I know TIFF and BMP do and PNG doesn't. I'm planning to use this file format to store images that in turn will display on a web page via normal directly. I don't plan to alter them with filters on the client side.
What will work for this scenario?
https://en.wikipedia.org/wiki/Group_4_compression This link says that there are many standard and proprietary image formats that support storing these kind of images but doesn't say which exactly.