How Does Angular Resolution Differ from Other Types of Resolution?

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Discussion Overview

The discussion centers on the concept of angular resolution and its differentiation from other types of resolution in imaging systems. Participants explore definitions, comparisons, and the implications of various resolution measures in the context of optical and imaging devices.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant cites the Wikipedia definition of angular resolution, questioning its distinction from general resolution and seeking clarification on different types of resolution.
  • Another participant suggests that angular resolution is simply resolution measured in angle units, contrasting it with linear measures like dots per inch.
  • It is noted that angular resolution can be converted to pixel resolution if the angular resolution and pixel size are known.
  • A participant explains that imaging systems are often analyzed in terms of angles from the optical axis, especially for distant objects, and mentions various measures of resolution such as Rayleigh, Sparrow, and Dawes, emphasizing the ability to distinguish closely spaced objects.
  • Further elaboration on the historical context of the term 'resolution' is provided, discussing the Rayleigh Criterion and its assumptions regarding the detectability of brightness dips between two images, along with the influence of Signal to Noise Ratio on resolution capabilities.

Areas of Agreement / Disagreement

Participants express differing views on the definition and implications of angular resolution compared to other types of resolution. There is no consensus on how to categorize or differentiate these types of resolution, indicating ongoing debate.

Contextual Notes

Participants mention various criteria and measures of resolution without fully resolving the complexities involved in their definitions and applications. The discussion reflects a range of assumptions and conditions related to the effectiveness of resolution in different contexts.

21joanna12
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The Wikipedia definition of angular resolution is 'Angular resolution, or spatial resolution, describes the ability of any image-forming device such as an optical or radio telescope, a microscope, a camera, or an eye, to distinguish small details of an object, thereby making it a major determinant of image resolution.'

I get this definition, however it seems to me like the definition of plain 'resolution'. Are there more different types of resolution? And if so, how do they differ?

Thank you in advance :)
 
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Methinks you are reading too much into it, and it means exactly what it sounds like. It's resolution measured in angle units, as opposed to resolution measured in some linear measure like dots per inch.
 
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Yes, you can turn angular resolution into, say, resolution in pixels, fairly easily if you know the angular resolution of the imaging system and the size of the pixels on the imaging sensor.
 
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21joanna12 said:
<snip> Are there more different types of resolution? And if so, how do they differ?

Analysis of imaging systems is often simplified by describing the system in terms of angles from the optical axis rather than distance form the optical axis, especially when the objects are very far away. Converting from angles to linear distances at the image plane is generally straightforward.

There are multiple measures of 'resolution' (e.g. Rayleigh, Sparrow, Dawes...), but the essential concept is the ability to distinguish 2 closely spaced objects.

http://www.google.com/url?sa=t&rct=...KpA6KlgKnxyHYIw&bvm=bv.83640239,d.aWw&cad=rja
 
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Andy Resnick said:
the essential concept is the ability to distinguish 2 closely spaced objects

When the term 'resolution' was first used, it referred to optical systems using the eye as the receptor. The Rayleigh Criterion was a fairly arbitrary criterion and assumed that two angularly small objects (stars etc) could be said to be resolvable if the dip in brightness between the two images went to half. That assumed that the brightness of the images (signal level) was enough to be able to detect that 'dip'. In practice, it's down to Signal to Noise Ratio, whether you can see the dip or not. With modern sensors and signal processing, the noise can be reduced by filtering and you can detect a much shallower 'dip' allowing you to resolve much better than the Rayleigh Criterion would suggest.
 

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