kinematics 25—56 Kinematics, 2D particle 31—33 Kinematics, 3D particle 33—43 Kinematics, angular velocity and acceleration 50—56 Kinematics, constant acceleration 28—30
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