Use of platform is better as it will send the sensation via your feet and furniture creating a very noticeable impact.
However you do not indicate the possibe dimesions of platform in your post. This will give me a better idea of how thin you can go. In anycase assuming that 2" - 3" is acceptable to you then you can use a series of 2x4's on their sides for the perimeter and center etc. of your say 4'x8' plywood platform and attach the feet on the plywood not the 2x4's to save space (you may have to add an additional piece of plywood between the feet and the platform plywood to get the feet to stick out beyound the 2x4's). Also do not forget to glue and screw when building the platform.
However you do not indicate the possibe dimesions of platform in your post. This will give me a better idea of how thin you can go. In anycase assuming that 2" - 3" is acceptable to you then you can use a series of 2x4's on their sides for the perimeter and center etc. of your say 4'x8' plywood platform and attach the feet on the plywood not the 2x4's to save space (you may have to add an additional piece of plywood between the feet and the platform plywood to get the feet to stick out beyound the 2x4's). Also do not forget to glue and screw when building the platform.