superposables à une homothétie près

English translation: superimposable up to a homothety

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
French term or phrase:superposables à une homothétie près
English translation:superimposable up to a homothety
Entered by: Rebecca Elliott

12:50 Jun 17, 2008
French to English translations [PRO]
Tech/Engineering - Patents
French term or phrase: superposables à une homothétie près
This is from a patent relating to a testing method and apparatus for tubular axle shafts. I'm having trouble with the last part of this paragraph.

On notera que l’epaisseur radiale (c’est à dire suivant une direction perpendiculaire à l’axe longitudinal XX) n’est pas forcément constante. En d’autres termes les profils des rayons extérieur R1 et intérieur R2 ne sont pas forcément *** superposables à une homothétie près ***.

Thank you
Rebecca Elliott
United Kingdom
Local time: 04:20
superimposable up to a homothety
Explanation:
I am not sure what the problem is here. I admit that the word "homothety" has a somewhat bizarre and ungainly ring to it in English (the more correctly formed "homothecy" is even rarer), but this is a patent, for crying out loud, not a novel!

In any case, anyone with a modicum of mathematical sophistication would be able to make sense of my suggestion. (I might add that the original author is using a terminological sledgehammer to crack a walnut, but that is not the translator's problem.)
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Richard Benham
France
Local time: 05:20
Grading comment
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3 KudoZ points were awarded for this answer



Summary of answers provided
4superimposable up to a homothety
Richard Benham
2refs
liz askew


Discussion entries: 2





  

Answers


29 mins   confidence: Answerer confidence 2/5Answerer confidence 2/5
refs


Explanation:
A start:-




L'algorithme de RSTA
Principe

La notion de base est celle du RSH (Random sampling histogram), c'est à dire l'histogramme d'un certain nombre de pixels tirés aléatoirement et uniformément sur l'image originale.

http://216.239.59.104/search?q=cache:hLPR54N6hNIJ:perso.tele...


On se base sur la constatation suivante : le RSH et l'histogramme de l'image complète ont a la même allure, à une homothétie près (voir la figure). Et cette homothétie fait disparaître un certain nombre de détails, certain étant ici fonction du facteur de l'homothétie, donc du nombre de pixels tirés pour calculer le RSH.

L'idée va donc être ici de partir avec des seuils grossiers (Coarse Threshold, ou CT), de faire "pousser" le RSH sous ces seuils en tirant de nouveaux échantillons, et de mettre à jour les CT au fur et à mesure en fonction de ce RSH. Cela peut paraître simple, mais ce n'est pas trivial à mettre en oeuvre.


PII: 0378-3758(95)00118-2
shape of a random sample in , and several related notions of multidimensional. extremes. ..... In particular, if all the isobars are homothetics of the same ...
linkinghub.elsevier.com/retrieve/pii/0378375895001182 - Similar pages

PII: 0378-3758(95)00118-2
shape of a random sample in , and several related notions of multidimensional. extremes. ..... In particular, if all the isobars are homothetics of the same ...
linkinghub.elsevier.com/retrieve/pii/0378375895001182 - Similar pages


deforming towards a dilated version of the segmented brain. In Refs. 14 and 15, a
heuristic approach is used after each deformation step to homogenize the distances
between the points of the 3D surface, such that a near homothetic mapping (i.e.
an isometric mapping up to a scaling factor) between the 3D surface and the plane
can be obtained.


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Note added at 31 mins (2008-06-17 13:21:39 GMT)
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Screw made of biodegradable material for bone surgery purposes ...
an elongate channel coaxial with respect to the longitudinal axis and ... by homothetic transformation about the trace line of the longitudinal axis. ...
www.patentstorm.us/patents/5695497-claims.html - 25k - Cached - Similar pages
Thermal printing device with fast closure - US Patent 6666604
A roller is integral with the frame such that its longitudinal axis is also ... The parts of the orifices opposite the printhead are homothetic to each ...
www.patentstorm.us/patents/6666604-description.html - 30k - Cached - Similar pages
More results from www.patentstorm.us »
(WO/2004/049033) TELESCOPE SYSTEM, AND A METHOD FOR COMBINING ...
The longitudinal shifts of the entrance and exit pupils are, at least on the optical axis, homothetic to each other. It is known that moreover, ...
www.wipo.int/pctdb/en/wo.jsp?WO=2004049033&IA=WO2004049033&... - 44k - Cached - Similar pages

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Note added at 3 hrs (2008-06-17 15:58:09 GMT)
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Unique determination of visible bodies from their projections
if they can be superimposed by a composition of a proper motion of R 2 and a homothety. We. assume that a homothety with a negative coefficient is a ...
www.springerlink.com/index/R2075712VW126364.pdf - Similar pages

liz askew
United Kingdom
Local time: 04:20
Native speaker of: Native in EnglishEnglish
PRO pts in category: 20
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19 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
superimposable up to a homothety


Explanation:
I am not sure what the problem is here. I admit that the word "homothety" has a somewhat bizarre and ungainly ring to it in English (the more correctly formed "homothecy" is even rarer), but this is a patent, for crying out loud, not a novel!

In any case, anyone with a modicum of mathematical sophistication would be able to make sense of my suggestion. (I might add that the original author is using a terminological sledgehammer to crack a walnut, but that is not the translator's problem.)

Richard Benham
France
Local time: 05:20
Native speaker of: Native in EnglishEnglish
PRO pts in category: 3
Grading comment
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