Virgin Voyages, Richard Branson's new cruise line, has unveiled plans for its first of three ships.

This one, which will set sail from Miami to the Caribbean in 2020, is an adult-only ship that's designed to attract people who have never been on a cruise before.

Cruising is the fastest-growing segment of the vacation industry, according to the Cruise Line Association. In 2018, 27.2 million passengers are expected to take a cruise, compared with 25.8 million last year, the group said. However, since only 3 percent of people in North America have been on a cruise, there is a lot of room for growth.

All told, Virgin plans to invest $2.5 billion in building the three ships.

The first features a futuristic lounge, private VIP deck, laboratory-themed restaurant and a rooftop terrace that claims to have the largest daybed at sea.

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Virgin Voyages' New Cruise Ships | CNBC