In comp.graphics.algorithms Hecate said:
All images have physical dimensions.
Not all --- not in the usual meaning of a "physical" dimension.
On a computer they're expressed as pixels.
A pixel is *not* a physical dimension. It's a purely abstract one.
The physical size of an actual pixel is a design parameter of a
computer's display. It differs from machine to machine.
On a print the resolution is expressed as dpi. The dpi is completely
immaterial as far as an image on a computer is concerned.
Not quite. It can be material or not, depending on where the image
currently is. While it's being displayed on the screen, the DPI
resolution of that screen becomes the DPI of the image displayed. If
the image is not visible, it is can be immaterial whether it has an
associated DPI value or not --- but if it does have one, that means
that on displaying it on a physical medium, you have a choice to make:
whether to match pixel counts, or physical size of the image.
E.g. a 600x600 pixel input scanned at 300 DPI is, physically, 2 inches
squared. But a computer's monitor has a lot less than 300 DPI ---
let's say it's 100. So how to display the image: at 600x600 pixels,
which would make it 6 x 6 inches, or at 2x2 inches, downsampling it to
200x200 pixels in the process?
And then there's images that never corresponded to a particular
physical size anyone's interested in --- most prominently, digital
camera shots. The image sensor in a digicam does, of course, have a
physical size, and as such, the image acquired by it has a DPI value
--- but because it's a projected 2D image of 3D real-world objects,
the DPI value of the sensor is quite irrelevant. What you need to
know in this case is the absolute pixel count, i.e. the number of
pixels in the image. The DPI setting is interesting for the people
designing the camera, though --- it governs effects like
susceptibility to electronic noise vs. optical signal strength, and
indirectly, through the physical sensor size, decides how hard the job
is for the optical engineers to make lenses for that camera.