---
title: "Vicon Valkyrie camera lens"
canonical: "https://help.vicon.com/space/Valkyrie/1765705/Vicon%20Valkyrie%20camera%20lens"
format: markdown
---
The function of the camera lens is to collect reflected light from a scene and to form a focused image on the camera's sensor plane. The lens that has been developed and fitted to your Vicon Valkyrie camera offers optimal data quality and provides a view angle that is appropriate for your requirements. The type of lens that will provide optimum performance for a particular application depends on factors such as the field of view (FOV), image circle, aperture and depth of field, and any lens filter fitted. For descriptions of these, see [Camera lens characteristics](#CameraLensCharacteristics), which provides a basic description of the most important functional lens characteristics.

The proprietary Vicon lens designed for Vicon Valkyrie cameras has been custom-built for motion capture. It has a large image circle to ensure that the entire image—not just the center—is evenly illuminated.

Other commercially available lenses are not necessarily designed to work with high resolution cameras; they tend to have a limited resolving power, and are more suitable for sensors with a resolution of less than two megapixels. As a result, when capturing with markers close together, the lens can have difficulty resolving the gap between the markers, causing merging even when the focus is optimal. For full specifications, see [Vicon Valkyrie technical specifications](https://vicon-help.atlassian.net/wiki/spaces/Valkyrie/pages/1762445) and for information on focusing, see [Focus a Vicon Valkyrie camera lens](https://vicon-help.atlassian.net/wiki/spaces/Valkyrie/pages/1744994).


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 Camera lens characteristics

The following topics describe the factors that affect lens types:

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### Field of View

The most important factor that distinguishes the Vicon Valkyrie camera lens is the total area that the camera can see. This is called the Field of View (FOV).

The scene that comprises the FOV has horizontal width (H) and vertical height (V). Knowing the distance (L) between the camera and a plane that defines the total FOV helps to select the type of lens to meet a particular application.

Lenses are described in terms of their focal length (f), defined as the distance in millimeters that the center of the lens must be from the sensor plane surface to project a sharp image on the sensor. The focal length of a lens is often given on the body of the lens or around the surround of the glass element at the front of the lens as well as in the lens documentation and packaging.


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The focal length determines the angle of view (AOV) through the lens, as shown in the following diagram:

![image](media://a6ecfa2e-e82e-4fda-ad8e-ac28543f398b)

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Normally, the AOV is calculated based on the known focal length and sensor size. This in turn determines the FOV, based on the distance (L) to the object being captured, as shown in the following diagram.

![image](media://68a689ff-dc92-4ce6-8bbe-c263f225f7c1)

The sensor area used for capturing data through a Valkyrie camera determines the maximum FOV available for this combination of camera and lens. The area of the sensor is determined by its horizontal width (h) and vertical height (v).

The capture frame rate for each Vicon Valkyrie camera can be configured in the Vicon application software. The configured frame rate will also affect the field of view. Higher camera frame rates may make windowing of the sensor necessary, such that the sensor area used for capture is reduced in comparison to lower camera frame rates. For full details, see [Vicon Valkyrie technical specifications](https://vicon-help.atlassian.net/wiki/spaces/Valkyrie/pages/1762445).

### Image circle

Another characteristic of the camera sensor is the image circle. This is the sharp circular image that the camera lens casts onto the sensor, as shown in the following image.

![image](media://74063dc1-e9c3-41c0-8173-6a63d91338c7)

The diameter of this image circle is the maximum area of usable quality image that the lens can produce. Most lenses produce their best image at the center of the lens, dropping off in performance towards the outer extremes of the lens. This results in a gradual darkening towards the edges of the image, known as vignetting. Vignetting gets worse for wider angle lenses and for wider open apertures, but the area at which vignetting starts to occur depends on the lens.

Thus, for optimum performance, the image circle projected should be larger than the sensor area used by the camera. This ensures that the entire sensor is utilized and eliminates the fall-off of light that occurs towards the edge of the image circle. If the image circle of a lens is too small for the sensor size, then the camera image around the edges and corners is lost. Vicon Valkyrie cameras are fitted with a lens that has an appropriately sized image circle for the sensor.


