Single-Serving Photo

Resolution Is a Myth: Calculating DPI

Posted by Aaron on July 6th, 2007

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Many people ask me, “What’s the best resolution?” Not only is the most important part of that question missing (best resolution for what?) but it’s marinaded in thick and juicy misconceptions about what resolution really means.

Resolution is a myth.

The word “resolution” itself refers to the clarity of an image; to the detail visible in it. Technologically speaking, clarity is measured by counting the number of distinct image components present within a physical area. That doesn’t sound mythological, I know, it sounds pretty concrete. Let me tell you why this is an elusive term.

Fundamentally, resolution is a lot like “speed.” If your friend asked you What’s the best speed for my car? you would probably laugh at them. Your car can go many speeds, you might reply. Where do you need to go and why? It’s important to know where you’re going before you decide how fast you should go. Although there are guidelines for how fast you probably should go in most places and situations, you can’t answer the question without more information. The same is true for resolution.

Before I start explaining things, let me talk about units of measurement. We’ve all heard of and probably used the DPI unit when talking about resolution. DPI means dots per inch (see how it’s sort of like miles per hour?). As I mentioned at the beginning, you have some distinct image components in there (the “dots”) and they are within a physical area (“per inch”). I will use DPI to measure resolution throughout this article because it’s familiar and ubiquitous.

Digital images are automatically made up of dots that we call “pixels.” Somewhere in between the image sensor of your camera and the RAW or JPEG file on your computer, software (probably in your camera) divided the image up into a uniform grid of pixels. So what’s the resolution of a digital image? It doesn’t have one.

In order for something to have a concrete resolution, it needs a physical area. Digital images floating around in the ether don’t have physical area, they only have dots, so they have no resolution. Before you explode and tell me I’m a buffoon, let me explain.

Fundamentally, resolution is a way to understand how the number of dots available in your image will appear in any physical scenario, most importantly in print. It is not correct to think that an image has an inherent resolution, just like your friend’s car doesn’t have an inherent speed.

Photoshop gives you a place to set the resolution in the Image Size dialog. As long as you don’t tell Photoshop to “resample” the image, changing the resolution number there won’t change your image in the slightest; it simply annotates the file as if to say “please display measurements with the assumption that this many dots are in each inch.”

By the way, it’s usually not a good idea to use the “resample” option unless you’re decreasing the resolution.

Totally Confused?

Resolution is not easy to explain or to understand without experience, so I’m going to give you a hypothetical scenario. Watch out, there will be some light arithmetic!

As shown in the figure above, let’s assume we have an image that is exactly ten pixels by ten pixels (this makes math easier). The only thing that “resolution” really tells us is the physical size of this image in different scenarios.

When you set the resolution in Photoshop’s Image Size dialog, you’re telling it to map pixel dimensions to physical dimensions in a certain way (you math whiz kids might know it as a ratio). Because the default unit is DPI, you’re mapping pixel dimensions to physical dimensions measured in inches.

For example, at one (1) DPI there is one dot per inch, so our ten pixel square image takes up a space ten inches on each side. One pixel (or dot) per inch. At two (2) DPI, it would be five inches on each side. Divide the pixel dimension by the resolution in DPI to find the dimension in inches. Ten divided by two equals five. (That’s pretty light arithmetic, right?)

So What? Applying the Theory

How does this knowledge help us to make clear, crisp prints from our images?

To begin, you need to know what the “optimal” print resolution is for your situation. With inkjet technology, the optimal output resolution might be given in your printer’s manual. A good rule of thumb (in my experience) is to send images between 150 and 300 DPI to the printer. With other technologies, such as “lightjet,” resolution requirements may differ.

The resolution required to achieve your desired clarity decreases as the physical size of the print (and therefore the proper viewing distance) increases. If you stood with your face right up to a billboard print, you could probably count the dots; prints designed to be viewed at billboard distances do not require the same resolution as prints designed to be viewed from a few feet away. This has to do with the human eye and its ability to discern detail at varying distances.

The best practice method of readying your image for print is to adjust the print dimensions without letting Photoshop perform resampling. You do this in the Image Size dialog by disabling the “Resample Image” option and changing the values within the “Document Size” area. You will notice that if you make the width or height larger, the resolution will decrease, and vice versa.

The goal is to get the width and height close to what you want the output size to be (on paper) while keeping the resolution somewhere in the “safe zone” for sharpness (for me, somewhere between 150 and 300 or higher).

Conclusions

Hopefully this has given you a better idea of what resolution really is and why it’s fallacious to think that a digital image has any inherent resolution. With practice, it becomes easier to recognize the instances when resampling of the image is appropriate and how it affects your printed output.

Feel free to ask questions or leave comments below.


