A "bandelet" is a type of image compression technique in computer science. Think of it this way - have you ever played with a spring toy? When you squeeze it, it gets smaller, and when you let go, it expands back out. This is kind of like what a bandelet does to an image.
Basically, an image is made up of a bunch of tiny little squares called pixels. A bandelet takes those pixels and groups them into little sections, like rooms in a house. Each of these little rooms can be compressed separately, like squishing a spring toy. Then, when it's time to view the image again, the rooms can be expanded back out, like releasing the spring toy.
This technique can be really helpful for saving space on your computer, since compressed images take up less room. It can also help images load faster online.