With docker-compose 1.19 up
docker-compose up --build --force-recreate --no-deps [-d] [<service_name>..]
Without one or more service_name arguments all images will be built if missing and all containers will be recreated.
From the help menu
Options:
    -d, --detach        Detached mode: Run containers in the background,
                        print new container names. Incompatible with
                        --abort-on-container-exit.
    --no-deps           Don't start linked services.
    --force-recreate    Recreate containers even if their configuration
                        and image haven't changed.
    --build             Build images before starting containers.
Without cache
To force a rebuild to ignore cached layers, we have to first build a new image
docker-compose build --no-cache [<service_name>..]
From the help menu
Options:
    --force-rm              Always remove intermediate containers.
    -m, --memory MEM        Set memory limit for the build container.
    --no-cache              Do not use cache when building the image.
    --no-rm                 Do not remove intermediate containers after a successful build.
Then recreate the container
docker-compose up --force-recreate --no-deps [-d] [<service_name>..]