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Französisch: superposables à une homothétie près

Englisch translation: superimposable up to a homothety



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Glossareintrag (aus Frage unten abgeleitet)
Französisch Begriff oder Satz:superposables à une homothétie près
Englisch Übersetzung:superimposable up to a homothety
Eingetragen von:Rebecca Elliott
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12:50pm Jun 17, 2008Login or register (free) for more options.
Übersetzungen Französisch > Englisch [PRO]
Tech/Engineering - Patente
Französisch Begriff oder Satz: 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
Vereinigtes Königreich
Notiz(en) an den/des Fragesteller(s)
chris collister: 3:48pm Jun 17, 2008: "a homothety is a transformation of space which takes each line into a parallel line (in essence, a similarity that is similarly arranged)." You can duck the issue by: "are not necessarily homothetically superposed", or something like that!
rkillings: 9:07pm Jun 17, 2008: Agree with Chris. Only the adjectival form 'homothetic' is at all current in English, and it is fairly recondite at that.

superimposable up to a homothety
Erklärung:
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.)
Ausgewählte Antwort von:

Richard Benham
Frankreich
Hinweis von Fragesteller an den Antwortenden
Thank you
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ZUSAMMENFASSUNG ALLER ÜBERSETZUNGEN (ENGLISCH)
4superimposable up to a homothety
Richard Benham
2refsliz askew


  


Antworten

29 Min.   Antwortsicherheit: Answerer confidence 2/5Answerer confidence 2/5
refs

Erklärung:
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
Vereinigtes Königreich
Muttersprache: Englisch
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19 Stunden   Antwortsicherheit: Answerer confidence 4/5Answerer confidence 4/5
superimposable up to a homothety

Erklärung:
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
Frankreich
Muttersprache: Englisch
PRO-Punkte in Kategorie: 3
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Thank you
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