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[cgal-discuss] Re: Determine if a set of Point_3 is linear


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  • From: edward <>
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  • Subject: [cgal-discuss] Re: Determine if a set of Point_3 is linear
  • Date: Wed, 4 Apr 2012 19:41:02 -0700 (PDT)

You can use linear_least_squares_fitting_3 (
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Principal_component_analysis_ref/Function_linear_least_squares_fitting_3.html#Cross_link_anchor_1811
linear_least_squares_fitting documentation ) as returned value of this
function respsents fitting quality of given point set.

Another way, in my opinion, you can estimate line utilizing
linear_least_squares_fitting_3, and then calculating squared distance
between each point and the estiamted line, and obtaining sigma of this
estmation. A lower sigma means best fitting, i.e, this set of point is
likely to be linear.



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