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Diff — Euler angles

Revision #2741 → #3219 · back to history

modifiedGimbal lock1320f7972dc6
FieldFrom #2741To #3219
labelGimbal lock ambiguityGimbal lock
modifiedSix proper-Euler sequence choices3072251ef74b
FieldFrom #2741To #3219
kinddefinitionproposition
labelProper Euler axis choicesSix proper-Euler sequence choices
deletedPrimed axis notationf2cc1f3d5915
deletedEuler angle symbols58b67c7e5359
deletedBroad Euler angle terminologyce6c69f0647d
deletedGeometric Euler anglesab9040b441a2
deletedIntrinsic axes change orientation0529ec25c349
deletedEuler angles by intrinsic rotations03edfee70ca3
deletedSuccessive frame orientations43c90b15c5d6
deletedNode as primed x-axis60ba965a6131
deletedThird rotation preserves Z orientationc3c09cda0e15
deletedExtrinsic fixed frame9921f4d92279
deletedExtrinsic z rotation stepcb5bce75a7a7
deletedExtrinsic x rotation stepeb95a21616e9
deletedFinal extrinsic z rotation step7c4c348a74fd
deletedFixed-axis convention examplesfe185f7496b6
deletedIntrinsic rotation from rotating frame actiond64338f76f99
deletedIntrinsic 3-1-3 notation36b095a9c3da
deletedPositive angle signf64a585db5c4
deletedNegative angle signb472c2d892d7
deletedAlpha and gamma valid range4c81217fd071
deletedBeta valid rangesed316ee3e2d1
deletedProper Euler repeated axis64d4ca631c7e
deletedProper Euler sequence list49d171cecdbd
deletedMixed axes of rotation system432575f05684
deletedOrientation-change decomposition depends on framed41a807d6170
deletedMovements as gimbal setc31f6c8f2738
deletedIntermediate frames901255bcf8c4
deletedAircraft world-frame orientationdddb2772e488
deletedVehicle axis convention variabilityfb0f7240af99
deletedTait-Bryan extrinsic rotations12c08035ddd2
deletedTait-Bryan intrinsic rotationsfa7691aa49b7
deletedTait-Bryan sign conventions95a9386807c8
deletedHeading, bank, and elevation framesfc6233082427
deletedMiddle-frame elevationb0dac7ac79ed
deletedYaw gives bearing5be4e8a484b6
deletedPitch gives elevation4ca6769de507
deletedRoll gives bank angleb86b0ff5bafb
deletedYaw, pitch, and roll name18d5aa25d6e0
deletedYaw-pitch-roll order dependenceb9837bbcdceb
deletedElemental geometry method4276ee7f1350
deletedOther conventions by axis renaming0249af0f2611
deletedProper Euler double projectionb563507ae946
deletedProper Euler analogous construction7c97c8ef45d7
deletedNegative theta convention06ca5d6951d9
deletedTait-Bryan analogous formulasa18e6aebb7ab
deletedTait-Bryan expression formulasf03c30f7a2a8
deletedGeometric solution uniquenessa6f95742eee0
deletedRotation-sequence multiple solutions8bbff109d958
deletedNonunique sequence without ranges99f56c97d8aa
deletedChange between orientation conventions81ffbbbcfc33
deletedQuaternion rotation advantage1d3e60241e18
deletedQuaternion angle-axis extractioncbacc7a2f908
deletedQuaternion interpolation6770983f758b
deletedRotation matrix as first conversion step6ab119e5e3d8
deletedRotation matrix convention example9dfc9e15aa7a
deletedMatrix convention dependence4755e52f938e
deletedColumn-vector matrix conventionb3580b52650f
deletedActive rotation matrix conventionba0b25bc0eae
deletedIntrinsic matrix convention955d9245e35c
deletedRight-handed matrix convention21ba1cfd9646
deletedSine and cosine abbreviationse005d210e237
deletedRotation matrix angle formulas8c8e76262965
deletedSU(2) beta rangea8c795c12e15
deletedGeometric algebra abstraction938cbb686e91
deletedRotation about an axis fails in high dimensions7394e92878ce
deletedRotation in a planeb1746adc993f
deletedEuler angles and coordinate planesd2d09c7df799
deletedGimbal direct measurabilitye94549cda000
deletedGyro and lab frame equivalence516f1c5db3c1
deletedEuler angles directly measurable78e2acd23fe2
deletedIntrinsic rotation requires multiple gimbalsfd3e91077b8b
deletedBody-coordinate inertia tensor constancya04d08e994bf
deletedCrystallographic texture by Euler angles8da11f0eac91
deletedCrystallite orientation depictionaba933916bc0
deletedTexture passive rotations4f110eae389f
deletedBunge matrix transpose5b7d435f828a
deletedRobotics wrist degrees of freedom7d1014cc76b3
deletedElectronic stability control36110135086f
deletedCamera pointing in 3D modeling0ddbd5efdd4c
deletedGun fire control corrections3ba83e768465
deletedGun order Euler angle computationseed5f34787b4
deletedAngular momentum quantum mechanicsb9412300fe71
deletedEuler angles in SO(3) calculations680ad8e0ff04
deletedMobile-device Euler angles0843db1b2da4
deletedEuler-angle mobile applications758c9d2054e3