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The relationship between image circle (sensor size) and lens defines two of the most important optical properties: Field of View and Angle of View.

The following table gives the formulae used to calculate the angle of view (AOV) and field of view (FOV) for camera and lens combinations. These formulae require the dimensions of the sensor area used for each of the Valkyrie cameras at different frequencies.

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| **Horizontal AOV (°)** | **Vertical AOV (°)** | **Horizontal FOVWidth H (m)** | **Vertical FOVHeight V (m)** |
| --- | --- | --- | --- |
| 2 x Tan<sup>-1</sup> (h/2f) | 2 x Tan<sup>-1</sup> (v/2f) | h x L/f | v x L/f |

where:

f = focal length of the lens (mm)  
h = horizontal width of sensor (mm)  
v = vertical height of sensor (mm)  
L = distance from the lens to the object (m)

For sensor size details, see [Vicon Valkyrie camera range](https://vicon-help.atlassian.net/wiki/spaces/Valkyrie/pages/1755985).

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As an example, consider a Valkyrie VK26 camera with a focal length of 12 mm operating at 150 fps at a distance of 9 m from the target markers. Given the VK26 sensor size (12.8 mm (H), 12.8 mm (V)), you would calculate:

|  |  |
| --- | --- |
| Horizontal AOV: | 2 x Tan<sup>-1</sup> (12.8/(2 * 12)) = 56.14° |
| Vertical AOV: | 2 x Tan<sup>-1</sup> (12.8/(2 * 12)) = 56.14° |
| Horizontal FOV at 9m: | 0.0128 x (9/0.012) = 9.60 m |
| Vertical FOV at 9m: | 0.0128 x (9/0.012) = 9.60 m |

> ⚠️ **Important**   
> ⚠️ These formulae take into account only the optical components of the camera and lens, thus they calculate the maximum possible theoretical Field of View from this combination. Poor illumination of the volume by camera strobes, less than optimal aperture or gain settings, or poor marker surface quality might all reduce the FOV in which a camera can recognize a marker below this maximum theoretical level.   
> ⚠️ When using these formulae, note that for frame rates above the full-resolution rates given for Valkyrie cameras in [Vicon Valkyrie camera performance comparison](https://vicon-help.atlassian.net/wiki/spaces/Valkyrie/pages/1755985/Vicon+Valkyrie+camera+range), the sensor area is reduced due to windowing, as described in [Field of View](#FieldOfView).


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### Aperture and depth of field

Another significant factor that differentiates lens types is the aperture (also known as the f-stop value, f-number, and F#).

The aperture is the ratio of the focal length of the lens to the diameter of the lens opening, which determines the amount of light that can pass through the lens. Smaller f-stop values (eg, f2, f2.8) represent wider apertures that allow more light to pass through, while larger f-stop values (eg, f11, f16, f22) represent narrower apertures that allow less light to pass through. Typically, faster lenses have larger diameter optics that can pass more light.

Each f-stop value changes the lens opening from the next f-stop by a factor of 2. For example, decreasing the aperture from f11 to f8 allows twice as much light to pass through. Increasing the aperture from f11 to f16 allows half as much light to pass through.

The aperture and magnification affect the depth of field, that is, the portion of the image that has sharp focus. Immediately surrounding this area, there is a region in which the image remains in focus. Outside of this area, moving towards or away from the lens, the focus becomes progressively less sharp and the image appears out of focus. Thus, as the aperture and focal length decrease, the depth of field increases. Conversely, as the aperture and focal length increase, the depth of field decreases. 

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### Camera lens filters

To optimize the performance of the Valkyrie cameras, each lens is fitted with an optical filter that attenuates wavelengths of light other than the narrow passband required to pass the light emitted by the light-emitting diodes (LEDs) from the Valkyrie strobe unit and reflected back from the markers to the camera.

> ✅ **Tip**   
> ✅ When the cameras are used outdoors, try to position the cameras to minimize the ambient light as the filter cannot distinguish ambient light of the same wavelength as that of the strobe.