This is a format created in the Acorn Draw program, intended for image visualization by using vector lines. It’s used for storing information in the publishing business (brochures, logotypes, etc.). The main advantage is it’s high quality source images when printing. It’s been in use since 1980.
CUR is a file - the image of the cursor, sometimes animated, which is used for the mouse pointer in Windows. This may be an arrow (for general use), rotating hourglass (wait), or the symbol I (editing). Users can change or edit the standard cursors. To view and edit files .CUR suitable programs such as Inkscape, Corel VideoStudio.