[Bf-committers] An easy to use damped spline

joe joeedh at gmail.com
Sun Dec 28 21:28:31 CET 2014 

Do you have a link to a paper?
On Sep 28, 2014 10:45 AM, "Fred" <f.harthoorn at ziggo.nl> wrote:

> Hi Campbell Barton,
>
> The amount of interpolation dots is 2^i, at the start of the demo  i =
> 4    (16 dots)
> if you change i = 7 (the limit in the demo) than there are 128
> interpolation dots.
>
> if I had set the limit in the demo to 10 then 1024 interpolation dots
> was possible.
>
> If the spline is used in a 3 dimensional space,
> to compute an interpolated dot position takes:  dim * 10  clock cycles =
> 30 clock cycles.
> I hope that it is fast enough.
>
> If you like to have a curve to the last plotted dot you have to put two
> dots on each other at the end.
> You will see that it is symmetrical again.
>
> Please change the number to 7 in the demo and you see a curved line in
> stead of dots.
>
> Much more is possible with this spline because the first, second and
> third derivative (parameterized ) of the curve
> is available in real time.
>
> I think that much more can be invented with this spline technique.
> I think that with some research tangent handles can be constructed as
> well (if you like them?).
> What I did in the demo was the most simple way of using it.
>
> The essence is: a 3th degree curve in two (x,y) or more directions is
> differentiated three times, and then again integrated 3 times.
> With floating point this is impossible , because it is not exact, the
> curve runs away.
> But with integer computing it is exact and the spline exact a 3th degree
> curve.
>
> It can also be used in ten or more directions, but more then 3
> dimensions (x,y,z) is not  practical.
>
> Fred.
> --------------------------------------
> Fred schreef op 28-9-2014 om 18:30:
> > That is in the demo the case, because I programmed that  the first plot
> > point is actually two points.
> > the spline uses 4 points p0, p1, p2, p3  and the interpolation is
> > between p1 and p2.
> >
> > Campbell Barton schreef op 28-9-2014 om 17:42:
> >> Checked the test application, and not sure if this is intended but a
> >> simple triangle has uneven distribution.
> >>
> >> see: http://www.graphicall.org/ftp/ideasman42/fred_curve.png
> >>
> >> On Mon, Sep 29, 2014 at 1:32 AM, Dan McGrath <danmcgrath.ca at gmail.com>
> wrote:
> >>> Cool, got them. Will take a look later. o/
> >>>
> >>> Dan
> >>>
> >>> On Sun, Sep 28, 2014 at 11:28 AM, Fred <f.harthoorn at ziggo.nl> wrote:
> >>>
> >>>> Ok, It is uploaded to the directory incoming
> >>>>
> >>>> Dan schreef op 28-9-2014 om 17:15:
> >>>>> You could always upload it to our anonymous ftp via
> download.blender.org
> >>>>> (or ftp.blender.org) and put it into the incoming directory (use
> passive
> >>>>> mode). From there was can fetch the files via
> >>>>> http://download.blender.org/ftp/incoming/
> >>>>>
> >>>>> Dan
> >>>>>
> >>>>> On Sun, Sep 28, 2014 at 11:05 AM, Fred <f.harthoorn at ziggo.nl> wrote:
> >>>>>
> >>>>>> Campbell Barton
> >>>>>>
> >>>>>> I have tried to send it but it is rejected. So send me an addres for
> >>>>>> upload.
> >>>>>>
> >>>>>> fred
> >>>>>>
> >>>>>>
> >>>>>> Campbell Barton schreef op 28-9-2014 om 16:51:
> >>>>>>> Could the project files be posted to a public URL?, Id like to be
> able
> >>>>>>> to look into this. but probably wont have time over the coming
> weeks.
> >>>>>>>
> >>>>>>> The main source file compiles for me with minor edits on
> >>>>>>> Linux/FreePascal, but the demo relies on `Window` unit, which I
> assume
> >>>>>>> is provided by delphi/windows.
> >>>>>>>
> >>>>>>> On Mon, Sep 29, 2014 at 12:36 AM, Dan McGrath <
> danmcgrath.ca at gmail.com
> >>>>>> wrote:
> >>>>>>>> Hey,
> >>>>>>>>
> >>>>>>>> Just save out the delphi project and zip it up and email it to me
> >>>> direct
> >>>>>>>> via email I guess (the mailing list wouldn't allow such a large
> >>>>>>>> attachement). I was attempting to compile it on linux, so the
> compiled
> >>>>>>>> dll's wouldn't be of much use to me unfortunately.
> >>>>>>>>
> >>>>>>>> Thanks!
> >>>>>>>>
> >>>>>>>>
> >>>>>>>> Dan
