The Resolution of Lenses and Images.

What is the Definition of Resolution? And Why Does it Matter?

Resolution defines the sharpness of an image and can indicate advanced camera functions.

There are four types of resolution:

1.) Pixel Count Resolution
2.) System Resolution
3.) Lens Resolution
4.) Angular Resolution

All types of resolution are related and jointly impact computer vision. 

If you've been trying to understand what resolution actually means, you've found the right page. Whether you are a hobbyist, an engineer, or have a PhD in computer vision / image quality / optics, this article has a take for you! The field of image quality metrics is extensive, and this is a small portion of it all!

Why is it so confusing!?

You're not alone! Even the experts interchangeably use the term "Resolution" when it actually refers to four different technical metrics. We ran across this misunderstanding between Optical Engineers, Image Quality Engineers, Sensor Engineering, and Computer Vision Engineers during a 2018 conversation within the IEEE P2020 working group.

Megapixels as Resolution

Pixel Count Resolution

The pixel count resolution has been popularized by the mobile phone industry, but is frequently misleading for 50MP+ cameras as the final output/viewed image rarely has 50MP+ resolution.

Definition:

  • The total number of light capturing photodiode wells in a sensor.
  • The total number of light emitting elements for displays and projectors.
  • The total number of pixels in a digital image.
The resolution of a camera is not actually 64MP

Accurate Usage:

The camera has 64 MegaPixels and creates a 12 to 16 Megapixel image.

Inaccurate Usage:

The camera is 64MP.

SFR as Resolution

What is System Resolution and Why Does it Matter?

The system resolution can characterize the quality any digital image. It is frequently used in digital camera production lines to ensure the lens, lens-to-sensor alignment, and image processing pipeline meet a minimum quality threshold. It can also be used to benchmark different cameras and image processing/compression methods. This metric includes inputs from the Lens, the Lens-to-sensor alignment, the Sensor, the ADC, and the Analog+Digital Image Processing Pipeline. 

Definition:

  • The Spatial Frequency Response (SFR) measures the change in contrast across a gradient in the image. 

How to Express Systen Resolution:

Include the line-widths per picture height, the field position, and the illumination.

Accurate Usage:

The SFR is 2000 LW/PH at 25° field angle under 1000lux 5000K illumination.

Inaccurate Usage:

The MTF of the image is 2000 LW/PH.

What is The Impact of SFR on Computer Vision?

SFR

MTF as Resolution

 "Optical Resolution" is used by Imaging Optics Engineers and is an Input to System Resolution

The optical resolution characterizes the 'sharpness' of an optical system. The MTF applies to both focal and afocal optical systems, including microscopes, imaging lenses, binoculars, and projection optics. 

Definition:

  • The ability of an optical system to resolve two points. 

How to Express Optical Resolution:

Include the MTF as a percentage, the frequency, the field angle, and the wavelength.

Accurate Usage:

The photopic MTF of the lens is 20%@200LP/mm at 50° field angle.

Inaccurate Usage:

The MTF of the lens is 20%.

Instantaneous FoV as Resolution

"Angular Resolution" is used by the Aerospace/Defense industries and Computer Vision Engineers

The angular resolution of a system determines the number of pixels per degree of FoV. Or, the number of pixels per unit distance across an object. ​

Definition:

  •  The number degrees (or minutes) in object space subtended by a pixel in the image. 

How to Express Angular Resolution:

Include both the angular resolution and the field angle.

Accurate Usage:

The imaging system has an angular resolution of 12px per degree at 25° field angle.

Inaccurate Usage:

The imaging system has an angular resolution of 12 pixels per degree.

What is The Impact of Angular Resolution on Computer Vision?

Angular resolution defines the largest object scale that can be input into a network. The impact on performance is direct. Dollar et. Al shows the direct result on average miss rate of pedestrian detectors. With less than 50 pixels, even state of the art detectors can have a 50% miss rate on detection. This increases rapidly as scale decreases.

SFR

From: Dollár, et. al. “Pedestrian Detection: An Evaluation of the State of the Art”​

Combined Megapixels and MTF as Resolution

"Effective Resolution" is used by Lens Supplier marketing teams

The effective resolution is a quick method to filter down a lens selection when you are creating a new camera. The optical resolution (MTF) of lenses can be challenging to understand without extensive experience in camera hardware. Many experienced camera engineers do even not know the tricks which manufacturers can play with MTF charts/testing, so effective resolution can be a shortcut directly to system-level resolution. 

