All of the following pictures demonstrate a "cap" over the existing concrete. Usually we cap existing patios from the
front/rear door and make the new patio larger.
The "difference" between a cap and an overlay is simply the depth of the
material.  An overlay is required when the tolerances between the entry and patio is too small for a cap.
After the cap with ashler slate pattern
We capped the existing and added three levels
Before the cap was applied
After the cap and extension in a fan pattern
Before the cap and extension
We capped the existing and added three levels
Patio "AFTER"  Small Flagstone Stamp. We placed concrete right over the
existing brick, applied color, release, stamp, and sealed it with 30% solid
Patio prior to Small Flagstone Stamp. We placed concrete right over the
existing brick, applied color, release, stamp, and sealed it with 30% solid
Walk after the Random Stone Stamp and changing the overall shape
Walk before the Random Stone Cap
A good example of a serpentine patio edge after capping the existing.
The area right in front of the door was where the existing patio was
capped. it was a 10' x 10' but is now a 15' by 43'
THIS IS A FAN STAMP CAP OVER THE EXISTING WITH AN ADDITION TO THE PATIO
This patio was a cap over an existing patio and steps
we capped this over the existing patio and added a roofed
pergola and brick columns