From Rmagick
guide:
Converting an image to another format
Converting an image to another format is as simple as writing the image to a file.
# assuming you have an image
# img = Magick::Image.new( 100, 100 )
img = Magick::Image.from_blob( img.to_blob { self.format = "png" } )
Source: RMagick Docs
Here's an example on how to give it to the user
image.format = "png"
send_data image.to_blob,
:filename => "woohoo.png",
:disposition => 'inline',
:quality => 90,
:type => 'image/png'