Is there any possibility to export model as an image? with transparent background or without.
Maybe with the render function? (Menu to the right)
Like SuperNoctiz said use the render function. It's the tab next to Info/View. You can uncheck / modify any options - including unchecking Background to export an image with a transparent background.
If you just need a perpendicular view of the matrix you can also use Modify > Other > Linear Snapshot
If you want to export individual slices there's no option for this yet. But it's a planned feature