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Re: Fit 3D Line to data

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From Hans-Bernhard Bröker <HBBroeker@t-online.de>
Newsgroups comp.graphics.apps.gnuplot
Subject Re: Fit 3D Line to data
Date Wed, 25 Feb 2015 19:25:40 +0100
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Am 25.02.2015 um 14:34 schrieb Karl:
> Am 24.02.2015 um 20:16 schrieb Hans-Bernhard Bröker:
>> Am 23.02.2015 um 07:27 schrieb Erik Zweigle:
>>> I am trying to fit a line to the 4 data points shown below.

>> That's not a well-defined task, I'm afraid.  Fitting a line to a dataset
>> is reasonably well-defined in 2D, but not in 3D.

> Hm. I´d say you define the line with parameters x0,y0,z0 and two angles,
> derive the minimum distance d(x,y,z) of a point xyz from that line, and
> minimise that.

While that's _one_ viable interpretation of the stated problem, it's far 
from being the only one.  Which is precisely what makes the task  not 
well-defined.

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Thread

Fit 3D Line to data Erik Zweigle <erikzweigle@gmail.com> - 2015-02-22 22:27 -0800
  Re: Fit 3D Line to data Karl <mail.kfr@gmx.net> - 2015-02-24 10:36 +0100
  Re: Fit 3D Line to data Hans-Bernhard Bröker <HBBroeker@t-online.de> - 2015-02-24 20:16 +0100
    Re: Fit 3D Line to data Karl <mail.kfr@gmx.net> - 2015-02-25 14:34 +0100
      Re: Fit 3D Line to data Hans-Bernhard Bröker <HBBroeker@t-online.de> - 2015-02-25 19:25 +0100
      Re: Fit 3D Line to data Axel Berger <Axel_Berger@B.Maus.De> - 2015-02-28 03:02 +0100
        Re: Fit 3D Line to data Erik Zweigle <erikzweigle@gmail.com> - 2015-02-28 12:47 -0800
        Re: Fit 3D Line to data Karl <mail.kfr@gmx.net> - 2015-03-01 06:46 +0100
  Re: Fit 3D Line to data Gavin Buxton <gavinbuxton@gmail.com> - 2015-02-25 06:28 -0800
    Re: Fit 3D Line to data Hans-Bernhard Bröker <HBBroeker@t-online.de> - 2015-02-25 19:38 +0100

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