Fwd: Similarity index for pairs of features with the highest overlap?

celati Laurent <[email protected]> Tue, 4 Nov 2025 13:19:00 +0100
Newsgroups gmane.comp.gis.postgis
Message-ID <CAHByMH1uxXSfyB7v_F4NkX43_339g9vOBrLu5yg2jRW+c2+nrA@mail.gmail.com>
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Dear all,

A few weeks ago, I posted an initial message:

https://lists.osgeo.org/pipermail/postgis-users/2025-October/046930.html

But after further thought, I'm creating a new one to provide additional
inputs/clarification.
As a reminder, my goal is to find a method/tool to compare the
similarity/dissimilarity between two polygonal vector layers consisting of
multiple features. In my use case, this comparison concerns a polygonal
layer resulting from photo-interpretation work (modeling of large
physiognomic units/habitats). I reattached a screenshot; this layer appears
in blue.
The other polygonal vector layer is a polygonal vector layer resulting from
a segmentation process (using an OTB tool available via QGIS). (It is
yellow in the attached screenshot):

[image: SS_seg_PI_identifiants.png]


In my previous post, I mentioned a possible way for one similarity
indicator: "for each photo-interpreted feature/polygon, calculate the
percentage (%) of area covered by the feature from the segmentation layer
that has the highest overlap."
To be more specific, in the example in the screenshot, it could be:
"for feature number 11 (blue) from the photo-interpretation layer, I would
like to know the proportion of the area covered by the feature from the
segmentation layer that has the highest overlap with this feature 11 (in
this specific case, it is probably feature 42 in yellow)."
This could be: area of feature 42 overlapping with feature 11 / total area
of feature 11.

But after further thought, I think this is insufficient. That i need to go
a little further.

Regarding these methods for quantifying the accuracy of a
segmentation/fidelity to photo-interpretation. Regarding the level/degree
of similarity, I think i should integrate a "bi-similarity" aspect/logic:
using an approach based *on pairs* of the most overlapping polygons:

*step 1*
- For each polygon feature in the input layer, retrieve the ID and geometry
of the polygon from the segmentation layer that has the highest overlap.
Calculate the overlap rate.
(e.g., surface area of feature 42 overlapping with feature 11 / *total
surface area of feature 11*).

*Step 2:*
- Once this first indicator is calculated, perform the calculation for the
same pair/sequence of polygons calculated in step 1: perform the same
calculation but this time on the total surface area of feature 42 (polygon
from the segmentation).
(e.g., surface area of feature 42 overlapping with feature 11 /* total
surface area of feature 42*).

*Step 1/2 variant:*
I was thinking that a one-step variant/synthesis/summary of steps 1 and 2
could be:
- (e.g., surface area of feature 42 overlapping with feature 11 / *total
surface area constituted by feature 11 AND feature 42).*?

* Step 3:*
The idea would be, based on steps 1/2, to have a kind of overall score at
the layer level. This could be a kind of average/median for all pairs of
polygons? Or another metric?

I imagine that this tool does not exist/is not available in QGIS. Although
I discovered this plugin:
https://plugins.qgis.org/plugins/similarity_plugin/#plugin-about
https://github.com/panickspa/SimilarityPlugin

Interesting plugin. But in my humble opinion, it only covers part of my
need.
To be complete, I did some research on the internet. I also found a
potentially interesting indicator:
https://postgis.net/docs/ST_HausdorffDistance.html
https://en.wikipedia.org/wiki/Hausdorff_distance

Is there a possible way, either through QGIS or PostGIS?
Thanks so much.

