The miniaturization effect that can be created with a tilt shift is due to manipulating the perspective (angle/distance/field of view) and spatial relationships; while simultaneously creating a shallow depth of field which is entirely contradictory.
When a lens, or your eye, is focused very close there is very little that can be in focus simultaneously. ...
What you're after is the original usage of tilt and shift -- as a technique, it's called scheimpflug and is handled by adjust the tilts and swings to control the focal plane so that the planes of intended focus, of the front standard (standing in for the iris plane of the lens) and the film all meet at a single line somewhere in space (for landscapes, where ...
Tilt-Shift lenses can isolate the plane of focus to achieve this look.
Many of today's cameras have built-in software to create the same isolated focus.
Your camera may already have this feature. Look in the manual for "miniature effect".
Here is a page from a Canon S110 camera manual: