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How the concept of rational algebraic equation applied in photography particularly on the operations of cameras?
Wiki User
∙ 10y ago
Algebraic equations are used by a photographer to ensure she gets the best shot possible. Though algebra is not the only form of math used in Photography, it is an important one, because it has to do with the lens and mirrors within the camera body. Other types of math used by photographers include simple math, trigonometry and geometry.
- Focal Length Equation
A photographer may use the focal length equation, also referred to as the mirror equation, when determining the distance an object is from the lens. This helps the photographer determine the focal length to use in relation to infinity. The focal length (F) is calculated in relation to the distance of the object (Do) and the distance of the image (Di) using the formula 1/F = 1/Di + 1/Do.
The magnification equation is calculated to determine the relationship of the ration of the image and object distances in relation to their heights. The distance is calculated as a negative in the formula to reflect the fact that it is located behind the mirror in the lens. The formula used is Hi/Ho = - Di/Do, with Hi being the image height and Ho being the object height.
The depth of field for the camera's lens is determined by calculating the pupil magnification (P) of the camera. A camera has both an entrance pupil (Pe) and an exit pupil (Px), both of which are the diameter of the aperture in the front and back of the lens. The pupil magnification formula used by photographers is P = Pe/Px.
A photographer must be able to calculate the depth of focus (U), which is the area in front and behind the focal plane of the camera. The depth of focus is an important part of photography because it determines if a shot will be in focus or not. The formula to calculate depth of focus is U = 2NC (1 + M/P) with N being the true F-number, C being the circle of confusion and M being the image magnification. Other algebraic formulas may have to be calculated, such as the pupil magnification equation, to complete the depth of focus equation.
Wiki User
∙ 10y ago
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