Glossary entry (derived from question below)
German term or phrase:
Bahnkreuzung
English translation:
intersection of the Lissajous curve
Added to glossary by
Meturgan
Dec 6, 2004 05:00
19 yrs ago
1 viewer *
German term
New Zealand
Committed to the Customer
Native in: English (Variant: New Zealand) 
Works in: French to English, German to English, Spanish to English
Bahnkreuzung
German to English
Medical
Medical: Dentistry
CO2 Laser Ablation
Bei gleicher Zeitdauer (1 s) kann dagegen das entsprechende Areal im cw-Betrieb immer noch 10-mal bestrahlt werden.2 Zudem beschreibt der Scanner eine sog. Lissajousche Bahnfigur, bei der es zu ***Bahnkreuzungen*** kommt. An Stellen der ***Bahnkreuzungen*** besteht eine höhere Wahrscheinlichkeit für eine mehrfache Applikation von Laserpulsen, während in benachbarten Arealen bisweilen keine Pulse auftreffen.7 Damit ist erklärbar, dass Zonen dysplastischer Zellen an der Oberfläche nicht vom Laserstrahl erfasst werden und somit überleben."
From a text about CO2 laser ablation. What exactly is a Bahnkreuzung here? Path crossing? Path intersection? Maybe just intersection on its own? TIA for your help.
From a text about CO2 laser ablation. What exactly is a Bahnkreuzung here? Path crossing? Path intersection? Maybe just intersection on its own? TIA for your help.
Proposed translations
(English)
| 1 +1 | intersection(s) of the Lissajous curves / Lissajous figures |
Meturgan
|
| 3 | path crossing |
Protradit
|
Proposed translations
+1
2 hrs
Selected
intersection(s) of the Lissajous curves / Lissajous figures
I found something that might help you. It's just a guess.
http://www.math.com/students/wonders/lissajous/lissajous.htm...
Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis. The resulting pattern was a function of the ratio of the two frequencies.
http://www-gap.dcs.st-and.ac.uk/~history/Curves/Lissajous.ht...
Pedal curve : Given a curve C then the pedal curve of C with respect to a fixed point O (called the pedal point) is the locus of the point P of intersection of the perpendicular from O to a tangent to C.
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Note added at 3 hrs 9 mins (2004-12-06 08:09:34 GMT)
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Lissajous figure, also called Bowditch Curve, is a pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. First studied by the American mathematician Nathaniel Bowditch in 1815, the curves were investigated independently by the French mathematician Jules-Antoine Lissajous in 1857–58. www.britannica.com/eb/article?tocId=9048492
Lissajousche Bahnfigur = Lissajous figure = Lissajous curve
Bahnkreuzungen = intersections of the Lissajous figure / Lissajous curve
[0034] If one associates each intersection of the Lissajous figure with an image point, i.e. a point on the image field at which a light point 35 with desired brightness is to be created by modulation of the light beam 18, in order to result in the image to be projected together with other image points, and counts each reversal point as half an intersection, the following applies for the number N of the image points defined in this way:
http://www.freshpatents.com/Photofinishers-dt20041104ptan200...
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Note added at 4 hrs 53 mins (2004-12-06 09:54:06 GMT)
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Still guessing:
.... a so called Lissajous figure with intersections in it
http://www.math.com/students/wonders/lissajous/lissajous.htm...
Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis. The resulting pattern was a function of the ratio of the two frequencies.
http://www-gap.dcs.st-and.ac.uk/~history/Curves/Lissajous.ht...
Pedal curve : Given a curve C then the pedal curve of C with respect to a fixed point O (called the pedal point) is the locus of the point P of intersection of the perpendicular from O to a tangent to C.
--------------------------------------------------
Note added at 3 hrs 9 mins (2004-12-06 08:09:34 GMT)
--------------------------------------------------
Lissajous figure, also called Bowditch Curve, is a pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. First studied by the American mathematician Nathaniel Bowditch in 1815, the curves were investigated independently by the French mathematician Jules-Antoine Lissajous in 1857–58. www.britannica.com/eb/article?tocId=9048492
Lissajousche Bahnfigur = Lissajous figure = Lissajous curve
Bahnkreuzungen = intersections of the Lissajous figure / Lissajous curve
[0034] If one associates each intersection of the Lissajous figure with an image point, i.e. a point on the image field at which a light point 35 with desired brightness is to be created by modulation of the light beam 18, in order to result in the image to be projected together with other image points, and counts each reversal point as half an intersection, the following applies for the number N of the image points defined in this way:
http://www.freshpatents.com/Photofinishers-dt20041104ptan200...
--------------------------------------------------
Note added at 4 hrs 53 mins (2004-12-06 09:54:06 GMT)
--------------------------------------------------
Still guessing:
.... a so called Lissajous figure with intersections in it
Peer comment(s):
| agree |
Ken Cox
: With 'intersection(s) of the Lissajous figure'. A Lissajous figure is is a closed curve with one or more intersections, and if the laser beam follows the path of such a curve, the only points to be exposed to the light will be those lying on the curve.
2 hrs
|
4 KudoZ points awarded for this answer.
Comment: "Thank you for this impressive and well-referenced answer. Thanks also to Kenneth for an extremely helpful comment. Appreciate the assistance from you both."
9 mins
path crossing
Declined
.
Comment: "If you're not prepared to explain your answer, then I'm sorry, but I'm not prepared to accept it."
Discussion