It seems that every image format (jpeg, png, tiff, bmp, jp2000...) doesn't place their origin at the same corner.
Do you know where I could find some info about this differences?
I can only say that PNG and JPEG are different.
It comes down to history. The original interfaces for drawing stuff on the screen were for text, not images. Since the people who designed those early computers spoke languages that are read left-to-right, top-to-bottom, it made sense for the first glyph to be the top-left one. This also works conveniently with how the image was transmitted to the display. TV signals also start in the top-left, so those CRT displays also started displaying a frame with the top-left pixel. When computers added "graphics modes" to their "text modes", it made sense for the origin to stay in the same place.
This all changed with packages specifically designed for mathematical and scientific computing. Charts are usually drawn with (0,0) at the bottom-left, so scientists wanted their co-ordinate system to work that way.
This is why we have two common options. Generally for an image format, it depends on the use-case the format was originally designed to satisfy, and what kind of people worked on it. Image formats are usually designed by engineers with experience of low-level graphics implementation, so top-down is more popular, but some formats support both for flexibility.