scurve trajectory planner

So when lines have no intersection, there is no extra torsion turn.

that's quite interesting.

Hello,

I've been following this topic for a long time, great work.

I looked at the jerk with the Hal oscilloscope, there seemed to be outliers.
see image. 

@Arciera,

Yes. Interesting.

The clothoid takes as input the xy angle and the z angle. Derived from the 3d vector.
I personally should not design the abstract like this, where it uses xy & z angles.
I should prefer to design the abstract in pure 3d vector format. As this is cleaner in my view.
Now we need to transform xy & z angles into 3d vectors etc. I think this could be avoided.

If we should store extra info about a line vector self axis rotation 0 up to 2*M_PI. We could do a clothoid fit with multiple
torsion turns for example. The clothoid fit would then look like a helix fit.

There is still some kind of overfitting in some cases, where the clothoid fit is valid, but takes extra space into the workpiece.
This is inherent to the 4-clothoid-spline fit, as a 2-clothoid-spline can not fit like that, as it has less contrains.

I was considering to create a 2 clothoid spline library based on this 3d clothoid library. This is like downgrading the current
4-clothoid-spline. But will decide that later this year.

Hi Ruediger,

We are aware of spikes. Haha.

Even the most elegant curve seems to show acceleration spikes in halscope.
I dont have the J0 jerk pin here in my axis config.

One way to rule out spikes is to introduce back-end runners. They will filter out all spikes.

Good find btw. And nice you did some research on the codebase.

Hello,
attached is the hal file with the jerk pins. 

Gruß Rüdiger
 

 

Hello,
I tested further and apparently the acceleration is not limited. In the ini it says 'MAX_ACCELERATION = 5000' in the halscope at approx. -10000.

Gruß Rüdiger

 

@ Rüdiger,

Max acc scurve = 2 x acc.
at scurve inflection point the
Scurve acc = 2 x acc.
see  scurve lib abstract.
 

Hi all,

Today is activated the abc, uvw axis for the scurve planner.
It should work with look ahead.

git updated

Hi all,

Today was a lucky day. We managed to fix acceleration spikes at the 4-clothoid-spline junctions.
The problem was solved by using a new gauss legendre and minor function updates to the clothoid3d lib.
The iteration for gaussian legendre is now set for a 16 for loop.
We can expand to 32 or 64 loops to even increase accuracy.

Now i changed the back color off halscope to plot a white background as this is nicer for websites and documents
to show pictures.

Below are some halscope results, where motion is passing trough 3d-clothoids. The acceleration spikes on
joint 0 & 1 are gone. This tells us the interpolation off the clothoid is now absolute. And without any numerical errors.
So now the clothoid interpolates just as a line or arc.

This was really a bad situation. Wich is now solved.

 
 
 

Git is updated.

/me feeds grotius and co more cookies and pizza

nice work

@IHaveNoFish,

Thanks!

Today i started investegating something new.  experimental code

The question is, can we use a clothoid curve for motion, just like the scurve is a curve used for motion?
The idea came up a while ago. Scurve motion uses derivates, the clothoid also uses derivates.

Somehow i used the clothoid curve for the velocity profile.
The theta start of the clothoid curve is a vector, this can be transformed to acceleration start and visa versa.

1. The x axis of the clothoid is then time.
2.  The y axis of the clothoid is then velocity.

During the curve's velocity profile, we printed the acceleration values along the curve. What i didn't know is,
the acceleration profile is not a straight line as like the trapezium or scurve motion profile.

Here is a plot of acceleration stage, mention the acceleration line. It's curved. This involves less Jerk?