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Glossary entry

English term or phrase:

non-angle preserving transofrmation

French translation:

transformation qui ne conserve pas les angles

Added to glossary by Catherine GEFFRAY
Aug 3, 2020 10:46
3 yrs ago
15 viewers *
English term

non-angle preserving transofrmation

English to French Tech/Engineering Patents imaging system
Image processing apparatus wherein the processor is arranged for obtaining a non-angle preserving transformation between the medical volume and the medical data.
Proposed translations (French)
4 +1 transformation qui ne conserve pas les angles
4 un angle (.......), qui est non-invariant sous la transformation
4 transformation qui ne conserve pas les angles
3 transformation/cartographie non conforme
3 -1 Transformation qui conserve un non-angle
References
Pour info

Discussion

Daryo Aug 3, 2020:
Of course it's angles (between various points of a picture) that are "not being preserved" when the picture is being "transformed".

Only that would make sense in image processing - you might well find occurrences of "non-angle" (in the sense of "not an angle") ***elsewhere*** but NOT in image processing. Anyway preserving "a non-angle" (= an angle that "is not there") would be rather tricky - how would you "preserve" something that is not even there in the first place?

if you look at the patent https://patentimages.storage.googleapis.com/99/fc/c8/abbc33f... you can see that there is an image that gets represented "en perspective" so transforming a picture viewed frontally into a picture shown viewed sideways (in a "perspective view") is bound to change the angles between the points of the picture.
Clem Deviers Aug 3, 2020:
L'élément 'non-' ne se rapporte-t-il pas plutôt à l'ensemble 'angle preserving' dans le contexte de ce brevet ? => transformation ne préservant pas les angles ?

Proposed translations

+1
11 hrs
Selected

transformation qui ne conserve pas les angles

La conservation des angles ou la conservation des distances sont des propriétés assez classiques des transformations.
Peer comment(s):
agree Daryo : "transformations ne conservant pas les angles" - plus court? https://fr.wikipedia.org/wiki/Transformation_géométrique
47 mins
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4 KudoZ points awarded for this answer.
52 mins
English term (edited): non-angle preserving transformation

transformation/cartographie non conforme

https://mathworld.wolfram.com/Angle-PreservingTransformation...

Voir : conformal mapping pour "angle-preserving transformation".

https://mathworld.wolfram.com/ConformalMapping.html

https://context.reverso.net/traduction/anglais-francais/conf...

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Note added at 1 hr (2020-08-03 11:47:44 GMT)
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Veuillez ne pas tenir compte du terme "cartographie" ici.
Transformation non conforme.

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Note added at 1 hr (2020-08-03 11:52:17 GMT)
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Définition de "transformation conforme" (le contraire) :
https://fr.wikipedia.org/wiki/Transformation_conforme

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Note added at 1 hr (2020-08-03 11:55:44 GMT)
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10 mar 2009 - **Transformation non conforme.** Mais même en ne regardant que les applications continues, souvent on ne reconnait pas du tout le dessin de ...
https://images.math.cnrs.fr/Applications-conformes.html



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Note added at 1 hr (2020-08-03 11:56:28 GMT)
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On trouve le contraire de "conformal mapping" : non-conformal mapping.

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Note added at 1 hr (2020-08-03 11:58:32 GMT)
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**Transformation conforme** **Transformation non conforme** Figure 8 . 4 - Après une transformation conforme , de petits cercles ( infinitésimaux ) peuvent être ...
https://books.google.it/books?id=E1k-SRvzrM8C&pg=PA134&lpg=P...
Peer comment(s):
neutral Daryo : "Transformation non conforme" // seul problème: il n'est pas sûr que la "non-conformité" est toujours une question de "non-conservation" des angles - il y a aussi les distances et d'autres éléments qui peuvent être conservés ou non.
1 hr
neutral Francois Boye : il faut dire 'une transformation non conforme de l'angle entre (...)'
1 day 10 hrs
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-1
35 mins

Transformation qui conserve un non-angle

Une proposition par déduction:

"Une transformation qui conserve les angles est dite conforme. Anglais: Conformal mapping: angle-preserving transformation."
http://villemin.gerard.free.fr/Referenc/Vocabula/GlosT/Trans...

