https://www.proz.com/kudoz/french-to-english/mathematics-statistics/6581185-treillis-de-points.html&phpv_redirected=1
Oct 26, 2018 12:43
5 yrs ago
French term

treillis de points

French to English Science Mathematics & Statistics
Patent about MRI processing (see previous question)

"Un filtre de reconnaissance de formes tubulaires peut être réalisé à partir d'un algorithme mathématique permettant de reconnaître les formes tubulaires que forment les bronches.
Un tel filtre peut être, par exemple, un filtre morphologique.
Un filtre morphologique se caractérise notamment par une transformation croissante et idempotente sur un treillis de points."

This is indeed about MRI images of the lungs and bronchial tubes.

Is this simply "points matrix"?
Proposed translations (English)
4 -1 lattice
3 Lattice of nods

Discussion

chris collister Oct 28, 2018:
Lattice vs. grid I wasn't sure about the distinction myself, but see https://blogs.ubc.ca/advancedgis/schedule/slides/spatial-ana...
"The lattice interpretation views each mesh point as a surface value at the center of the cell whereas the grid interpretation considers each cell as a square area with a constant attribute value." So it looks like it's a lattice, not a grid!
Francois Boye Oct 27, 2018:
un treillis de points suppose qu'il puisse y avoir un treillis sans points, ce qui est une contradiction. Pourquoi ? Parce qu'un treillis est un ensemble de points dans l'espace.
Daryo Oct 27, 2018:
it's related to this https://en.wikipedia.org/wiki/Polygon_mesh

it's a similar method - a continuous shape is sliced in number of cubes, each cube is represented by its centre and a characteristic value for some variable here the MRI reading for that "slice"

http://mriquestions.com/k-space-grid.html

https://demonstrations.wolfram.com/RotatingALatticeOfPoints/

are relevant references
.
Mpoma (asker) Oct 26, 2018:
Convinced! thanks

Proposed translations

-1
11 hrs
Selected

lattice

https://en.wikipedia.org/wiki/Lattice_(order)

https://fr.wikipedia.org/wiki/Treillis_(ensemble_ordonné)

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Note added at 1 day 12 hrs (2018-10-28 01:09:08 GMT)
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According to both attachments, any lattice is a lattice of (ordered) points
Peer comment(s):

neutral Nikki Scott-Despaigne : "Lattice of points", cf. my discussion post from yesterday. ;-)
15 hrs
the concept of lattice includes points that are ordered in a specific way. Did you read the definition?
disagree Daryo : these refs are about a wrong kind of "treillis" => prove NOTHING!
15 hrs
you cannot prove it!!!
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3 KudoZ points awarded for this answer. Comment: "Thanks"
4 days