I never ment to imply that NURBS were necessary -- I like them for 
other reasons (like exact representation of conics, splaying the control 
polygon gives you a helix in closed form (read threading in any 
arbitrary axis), is a natural representation produced from 3D models and 
CAD systems, and of course the ability to smooth and analyze them.  I 
will take a look at the TinyG firmware for reference, and I am aware 
that there are a number of ways to get to achieve jerk minimization.

Thanks for the TinyG pointer BTW,

   EBo --

On Jul 8 2013 12:51 AM, Alexey Starikovskiy wrote:
> There is an quite simple algorithm, which is used in TinyG firmware. 
> There
> is a link to the paper from their github. No NURBS involved.
>
>
> On Mon, Jul 8, 2013 at 1:23 AM, EBo <[email protected]> 
> wrote:
>
>> Since I do not have my references handy I thought I would review 
>> some
>> of the properties necessary to geometrically minimize jerk.  I found 
>> a
>> couple of references online that might make for a good read:
>>
>>
>> Smooth trajectory generation for five-axis machine tools:
>>
>>
>> 
>> http://academia.edu/3862221/Smooth_trajectory_generation_for_ve-axis_machine_tools
>>
>> So it looks like they are requiring C3 continuity, and uses NURBS.
>> This might comtinue the interesting debate...
>>
>>    EBo --
>>
>>
>> 
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