transformation géométrique de passage
English translation: geometric transformation for conversion of data [between two frames of reference]
| 09:39 Apr 30, 2022 |
| French to English translations [PRO] Tech/Engineering - Electronics / Elect Eng / radar system | |||||||
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|  Selected response from: Daryo United Kingdom Local time: 23:44 | ||||||
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| 4 +1 | geometric change-of-basis transformation |
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| 4 +1 | geometric transformation for conversion of data [between two frames of reference] |
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| Discussion entries: 9 | |
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Answers
4 hrs confidence: 
peer agreement (net): +1
peer agreement (net): +1geometric change-of-basis transformation Explanation: passage most probably refers here to the methods used in linear algebra in order to carry out a 'change of basis', where a 'basis' is a set of 3 orthogonal vectors that define a three-dimensional space containing a given vector (such as that representing the boresight of an antenna). As noted here: https://en.wikipedia.org/wiki/Basis_(linear_algebra)#Change_... , any given vector space can have several bases. This webref: https://en.wikipedia.org/wiki/Change_of_basis explains the 'change-of-basis' formula used to express the coordinates relative to one basis in terms of coordinates relative to the other basis. " ... xold = Axnew, where ... A is the change-of-basis matrix (also called transition matrix) ...". If we switch to the French version of the 2nd Wikiref: https://fr.wikipedia.org/wiki/Changement_de_base_(algèbre_li... , the first sentence reads: En mathématiques, plus précisément en algèbre linéaire, une matrice de passage (ou encore matrice de changement de base) permet d'écrire des formules de changement de base pour les représentations matricielles des vecteurs, ... Asker's additional context: " ... a computing unit (20) configured to calculate values of parameters defining a geometric transformation for moving from the reference frame of the carrier and the reference frame of the onboard apparatus," describes rather precisely a practical example of circumstances where a 'change of basis' is being calculated. transformation géométrique de passage (where passage = changement de base) --> geometric change-of-basis transformation or: geometric transition transformation I would suggest using the first expression, which relates more-specifically to linear algebra than does the second one. |
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Notes to answerer
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10 hrs confidence: peer agreement (net): +1
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1 hr |
| Reference: comment Reference information: I am unable to find your phrase in French, which is bothering me. -------------------------------------------------- Note added at 1 hr (2022-04-30 10:52:17 GMT) -------------------------------------------------- "passage" does not feature here: Les matrices de transformations | Secondaire | Alloprof https://www.alloprof.qc.ca › eleves › mathematiques › les-... Toutes les transformations géométriques (translation, rotation, réflexion, homothétie) sont possibles avec la multiplication de matrices de transformation. -------------------------------------------------- Note added at 1 hr (2022-04-30 10:59:24 GMT) -------------------------------------------------- de passage can = transitional/temporary -------------------------------------------------- Note added at 1 hr (2022-04-30 11:01:29 GMT) -------------------------------------------------- other finding GÉOMÉTRIE DE LA SPATIOCARTE - PoPuPS https://popups.uliege.be › ... by R BILLEN · 2000 · Cited by 10 — transformation géométrique. Le passage d'un système image à un autre système ... d'images (capteur optique, radar, etc.). D'autre part,. (PDF) Etude et Evaluation des Techniques de Corrélation et ... https://www.researchgate.net › 28436... · Translate this page En effet, le passage d'une image à une autre est assuré par une transformation géométrique adéquate. Les méthodes de création d'un modèle de transformation ... -------------------------------------------------- Note added at 1 hr (2022-04-30 11:03:53 GMT) -------------------------------------------------- passage can also mean conversion -------------------------------------------------- Note added at 1 hr (2022-04-30 11:05:48 GMT) -------------------------------------------------- In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. It could well mean "translation" |
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