Hi Paul, I am the person who took the photograph in the link.
To get the sea to look almost like mist, you will need a long exposure. In this photograph I used a shutter speed of nearly 2 minutes. To be able to have such a long exposure in daytime will require an ND (neutral density) filter, which either screw on to the end of your lens, or slide into a filter holder, which also screws on to the end of your lens. I prefer the filter holder rather than a screw on filter as it is a little quicker to use, and less fiddly. I used the Lee filter kit, with a Lee 10 stop filter (Lee Big Stopper) to get the long exposure required. Your camera must be on a tripod. You will need to focus and compose your shot without the filter fitted, then take a test photograph to check for exposure. Once happy with the exposure, you will need to multiply the shutter speed you have just used to suit the filter, if you are using a 10 stop filter, you will need to multiply the shutter speed by 1024 (*see note below), then turn your lens (or camera) to manual focus (to stop your camera trying to auto-focus when you press the shutter), slide or screw your filter onto your lens (be careful not to adjust the focus ring), turn your camera's shutter speed to BULB, then using a cable release (to prevent blur from pressing the shutter) open the shutter for the required time, then close the shutter with your cable release. Check the image for exposure. That's it.
*note: 10 stops = 1024, which is basically doubling ie. 1 - 2 - 4 - 8 - 16 - 32 - 64 - 128 - 256 - 512 - 1024
Example, your test shot gives you a shutter speed of 1/8sec, you would divide 1 by 8 to give 0.125, then multiply by 1024 which would give you 128 seconds.
A couple of points worth noting, not all 10 stop filters are exactly 10 stop, my Lee for example is nearer 11. Take some test shots first.
Some filters will give a colour cast to your images, so it's worth shooting in RAW to give you maximum control over your white balance in post processing.
Calm seas will give a more smooth 'mist' effect than rough seas, which may require longer shutter speeds to create a smooth blur.
Make sure you are shooting in shutter priority or Manual to avoid your camera altering the aperture to compensate for the added darkness of the filter.
I hope this helps.
Gary.