Basic Usage

Simply,

docker run --rm -v /your/doc/folder/:/mnt mysphinx init "My Document Title Here" "John Doe"
docker run --rm -v /your/doc/folder/:/mnt mysphinx rebuild

Where, /your/doc/folder/ is root folder of your documentation in your host machine. And then open in browser or have it serve by a web server this path:

/your/doc/folder/_build/html/index.html

Edit contents and run rebuild