I wanted to go ahead and share my ballistic curves that I use for BF4, BFH, and destiny. I also want to comment that I don't use AA, so you may need to up the sensitivity if you do use AA. There are some similar existing curves, and if these already exist I do apologize as I don't remember seeing them.
My setup:
Log g502 @ 3600 dpi, 1000hz polling
Roccat Hiro mouse pad, and some pro slick skates for mouse
20150816 firmware/manager
No steady aim
Battlefield 4:
This curve allows for 1:1 movement, and simulates acceleration at the top end (for small, top end jerks) and in hip you don't need precise movements at top end. It's mainly for whipping around 180 degrees.
On the ADS there is minor negative acceleration at the beginning of the curve. This takes the jitters off when moving slow then moves back to 1:1 movement.
Vehicles have a small negative acceleration at the bottom of slope to eliminate jitters, and ramps up at the end of the slope to help move "turrets" and flying vehicles faster.
Hip sense 25 y/x 1.5 boost 500-1000>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAoUHigyPEZQWmRueJagqrS+yMjI:X4MB
<<< XIM4 END PASTE <<<
ADS sense 18 y/x 2.0 boost 500-1000>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAgSHCYyPEZQWmRueIKMlqCqtL7I:X4MB
<<< XIM4 END PASTE <<<
Vehicles sense 100 y/x 1.5 boost 0 (with the new vehicle sensitivity slider, boost isn't really needed)
>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAkSGiYyPEZQWmSCjJagqrS+yMjI:X4MB
<<< XIM4 END PASTE <<<
Battlefield Hardline:
I wanted to use the same curves for BFH, but the look mechanic seems slightly different. Same concept as BF4, but tuned for BFH.
Hip sense 24 y/x 1.5 boost 0>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAoUHigyPEZQWm54goyWoKq0vsjI:X4MB
<<< XIM4 END PASTE <<<
ADS sense 10 y/x 2.0 boost 0>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAQMFR8pMz1HUVtmeIKMlqCqtL7I:X4MB
<<< XIM4 END PASTE <<<
Vehicles (I use the same as for BF4)
Destiny:
For Destiny, there was a definite progressive acceleration felt when using the mouse and it really bugged me and at the same time ADS was to "bouncy". The hip eliminates that progressive acceleration, and it feels crisp turning. The ADS drops to help steady aim without sacrificing precision.
Other sprint curves felt too progressive, so this one helps keep jitters down and ramps up fairly quickly to turn (sprinting or sparrow).
Hip sense 15 y/x 1.5 boost 500>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAsWKTI8RlBaZG5ubniCjJagqrS+:X4MB
<<< XIM4 END PASTE <<<
ADS sense 11 y/x 1.5 boost 500>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAoUFB4oMTtFT1ljbXeBi5WfqbO+:X4MB
<<< XIM4 END PASTE <<<
Sprint/Sparrow sense 45 y/x .5 boost 3850>>> XIM4 [Mouse Ballistics] START PASTE >>>
X4MB:AAAAGgA0AC4AMAAwAC4AMgAwADEANQAwADgAMQA2AAoKFB4oMjxvyMjIyMjIyMjIyMjI:X4MB
<<< XIM4 END PASTE <<<

I have never been more on target than when using these curves, but your experience may differ.