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<div dir=3D"ltr"><div class=3D"gmail_quote gmail_quote_container"><div dir=
=3D"ltr"><div><div>Dear all,=C2=A0</div><div><br></div><div>A few weeks ago=
, I posted an initial message:</div><a href=3D"https://lists.osgeo.org/pipe=
rmail/postgis-users/2025-October/046930.html"><br>https://lists.osgeo.org/p=
ipermail/postgis-users/2025-October/046930.html</a><br><br>But after furthe=
r thought, I&#39;m creating a new one to provide additional inputs/clarific=
ation.<br>As a reminder, my goal is to find a method/tool to compare the si=
milarity/dissimilarity between two polygonal vector layers consisting of mu=
ltiple features. In my use case, this comparison concerns a polygonal layer=
 resulting from photo-interpretation work (modeling of large physiognomic u=
nits/habitats). I reattached a screenshot; this layer appears in blue.<br>T=
he other polygonal vector layer is a polygonal vector layer resulting from =
a segmentation process (using an OTB tool available via QGIS). (It is yello=
w in the attached screenshot):<br><br><img src=3D"cid:ii_mhkjbjxq1" alt=3D"=
SS_seg_PI_identifiants.png" width=3D"578" height=3D"278"><br><br><br>In my =
previous post, I mentioned a possible way for one similarity indicator: &qu=
ot;for each photo-interpreted feature/polygon, calculate the percentage (%)=
 of area covered by the feature from the segmentation layer that has the hi=
ghest overlap.&quot;<br>To be more specific, in the example in the screensh=
ot, it could be:<br>&quot;for feature number 11 (blue) from the photo-inter=
pretation layer, I would like to know the proportion of the area covered by=
 the feature from the segmentation layer that has the highest overlap with =
this feature 11 (in this specific case, it is probably feature 42 in yellow=
).&quot;<br>This could be: area of feature 42 overlapping with feature 11 /=
 total area of feature 11.<br><br>But after further thought, I think this i=
s insufficient. That i need to go a little further.<br><br>Regarding these =
methods for quantifying the accuracy of a segmentation/fidelity to photo-in=
terpretation. Regarding the level/degree of similarity, I think i should in=
tegrate a &quot;bi-similarity&quot; aspect/logic: using an approach based <=
b>on pairs</b> of the most overlapping polygons:<br><br><b>step 1</b><br>- =
For each polygon feature in the input layer, retrieve the ID and geometry o=
f the polygon from the segmentation layer that has the highest overlap. Cal=
culate the overlap rate.<br>(e.g., surface area of feature 42 overlapping w=
ith feature 11 / <b>total surface area of feature 11</b>).<br><b><br>Step 2=
:</b><br>- Once this first indicator is calculated, perform the calculation=
 for the same pair/sequence of polygons calculated in step 1: perform the s=
ame calculation but this time on the total surface area of feature 42 (poly=
gon from the segmentation).<br>(e.g., surface area of feature 42 overlappin=
g with feature 11 /<b> total surface area of feature 42</b>).<br><br><b>Ste=
p 1/2 variant:</b><br>I was thinking that a one-step variant/synthesis/summ=
ary of steps 1 and 2 could be:<br>- (e.g., surface area of feature 42 overl=
apping with feature 11 / <b>total surface area constituted by feature 11 AN=
D feature 42).</b>?<br><br><b>=C2=A0Step 3:</b><br>The idea would be, based=
 on steps 1/2, to have a kind of overall score at the layer level. This cou=
ld be a kind of average/median for all pairs of polygons? Or another metric=
?<br><br>I imagine that this tool does not exist/is not available in QGIS. =
Although I discovered this plugin:<br><a href=3D"https://plugins.qgis.org/p=
lugins/similarity_plugin/#plugin-about" target=3D"_blank">https://plugins.q=
gis.org/plugins/similarity_plugin/#plugin-about</a><br><a href=3D"https://g=
ithub.com/panickspa/SimilarityPlugin" target=3D"_blank">https://github.com/=
panickspa/SimilarityPlugin</a><br><br>Interesting plugin. But in my humble =
opinion, it only covers part of my need.<br>To be complete, I did some rese=
arch on the internet. I also found a potentially interesting indicator:<br>=
<a href=3D"https://postgis.net/docs/ST_HausdorffDistance.html" target=3D"_b=
lank">https://postgis.net/docs/ST_HausdorffDistance.html</a><br><a href=3D"=
https://en.wikipedia.org/wiki/Hausdorff_distance" target=3D"_blank">https:/=
/en.wikipedia.org/wiki/Hausdorff_distance</a><br><br>Is there a possible wa=
y, either through QGIS or PostGIS?<br></div>Thanks so much.</div>
</div></div>

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