> >>>>>>>>
> >>>>>>>> On Sun, Sep 28, 2014 at 10:06 AM, Fred <f.harthoorn at ziggo.nl>
> wrote:
> >>>>>>>>
> >>>>>>>>> Hi Dan,
> >>>>>>>>>
> >>>>>>>>> Of course I can  send you the project.
> >>>>>>>>> I have made two versions:
> >>>>>>>>> 1) The spline is embedded in de demo:
> >>>>>>>>> 2) The spline is an external .dll, de demo calls PSpline.dll
> >>>>>>>>>
> >>>>>>>>> Which one do you prefer?
> >>>>>>>>>
> >>>>>>>>> Fred.
> >>>>>>>>> ----------------
> >>>>>>>>>
> >>>>>>>>>
> >>>>>>>>>
> >>>>>>>>> Dan McGrath schreef op 28-9-2014 om 15:42:
> >>>>>>>>>> So is/was Turbo Pascal (limited in features; eg: objects but no
> >>>>>> classes)
> >>>>>>>>>> and FreePascal+Lazarus (supports almost everything Delphi does
> >>>> still?
> >>>>>>>>>> http://wiki.freepascal.org/Lazarus_For_Delphi_Users).
> >>>>>>>>>>
> >>>>>>>>>> Anyway, just thought it was neat to see code in pascal (an
> elegant
> >>>>>>>>>> language, imho). Curious though, why not just give the whole
> delphi
> >>>>>>>>> project
> >>>>>>>>>> and resource files so your forms can be built etc.? The code
> seems
> >>>> to
> >>>>>>>>>> compile with some modifications here, but without the {$R *.DFM}
> >>>>>> (*.lfm
> >>>>>>>>> in
> >>>>>>>>>> fp), one would have to manually rebuild the form :(
> >>>>>>>>>>
> >>>>>>>>>>
> >>>>>>>>>>
> >>>>>>>>>> On Sun, Sep 28, 2014 at 8:55 AM, Fred <f.harthoorn at ziggo.nl>
> wrote:
> >>>>>>>>>>
> >>>>>>>>>>> It's true, but Delphi is object oriented.
> >>>>>>>>>>>
> >>>>>>>>>>> Dan McGrath schreef op 28-9-2014 om 14:53:
> >>>>>>>>>>>> Standard Pascal, Turbo Pascal, Freepascal, Delphi; same
> language,
> >>>>>>>>>>> different
> >>>>>>>>>>>> dialect :)
> >>>>>>>>>>>>
> >>>>>>>>>>>> On Sun, Sep 28, 2014 at 8:43 AM, Fred <f.harthoorn at ziggo.nl>
> >>>> wrote:
> >>>>>>>>>>>>> Actually it is Delphi
> >>>>>>>>>>>>>
> >>>>>>>>>>>>>
> >>>>>>>>>>>>> Dan McGrath schreef op 28-9-2014 om 14:35:
> >>>>>>>>>>>>>> Pascal, with inline assembler to boot! \o/ :)
> >>>>>>>>>>>>>>
> >>>>>>>>>>>>>> On Sun, Sep 28, 2014 at 6:46 AM, Ton Roosendaal <
> >>>> ton at blender.org>
> >>>>>>>>>>> wrote:
> >>>>>>>>>>>>>>> Hi,
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> Fred told me he's not interested in getting involved, or
> >>>> setting
> >>>>>> up
> >>>>>>>>> a
> >>>>>>>>>>>>>>> project for his work.
> >>>>>>>>>>>>>>> He's retired now and just thought we might be interested
> in a
> >>>>>>>>> research
> >>>>>>>>>>>>>>> topic he did.
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> I've copied files he sent to me here;
> >>>>>>>>>>>>>>> http://download.blender.org/ftp/ton/
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> It's a Dutch pdf and two pascal files.
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> -Ton-
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> --------------------------------------------------------
> >>>>>>>>>>>>>>> Ton Roosendaal  -  ton at blender.org   -   www.blender.org
> >>>>>>>>>>>>>>> Chairman Blender Foundation - Producer Blender Institute
> >>>>>>>>>>>>>>> Entrepotdok 57A  -  1018AD Amsterdam  -  The Netherlands
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> On 28 Sep, 2014, at 9:28, Aditia A. Pratama wrote:
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>> HI Fred,
> >>>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>> Can you record a screencast/video demo to show how it
> works?
> >>>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>> Regards,
> >>>>>>>>>>>>>>>> On Sep 28, 2014 2:14 PM, "Fred" <f.harthoorn at ziggo.nl>
> wrote:
> >>>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>>> I forgot to say, I have a two dimensional demo but it is
> >>>>>> working
> >>>>>>>>> on
> >>>>>>>>>>> a
> >>>>>>>>>>>>>>>>> windows computer.
> >>>>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>>> Jacob Merrill schreef op 28-9-2014 om 02:07:
> >>>>>>>>>>>>>>>>>> would this make it so you can record F-curves over time
> >>>>>> better?
> >>>>>>>>>>>>>>>>>> right now recording in the engine gets slower the
> longer it
> >>>>>> runs,
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