Definition:

  •  The sensor pixel count resolution for which a lens' optical resolution is supposed to be suitable. 

How to Express the Effective Resolution:

Include both the Pixel Count and the image sensor format size.

Accurate Usage:

The lens is suitable for a 12MP 1/2.3" sensor.

Inaccurate Usage:

The lens is rated for 12MP so it's optical resolution is suitable for any 12MP sensor.

This misleading metric will forever remain used and abused by lens manufacturers. If you are a lens buyer: you have now been warned.

Reference and related links:
1.) Dollár, et. al. “Pedestrian Detection: An Evaluation of the State of the Art”​

2.) Vasiljevic, et. Al. “Examining the Impact of Blur on Recognition by Convolutional Networks”​

So, How do we at Commonlands use resolution when talking about our lenses?

As a lens supplier, we provide an objective Effective Resolution score based on empirical System Resolution measurements.

What matters for performance is the final image quality.

For general lens effective resolution metrics:
We perform through-focus ISO12233:2014 measurements using a number of sensors that have different pixel pitch.
Then, we find the maximum image circle.
After applying the maximum sensor size and aspect ratio, we calculate the total number of pixels.

For effective resolution metrics of each Sensor Format Type:
We take the same pixel pitch measurement from the general lens effective resolution.
Then, we calculate the number of pixels that would fit on a 4:3 aspect ratio sensor of the specific Format Type.

View Other Image Quality and Computer Vision Topics

Trying to Determine Your Camera Requirements? 

Use our free web-based AoV Calculator to determine your system's Field of View Requirements. Then, use the M12 Lens calculator to match your requirements with the available lenses. Our Depth of Field Calculator also provides the hyperfocal distance and depth of field for every sensor and lens combination.

Camera Angle of View Calculator. Camera AoV Calculator.
Camera Depth of Field Calculator. DoF Calculator.

We also have a couple of other calculators that many engineers find interesting.

Lens Focal Length Calculator. EFL Calculator.
An FoV Calculator for Vision System Cameras
Lens Focal Length Calculator. EFL Calculator.
Camera Angle of View Calculator. Camera AoV Calculator.
Camera Depth of Field Calculator. DoF Calculator.
An FoV Calculator for Vision System Cameras

Find a Lens Using Our M12 Lens Calculator Or By Browsing Below

Low Distortion 1.8mm M12 Lens

CIL018-F2.8-M12IR

135° 4K+ low distortion M12 lens for IMX335 and AR0521
135° 4K+ low distortion M12 lens for IMX335 and AR0521
135° low distortion S-Mount Lens
No Distortion Wide Angle M12 Lens
$39.00

195°@4.7mm Fisheye M12 Lens

CIL216-F2.0-M12A650

Fisheye Lens for 1/2.3
Fisheye Lens for 1/2.3
M12 Fisheye Lens for 20MP cameras
195 degree S Mount Lens for AR1820HS
$59.00

188°@6.6mm IP67 M12 Fisheye

CIL222-F2.0-M12A650

Mini Fisheye S Mount Lens
Mini Fisheye S Mount Lens
Mini Fisheye M12 Lens
Miniature Fisheye M12 Lens
$39.00

Small 2.1mm M12 Lens

CIL821-F2.4-M12B650

A 2.1mm M12 Lens for 1/3
A 2.1mm M12 Lens for 1/3
Tiny Pinhole Lens for S-Mount Cameras
15mm TTL Short M12 Lens for Surveillance
$39.00

Low Distortion 2.2mm M12 Lens

CIL023-F1.8-M12IR

Low Distortion Wide Angle M12 Lens 2mm
Low Distortion Wide Angle M12 Lens 2mm
Wide Angle Low Distortion 2mm S-Mount Lens CIL023
2mm M12 Lens Low Distortion
2mm M12 Lens Wide Angle No Distortion
$39.00

Low Distortion 2.7mm M12 Lens

CIL027-F2.8-M12IR

2.7mm M12 Lens for IMX226
2.7mm M12 Lens for IMX226
A 2.7mm M12 Lens for S-Mount FLIR
Arducam IMX477 2.7mm M12 Lens
$39.00

GoPro 3.0mm M12 Lens

CIL331-F2.5-M12A660

3.1mm Wide Angle M12 Lens
3.1mm Wide Angle M12 Lens
3mm S-Mount Lens
3mm M12 Lens
$39.00

