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Inhaltsverzeichnis

Lasereffektetechnik

Alles über:
Showlaser
Lasereffekte
Lasergrafiken
Laserspiele
Laserevents
Lasertechnik
Lasershows
Laserstrahlen
Laserbeams
Grafiklaser
Lasersysteme
Laseranlagen
Effektlaser
3D-Laser
Laserkunst
Openair-Laser
Indoor-Laser

Wassersprudeleffekte

Alles über:
Wassereffekte
Wasserorgeln
Wassershows
Wasserspiele
Wasserballett
Wassertheater
Fontänenbau
Wasserfälle
Aquashows
Hydroshows
Springbrunnen
Tropfenwunder
Wasserwurst
Jumping Jets

Jump Jets
Springfische
Wasser-Feuer werke
Fontäneneffekte
flüssige Feuerwerke
Sprüheffekte
Theater-Wasser effekte

Wasserleinwandprojektionen

Alles über:
Wasserwände
Regenwände
Wasserschilder
Hydroschilder
Wassergrafiken
Wasservorhang
Regenvorhang
Nebelleinwand
Logoprojektion
Wasserwand projektionen
Hydroleinwand
Aqualeinwand
Wasserschleier
Sprühleinwand
Wasserfälle
Raumteiler
Wasserleinwan dprojektionen

Weitere_Effekte

Alles über
weitere Effekte

Alles über:
Logoprojektionen
Nebelprojektionen
Wolkenprojektion
Wasserprojektion
Laserprojektionen
Videoprojektionen
Diaprojektionen
Schriftprojektionen
Grafikprojektionen

Wasserkunstobjekte

Alles über:
Wasserkunst
Kunst mit Wasser
Wasserphänomen
Wassermagie
Wasserfiguren
Hydrodynamik
Wasserparadox
Wassermaschine
Wasserkräfte
Wasserprojektion
Wassermarionette
Wasserkino
Wasseradern
Wellenmaschine
Pantograph
AquaYoYo
AquaWahWah
Wassersprecher
Wasserlaser
Anemonen
WasserMobile
Yin/Yang Gerät
Wassermysthik
Wasserlampen

Musterangebote und Preisbeispiele

Eventtechnikkontakt

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Berechnungsmöglichkeit für Bildgröße, Bildabstand oder Projektionswinkel

Manchmal ist es notwendig, die Bildgröße oder den Bildabstand berechnen zu können. Somit können Planungen genauer ausgefertigt und die Vor-Ort-Situation besser berechnet werden. Die maximale Scan-Angle-Größe beträgt 80°.

Herr Bill Benner hat sich die Mühe gemacht, folgede Informationen auszuarbeiten, die Ihnen behilflich sein können:

For some applications, it may be necessary to figure out the scan angle, the screen distance or the image width. The formulas and table below will make this easy. To use the formulas, you must know the two of the following three parameters:

A = Scanning angle in degrees, peak-to-peak. This is also known as the "optical" angle.

D = Throw distance from the scanners to the screen.

W = Projected image width (Of course, the image height should also be the same, so both scanners are tuned to the same angle).

The distance and width must be in the same units, such as feet or meters. The units themselves do not matter.
There are two ways to find the unknown (third) parameter. One is by calculations involving the tangent of
A (actually, A divided by two, since the half-angle must be used). The other is by using the distance-to-width ratio listing in the table below. Both methods are described below. Either method gives the same result, so use whichever you feel is easiest.
The diagrams at left will help to explain how the calculation formulas were derived.

To find the scan angle A, knowing the width W and distance D

By calculation: tan(A/ 2) = W / (D * 2).
For example,
W is 109 meters and D is 150 meters. First, multiply D times 2 to get 300. Then, W (109) divided by 2*D (300) is 0.3633. Next, look in the table below, to find the closest angle which has a tangent of 0.3633. This is 20 degrees (at 0.3640). We have just found the half-angle of scanning; the actual peak-to-peak angle is twice this, or 40 degrees. Thus, the desired scan angle A is about 40 degrees.

Using the table: tablewidth@A = (W * 100) / D.
For example,
W is 109 meters and D is 150 meters. First, multiply W (109) by 100 to get 10,900. Divide this by the distance D (150) to get 72.6. Finally, look down the table at the "Distance-to-width ratio" column until you find the angle A where the table width is closest to 72.6. This is at 40 degrees, where the ratio is 100 : 72.8. Thus, the desired scan angle A is about 40 degrees.

To find the distance D, knowing the scan angle A and the width W

By calculation: D = W/ (tan(A/ 2) * 2).
For example,
A is 40 degrees and W is 109 meters. First, look in the table below to find the tangent of half of 40, or 20 degrees; this is 0.3640. Next, multiply 0.3640 times 2. The equation is now W (109) divided by 0.7280, or 149.7. Thus, the desired distance D is about 150 meters.

Using the table: D = (W / tablewidth@A) * 100.
For example,
A is 40 degrees and W is 109 meters. First, look in the table below and find 40 degrees. The distance-to-width ratio is given as 100 : 72.8. Using the formula, divide W (109) by 72.8 (the table width at A), to get 1.497. Finally, multiply this by 100 to find 149.7 meters, the desired distance D.

To find the width W, knowing the scan angle A and the distance D

By calculation: W= D * (tan(A / 2) * 2).
For example,
A is 40 degrees and D is 150 meters. First, look in the table below to find the tangent of half of 40, or 20 degrees; this is 0.3640. Next, multiply 0.3640 times 2. The equation is now D (150) times 0.7280, or 109.2. Thus, the desired width W is about 109 meters.

Using the table: tablewidth@A * W = ( D / 100 ).
For example,
A is 40 degrees and D is 150 meters. First, look in the table below and find 40 degrees. The distance-to-width ratio is given as 100 : 72.8. Therefore the table width at A is 72.8. Next, divide D (150) by 100 to get 1.5. Finally, multiply 72.8 by 1.5 to find 109 meters, the desired width W.

 

Scan_angle_1

The scan angle and the distance to the screen determine the width of the projected image.

Triangle_formulas_1

Here's where the scan angle formulas above come from. In a right triangle, the tangent of the scan angle equals the length of the opposite side divided by the length of the adjacent side.

Caution: Although in the formulas above you first multiply by two and then divide by two (or vice versa), these operations do not cancel each other out. This is because the tangent is involved and it is non-linear. So don't skip any steps in the calculations.

Triangle_formulas_2

A laser scan is two right triangles, back-to-back. So the right triangle formula is modified to divide or multiply by two at the appropriate point.

Bildgrößenberechnung01
Bildgrößenberechnung02
Bildgrößenberechnung03

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