Picture element (Pixel)
The "picture element" of an image is the smallest aspect of an image, it's a rectangle shaped area of an image, when many pixels are put together we get the final result.
So what do all of the pixels create?
A digital image is made up of many pixels, the more pixels the higher quality of the image. For example if we were to have a small image it may appear high quality, then if we were to make the image larger we would see the image pixelate. This is due to the image loosing pixels in order for the image to enlarge, thus becoming more pixelated.
(See images below that demonstrate this.)
Image resolution
The image resolution is the count of pixels (height x width) the more pixels, the higher the resolution. A good example of this would be in televisions, an HDTV would have a higher definition/ resolution due to more pixels.
The image below shows the comparison between a high definition images compared to a low definition one, you can see the difference in the number of pixels effecting the quality.
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