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If you read lens specifications (yes, I’m that kind of guy) on manufacturer’s websites, they’ll often quote the field of view (F.O.V) of a lens as well as the focal length. When they do this in photographic terms, they’re talking about horizontal field of view in degrees, and whilst any lens will also have both a vertical and a diagonal field of view, they are rarely talked about in relation to photographic lenses.

Non-contact measurement that doesn't skew measurement of flexible parts or damage sensitive parts.Measurement is possible even for targets with small or complicated shapes.Unlike measuring microscopes, there is no need to look through an ocular lens, which makes it possible for multiple people to perform observations at the same time.The use of optical comparators is widespread in the inspection and measurement of items such as electronic components and precision components. Conventionally, time and effort required for datum referencing and target positioning.

Magnification. The amount of a scene that will fit into the image area of a particular size film depends on the focal length of the lens being used. An image ...

Dan, I’m a newbie to landscapes, and I’m not a professional. So, here’s a little feedback. Please understand that I don’t necessarily have the right language to ask the right questions. What I was really looking for is a way to know what general lens size to use to get a “how large a field of view. The math is helpful, but really not intuitive, especially if your last experience with higher math was 30+ years ago. What was a very useful visual for demonstrating angle of view is the first illustration you had, namely, the “topdown” view of the camera with cones coming forward in different colors. A visual chart or series of charts showing an object at say 200 yards, with the focal point in the center, and a second overlay on top of that showing how much distance to the front & back of the focal point remains in focus relative to the aperture would be ideal. I realize you are probably laughing out loud at this, & don’t have anywhere near enough time for a project of that size, & probably even less inclination to actually do it, but it would be enormously helpful, and a lot more visually intuitive. Thanks so much.

Thanx for the math. Can the view angle and/ or field of view for fish-eye lenses both rectilinear and circular image types also be calculated? It is my understanding the formulas are more complicated. I am interested because I have two fisheye Zuiko lenses from OM-2 & 4 cameras which I would like to use with adapter on Panasonic G 85 or Canon M 50. Can you help? TIA

As far as I can tell, it is correct. I just plugged some values into other online FOV calculators and the FOV calculator in the most popular photography iPhone app and all got the same answers that are in my table. 36mm is the width of a full frame sensor.

Since the equation for field of view contains the sensor width, which determines the crop factor of a sensor, this is another way to see the effect that the crop factor of a camera has on an image. The smaller the sensor, the larger the crop factor, and the smaller the field of view for a given focal length. Below I have included data for full frame field of view, as well as the three most common digital crop factors. If you want to learn more about crop factor, you can read my tutorial: How To Calculate a Camera’s Crop Factor.

Note that this equation HSize/2=f*Tan(FoV/2) is inaccurate if your DSLR lens has >1% distortion. So, it shouldn’t be used for lenses like the Canon 11mm-22mm and most <15mm EFL 35mm-format type lenses. The G6 14mm has ~5% distortion.

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I would check that your camera is in full output. If you use are using a smaller output resolution, your FoV will be cropped. The frame size input will be smaller.

Place the object on the stage.A scale is applied to the image projected enlarged on the screen to measure the dimensions. Alternatively, you can use the XY stage together and measure the dimensions from the amount of movement.An optical comparator with a computerised calculation function, you can obtain various measurement results such as width, diameter, and angle by taking measurement points while moving the stage.

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your FOV table is wrong. i think you took 36mm width instead of the diagonal. =2*ARCTAN(SQRT(24^2+36^2)/(2*”focallength”))*(180/PI())

If you want to use the field of view equation on this page to calculate the field of view for a sensor size other than the four that have been provided, you’ll need to refer to use this list of common sensor sizes and their crop factor.

Place the object to be measured on the screen and adjust the height of the table to focus.Next, align the orientation of the side you want to measure on the projected image with the orientation of the screen reference line, and adjust the value of the XY stage to 0.Next, move the stage using the stage movement handle and align the other side of the projected image to be measured with the screen reference line.At this time, the movement amount of the stage is displayed in each of the X and Y directions, so this value becomes the measured value. In the case of simple measurement in only one direction, the amount of movement in only the X or Y direction is used.