"Conservation des angles par une similitude"
http://www.les-mathematiques.net/phorum/read.php?8,732150,73...

"On appelle transformation géométrique toute bijection d'une partie d'un ensemble géométrique dans lui-même.
On peut tenter une ou des classifications de ces transformations.
D'abord selon la dimension de l'ensemble géométrique ; on distinguera donc principalement les transformations planes et les transformations dans l'espace.
On peut aussi classer les transformations d'après leurs éléments conservés :
Transformation Éléments conservés Exemples
Déplacements Distances et angles orientés Translations et rotations
Isométries Distances et angles"
https://fr.wikipedia.org/wiki/Transformation_géométrique

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Note added at 46 mins (2020-08-03 11:32:26 GMT)
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"l'angle de contact n'est d'aucune grandeur, ou un non-angle"
http://www.numdam.org/article/RHM_2002__8_2_207_0.pdf

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Note added at 47 mins (2020-08-03 11:33:44 GMT)
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"dans tous les cas il s'agit d'un non-angle"
http://numerisation.univ-irem.fr/WH/IWH93017/IWH93017.pdf

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Note added at 2 hrs (2020-08-03 13:16:16 GMT)
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"The MLC method was compared against non-angle and the standard Lambertian correction for both lower angles (

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Note added at 2 hrs (2020-08-03 13:17:37 GMT)
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"The MLC method was compared against non-angle and the standard Lambertian correction for both lower angles (

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Note added at 2 hrs (2020-08-03 13:18:31 GMT)
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4918590/


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Note added at 2 hrs (2020-08-03 13:19:54 GMT)
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https://stackoverflow.com/questions/18710545/maintaining-rot...

"I am also unsure why you believe there are "angle-preserving" and "non-angle-preserving" normalizations: if the quaternion is non-unit, the real component does not represent the angle of a rotation."
Peer comment(s):
disagree Daryo : relevant references, ***except the last one*** // BUT your FR version is nonsense - resulting from the wrong parsing of the EN term - the "non" relates to "preserving" [the angle], NOT to "the angle" on its own / 101% sure have no need to "believe"
1 hr
"I am also unsure why you believe there are "angle-preserving" and "non-angle-preserving" normalizations: if the quaternion is non-unit, the real component does not represent the angle of a rotation." https://stackoverflow.com/questions/18710545/maintaini
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5 hrs

un angle (.......), qui est non-invariant sous la transformation

The transformation is the image processor

The object is the angle between the medical volume and the medical data.

According to the theory of invariant transformation, the transformation causes invariance if the object is invariant; otherwise, the transformation causes non-invariance.


In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged, after operations or transformations of a certain type are applied to the objects.[1][2][3] The particular class of objects and type of transformations are usually indicated by the context in which the term is used. For example, the area of a triangle is an invariant with respect to isometries of the Euclidean plane. The phrases "invariant under" and "invariant to" a transformation are both used.[1] More generally, an invariant with respect to an equivalence relation is a property that is constant on each equivalence class.[4]

Invariants are used in diverse areas of mathematics such as geometry, topology, algebra and discrete mathematics. Some important classes of transformations are defined by an invariant they leave unchanged. For example, conformal maps are defined as transformations of the plane that preserve angles. The discovery of invariants is an important step in the process of classifying mathematical objects.[3][4]

https://en.wikipedia.org/wiki/Invariant_(mathematics)
Peer comment(s):
neutral Daryo : relevant refs, but you twisted the description of a transformation as being "non angle preserving" into angles being this way or that way - no need for that // the ST (can be found) is all about "transformations" of images.
3 hrs
I used the concept of invariance as defined above.
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11 hrs
English term (edited): non-angle preserving transformation

transformation qui ne conserve pas les angles

C'est plutôt ça d'après moi.
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Reference comments

30 mins
Reference:

Pour info

Cette expression n''apparaît que dans 1 brevet, donc la traduction ne pourra pas être courante.

Optionally, the processor is arranged for (i) obtaining a non-angle preserving transformation between the medical volume and the medical data, and (ii) using ...
https://patents.google.com/patent/US20150015570
Peer comments on this reference comment:
neutral Daryo : the concept of "non-angle preserving transformation" exists (/has been existing for a long time!) also outside of patents - it's not this patent that invented it or created it!
1 hr
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