This is a perspective that anyone can shoot, with any camera at all. All you do, is sit it on the floor, and push the button. Now my camera is a DSLR (digital single lens reflex) so my lens is close to the bottom of the camera, so if you have a point and shoot, your perspective might be slightly different but just play until you get something you really like.
You'll need your camera to be on auto focus, unless of course, you'd like to lay on the floor. Also, if you're using an slr, be sure to put your finger over the eyepiece as light can leak into sensor and make your photos very under exposed.
The resulting effect is a distinct depth of field (DOF) that's extreme and helps draw more dramatic attention to your subject.
You don't have to do this angle just on the floor or ground either.
Try sitting it on a table top, dashboard, counter, on a vertical wall or any flat surface. You can have fun and get some really cool "from the hip" perspective photos of your friends while you're out for dinner or the kids at the park while they think the camera is sitting in the grass.
So don't be scared to get your good pants dirty, get down in the grass and look at your world from a different angle