The best approximation method to recover original polygon outline before rasterization procedure












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I have a polygon, originally created as a Bézier Curve (black outline on the picture), and then saved as a polygon with enough points to call it smooth (at this scale). Then this polygon was rasterized (binarized), the borders of this polygon were converted to vector format (the red outline on the picture).



I want to restore the original line from rasterized using the approximation method.



What is the best way to do this?



By “best method” I mean a method that will return the same original boundary (black outline) or the closest result to the original line.



____________enter image description here










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  • 1




    $begingroup$
    Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
    $endgroup$
    – Rahul
    Jan 23 at 6:08










  • $begingroup$
    You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
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    – davidlowryduda
    Jan 28 at 17:29
















0












$begingroup$


I have a polygon, originally created as a Bézier Curve (black outline on the picture), and then saved as a polygon with enough points to call it smooth (at this scale). Then this polygon was rasterized (binarized), the borders of this polygon were converted to vector format (the red outline on the picture).



I want to restore the original line from rasterized using the approximation method.



What is the best way to do this?



By “best method” I mean a method that will return the same original boundary (black outline) or the closest result to the original line.



____________enter image description here










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
    $endgroup$
    – Rahul
    Jan 23 at 6:08










  • $begingroup$
    You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
    $endgroup$
    – davidlowryduda
    Jan 28 at 17:29














0












0








0





$begingroup$


I have a polygon, originally created as a Bézier Curve (black outline on the picture), and then saved as a polygon with enough points to call it smooth (at this scale). Then this polygon was rasterized (binarized), the borders of this polygon were converted to vector format (the red outline on the picture).



I want to restore the original line from rasterized using the approximation method.



What is the best way to do this?



By “best method” I mean a method that will return the same original boundary (black outline) or the closest result to the original line.



____________enter image description here










share|cite|improve this question











$endgroup$




I have a polygon, originally created as a Bézier Curve (black outline on the picture), and then saved as a polygon with enough points to call it smooth (at this scale). Then this polygon was rasterized (binarized), the borders of this polygon were converted to vector format (the red outline on the picture).



I want to restore the original line from rasterized using the approximation method.



What is the best way to do this?



By “best method” I mean a method that will return the same original boundary (black outline) or the closest result to the original line.



____________enter image description here







approximation polygons






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 23 at 6:24







Mr. Che

















asked Jan 23 at 6:03









Mr. CheMr. Che

1186




1186








  • 1




    $begingroup$
    Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
    $endgroup$
    – Rahul
    Jan 23 at 6:08










  • $begingroup$
    You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
    $endgroup$
    – davidlowryduda
    Jan 28 at 17:29














  • 1




    $begingroup$
    Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
    $endgroup$
    – Rahul
    Jan 23 at 6:08










  • $begingroup$
    You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
    $endgroup$
    – davidlowryduda
    Jan 28 at 17:29








1




1




$begingroup$
Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
$endgroup$
– Rahul
Jan 23 at 6:08




$begingroup$
Take a look at Lempitsky, "Surface Extraction from Binary Volumes with Higher-Order Smoothness" (CVPR 2010).
$endgroup$
– Rahul
Jan 23 at 6:08












$begingroup$
You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
$endgroup$
– davidlowryduda
Jan 28 at 17:29




$begingroup$
You have flagged to have this question moved to gis.stackexchange.com. However, it is not currently a good fit for gis.stackexchange.com. As there are no votes or answers here, an appropriate course of action for you would be to delete this question and just ask a good question on gis.stackexchange.com. Good luck!
$endgroup$
– davidlowryduda
Jan 28 at 17:29










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