13 Responses to “Resolution Is a Myth: Calculating DPI”

  1. 2 years ago, Christopher Scholl said:

    Great article. I love the miles-per-hour analogy – I’ve never heard it put so well!

    These days, I print mostly from Lightroom rather than Photoshop. And your article made me wonder, does Lightroom perform resampling? Or is it disabled by default? I suspect the latter but it would be nice to know for certain.

  2. 2 years ago, Aaron said:

    Thanks, Chris! I haven’t confirmed this personally, but one of the published features of Lightroom 1.1 is the ability to turn resampling on and off within the Print module, so that may answer your question.

    The minimal amount of printing I have done from Lightroom has always produced very nice results so I try not to worry about it too much.

  3. 2 years ago, Andrew Ferguson said:

    Agreed, the miles-per-hour analogy is perfect for explaining DPI.

    Wish I had this article years ago, when I was first learning about printing and resolution. Thanks Aaron! :)

  4. 2 years ago, Aaron said:

    My pleasure, Andrew, thanks for coming by.

  5. 2 years ago, photographyVoter.com said:

    Resolution Is a Myth: Calculating DPI

    Resolution can be hard to understand at first, and even experienced photographers can have trouble with it. BUT NOT FOR LONG!…

  6. 2 years ago, Susheel said:

    Interesting article. Your explanation of resolution is very clear. I’m sure I’ll be refering people to this page before long…

    Cheers!

  7. 2 years ago, Aaron said:

    Thanks, Susheel!

  8. 2 years ago, F/1.0 » Blog Archive » Resolution and DPI explained said:

    […] In this article, Aaron Bieber, of Single Serving Photo does a great job at breaking down the myths and misunderstandings of digital image resolution.  A great read!Single Serving Photo – Resolution is a myth […]

  9. 2 years ago, sucellus said:

    Your point of view regarding resolution makes a lot of sense when you are considering what dpi to send to a printer, but only as long as your source image is larger than the resolution of the printer.

    Lets disregard poor photography, thus assuming an equal level of photographic data as a ratio of the number of pixels contained in the image. Yes you can upscale an image to a larger relative “resolution”, but you aren’t gaining any additional source data and are thus not increasing the actual resolution of the image.

    A source image with a certain resolution can be used in certain printing applications based on the final resolution desired in the print. Economies of scale do come into play as your viewing distance increases, but when discussing home printing, the difference in viewing distance between an 8×10 and and a 16×20 is not necessarily any different. If the printer can print either of these two sizes at 300 dpi max and your source image is only 8×10×300, you aren’t going to be able to utilize the full printing resolution for the 16×20 print, producing a less defined image at the same viewing distance.

    The point that I’m trying to get at is digital images do have an inherent resolution, and it relates to the source data. Just because you can scale a digital image to other resolutions doesn’t mean that the amount of data contained is not still directly related to the source resolution.

  10. 2 years ago, Aaron said:

    @sucellus

    Thanks for your reply. You raise interesting points, but I maintain that images don’t have an inherent resolution. What they do have is an inherent pixel dimension, or if you want to state it very simply, pixel count. As soon as that pixel count is applied to a measured area in physical space, it implies a resolution, but that resolution will vary based on the dimensions of the area.

    In other words, you can’t take an image off of your memory card, look at it in some program, and say “this is a 182.3 DPI image,” because there are no inches involved yet. You can tell Photoshop that you wish for it to be displayed at 182.3 DPI and it will alter its rulers to demonstrate how big it will be on paper, but that is all theory; it’s all math.

    You’re absolutely right that an image that measures 8×10 inches at 300 DPI, assuming your printer’s maximum resolution is 300 DPI, can’t be printed at 16×20 with full detail, but you may achieve enough detail to satisfy your needs. That’s a judgment call as far as I’m concerned; I have worked with banner printers who state 150 DPI as their absolute maximum and standing in front of it you’d never know. It depends on the application and on the artist’s needs.

  11. 2 years ago, sucellus said:

    True, though I guess I would argue that what you are calling pixel count IS the image’s resolution, and DPI is just a physical expression of that. You are looking at the idea of digital images from the physical world perspective and I’m looking at it from the virtual (digital) perspective.

    Semantics! :-)

  12. 2 years ago, Aaron said:

    My contention is that the semantics of pixel count and resolution is the source of confusion among the uninitiated. Once you start working on print production, one’s idea of what resolution means can become a big stumbling block. Using the word “resolution” to refer to the number of pixels present in a digital file (as it often is) can be very misleading when it actually describes a ratio that exists only in physical space.

    Thanks for commenting; I like having many points of view represented!

  13. A year ago, Joel said:

    Very helpfull article!
    thanks!

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