CCTVfield of viewcalculator

Conventional optical comparators require regular maintenance in order to continuously and accurately perform measurements. Maintenance is often performed onsite by a technician as the tool is generally to large to send and receive regularly.In addition, regular calibration is required to confirm that the accuracy is as specified. An optical comparator’s calibration cycle is 6 months to 3 years. As with maintenance, calibration is generally performed locally.

The optical comparator can not only illuminate from below and transmit light to create a shadow, but can also illuminate from above (lens side) to project outlines.Even if the measurement target is difficult to measure with only the transmission (backlit) image, it is possible to measure it by using the epi-illumination.

Field of viewcalculator astrophotography

The overlay chart is used by matching it with the measurement image projected on the screen. There are various types of charts. For example, those with a grid or concentric scale are generally used.In addition, by overlaying the diagram chart in which the design value of the measurement target is magnified at the same magnification, it is possible to see how the contour of the design value differs from the actual measurement target by superimposing it on the projected image.

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Field of View. How many feet both horizontally and vertically in FOV using a 2000mm lens at 800 yards? I am trying to decide if I want to spend the money on a Nikon that comes with that lens.

Hikvisionfield of viewcalculator

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The equation with distortion is quite a bit more complicated, so even apps like PhotoPills haven't modelled it. It has 4 variable coefficients and an additional SIN function. Here is a calculator which extends to lenses with distortion: https://commonlands.com/pages/fov-calculator

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As I continue to build out the photographic knowledge base on the site with articles like Understanding Neutral Density Filter Names and Numbers, and Understanding Aperture, I thought I’d write a quick post about how to calculate field of view for a photographic lens. Lenses are usually described by their focal length, expressed in mm, but how does this translate to field of view?

Note: If your calculator is working in radians, you need the (180/π) part at the end. if your calculator is working in degrees, you do not need that bit! If you aren’t sure… it will become pretty obvious when you run the equation as results will be wildly wrong.

FOV to focal length calculator

A typical optical comparator illuminates from below and projects the shadow of the measuring object placed on the stage through a projection lens onto a projection screen. For this reason, it’s also known as a profile projector or shadowgraph.At this time, the size of the projected image is an image magnified with a correct magnification from the measuring object, and the dimension of the measuring object is measured by measuring this image.An optical system called a "telecentric optical system" is used in the optical comparator so that it can be projected with accurate magnification from any position on the stage. With a general lens, near objects look large and distant objects appear small, which allows you to judge perspective. Telecentric lenses, on the contrary, project the same size for near and far objects.This telecentric lens allows you to cast the shadow of an object at the correct magnification without warping the image.

While the optical comparator is a convenient measuring instrument that can perform various measurements, there are a few obstacles users can encounter.

As well as calculating the angle of view, we can also use the same trigonometry to calculate the field of view as a linear measurement, as long as you know the distance to your subject, or, if you know the size of your subject and the focal length you are going to use, it could tell you how far away from it you need to be to get it to fill the frame. The units of measurement will be constant in the equation, so if you use metres as your distance to subject, the linear field of view will also be in metres.

I need to shoot down on a square card table, 35 inches on each side (including margins) at a distance of about 1 meter. I am using a Panasonic G6 with the 14-42mm kit lens set at 14mm. Online calculators using the formula FOV (rectilinear) = 2 * arctan (frame size/(focal length * 2) indicate that the 14mm focal length should cover 35.14 inches in the vertical dimension at a distance of 41 inches. When I actually tried it, I had to be at least 11 feet back from the table. What gives?

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There are several types of charts.For measuring the diameter and radius, there are concentric circle marks, for measuring angles, there are radial marks, and for both. In addition, some of the scales are written in a grid to see the XY coordinate values. Both are placed on the screen and measured by matching them with the projected image.