IP67+ No Distortion 3.2mm Lens

CIL034-F2.7-M12IP660

IP65 M12 Lens
IP65 M12 Lens
IP67 M12 Lens
IP67 FLIR S-Mount Lens M12 Lens
$49.00

Large Format 3.5mm M12 Lens

CIL334-F2.2-M12A660

3.5mm M12 Lens for IMX226 AR0821 IMX537
3.5mm M12 Lens for IMX226 AR0821 IMX537
S-Mount Drone Lens for Wide Angle IMX226
Wide Angle Drone Lens for IMX226
$39.00

Low Distortion 6.0mm M12 Lens

CIL060-F2.8-M12IR

A 6mm M12 lens for 4K+ sensors
A 6mm M12 lens for 4K+ sensors
A 6mm cctv lens for raspberry pi HQ
A 6mm S-Mount lens for 1/1.8
Low Distortion 6.0mm M12 Lens
$29.00

Low Distortion 6.8mm M12 Lens

CIL068-F2.5-M12A650

7mm M12 Lens
7mm M12 Lens
7mm M12 Lenses
7mm SMount Lens
$59.00

Large Format 8.0mm M12 Lens

CIL081-F1.8-M12NIR

The CommonLands CIL081-F1.8-M12NOIR is a 8mm F/1.8 S Mount M12 Lens for cameras such as the Raspberry Pi HQ Camera.
The CommonLands CIL081-F1.8-M12NOIR is a 8mm F/1.8 S Mount M12 Lens for cameras such as the Raspberry Pi HQ Camera.
An 8mm S-Mount Lens for Board Mount Cameras
The CommonLands CIL081-F1.8-M12NOIR 8mm M12 lens is pictured with the FLIR IMX226 camera.
$49.00

Telephoto 12mm M12 Lens

CIL125-F2.4-M12IR

Telephoto 12mm M12 Lens
Telephoto 12mm M12 Lens
Telephoto M12 Lens 12mm
Telephoto 12mm M12 Lens
Telephoto 12mm S-Mount Lens
$39.00

Telephoto 26mm M12 Lens

CIL260-F2.0-M12IR

25mm M12 Lens
25mm M12 Lens
25mm S Mount Lens
25mm lens for FLIR Cameras
$79.00

185°@7.8mm Fisheye M12 Lens

CIL227-F2.5-M12A660

Wide Angle Fisheye Lens for S Mount
Wide Angle Fisheye Lens for S Mount
Fisheye Wide Angle M12 Lens
Board Mount Lens Wide Angle Fisheye
$49.00
135° 4K+ low distortion M12 lens for IMX335 and AR0521
135° 4K+ low distortion M12 lens for IMX335 and AR0521
135° low distortion S-Mount Lens
No Distortion Wide Angle M12 Lens
CIL018-F2.8-M12IR
Low Distortion 1.8mm M12 Lens
$39.00
Fisheye Lens for 1/2.3
Fisheye Lens for 1/2.3
M12 Fisheye Lens for 20MP cameras
195 degree S Mount Lens for AR1820HS
CIL216-F2.0-M12A650
195°@4.7mm Fisheye M12 Lens
$59.00
Mini Fisheye S Mount Lens
Mini Fisheye S Mount Lens
Mini Fisheye M12 Lens
Miniature Fisheye M12 Lens
CIL222-F2.0-M12A650
188°@6.6mm IP67 M12 Fisheye
$39.00
A 2.1mm M12 Lens for 1/3
A 2.1mm M12 Lens for 1/3
Tiny Pinhole Lens for S-Mount Cameras
15mm TTL Short M12 Lens for Surveillance
CIL821-F2.4-M12B650
Small 2.1mm M12 Lens
$39.00
Low Distortion Wide Angle M12 Lens 2mm
Low Distortion Wide Angle M12 Lens 2mm
Wide Angle Low Distortion 2mm S-Mount Lens CIL023
2mm M12 Lens Low Distortion
2mm M12 Lens Wide Angle No Distortion
CIL023-F1.8-M12IR
Low Distortion 2.2mm M12 Lens
$39.00
2.7mm M12 Lens for IMX226
2.7mm M12 Lens for IMX226
A 2.7mm M12 Lens for S-Mount FLIR
Arducam IMX477 2.7mm M12 Lens
CIL027-F2.8-M12IR
Low Distortion 2.7mm M12 Lens
$39.00