What do you call decorated cloth? I am referring to the cloth that have decoration on them meaning they don't have a smooth texture, but have decorated parts that budges out of the fabric.
Damask is a reversible figured fabric of silk, wool, linen, cotton, or synthetic fibers, with a pattern formed by weaving.
If the decoration is applied by stitching, appliqué or some other technique.
Appliqué is ornamental needlework in which pieces or patch of fabric in different shapes and patterns are sewn or stuck onto a larger piece to form a picture or pattern.