I am not at all sure which is the best way to quote, but it is important to know how the quoted numbers are defined. Thanks for your very useful discussion.

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Blackout curtains are used to block light coming from outside. It is used for the purpose of projecting a shape more accurately by blocking ambient light.

Camerafield of viewsimulator

Fixtures used for optical comparators are used to fix the object in place to be measured in the correct orientation. For example, a round object can be fixtured horizontally by clamping it down, or for fixing an object whose bottom surface is not flat in an orientation suitable for measurement.There are various types of fixtures including clips, clamps and magnets.

I’ll be honest Michael, I don’t have time to do the math for you. The idea was to create a resource for people to calculate this themselves. All the equations you need are right here on the page. Just plug your numbers in 🙂

but you can easily just skip the entire thing and stream with a decent background behind you. But if you are hellbent on using one, your best ...

Place the object to be measured on the screen and adjust the height of the table to focus.Next, align the centre point of the circle on the projected image with the point where the screen reference line is public.In the case of radius, take 0 points here and move the stage to check the movement amount at the point where the edge of the circle was at the centre of the stage. In case of diameter, move the stage once from here to the edge of the circle, take 0 point, and move to the opposite edge to check the amount of movement. In either case, it is common to measure in four directions in a cross shape.It is also possible to measure by applying a concentrically graduated sheet called a "chart" to the screen.In the case of an optical comparator with a calculation function, the diameter and radius are automatically calculated by taking three measurement points at the edge of the circle.

FOV to mm calculator

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It must be noted here that Canon has actually used difference sensor sizes for their APS-C cameras over the years. Since the sensor dimension does affect the field of view, this should be taken into account in order to be 100% accurate. For the data table below I have chosen to use the sensor width of 22.5mm because this is the one that Canon seem to have stuck with for their own calculations, and it is also the dimension that gives exactly a 1.6x crop factor. Whilst they do have 22.3mm and 22.4mm sensor widths on the market as well, this minuscule difference would not actually make any noticeable difference to your images, but if you ran your own calculations for your own camera and found they did not match my numbers, this will be the cause of the difference. It was the source of some head scratching for me when I was figuring all this out myself!

There are several ways to measure the angle.A method of checking the amount of rotation of the stage by rotating the stage in the θ direction by aligning the straight line of the projected image with the reference line of the screen.There is a method of checking by putting a sheet called "chart" with fine scale like a protractor on the screen.On an optical comparator with a calculation function, the angle is calculated by specifying two straight lines.

The larger the field of view, the wider the lens is and the more of a scene you are going to see with your camera. Telephoto and super telephoto lenses have very small fields of view, just a few degrees, so they aren’t able to see very much of the scene in front of them, although the compensating virtue is that what they do see, is much larger in the frame. A wide angle lens for landscape photography has a very small focal length, and therefore a large field of view that lets you record broad landscapes in a single shot.

Nikon specs their 10-24mm DX lens as having AoV of 109 degrees at 10 mm and 61 degrees at 24 mm when used on a DX camera. This does not agree with your table above. However, using their two numbers, you can easily calculate the sensor size from your formula–it is 28.4 mm. This is exactly the diagonal of the cropped sensor size of 23.5 x 15.7 mm.. Thus, Nikon uses the diagonal for quoting their specs, not the width of the sensor.

Thanks for the suggestion Kay. I like the idea, but there are many phone apps out there that offer this already, and they do a better job than I could ever do. I would suggest buying the app called “PhotoPills”, it has angle of view and depth of field calculators in it and it’s a great app for many things related to photography.

Optical comparators are a type of optical measuring instrument. The measurement principle is similar to that of optical microscopes. The target is placed on the stage, and a light is shined on the target from underneath. This causes the target's profile, or shadow, to be projected on the screen. A telecentric optical system is used to enable accurate measurements.Optical comparators were originally developed to inspect the outlines of targets. Models equipped with measurement functions appeared later. Some large optical comparators have screen diameters that exceed 1 m.Optical comparators are also commonly known as a profile projector or shadowgraph.

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