Barny gave you a good idea.
Also, these fabrics are widely reproduced these days and it would be easy to find new prints to replace the damaged areas if you desired.
You can also place an appliqued piece, as closely replicating as possible, over the bad places.
Or cover the frayed torn spots with small very thin, densely woven tulle or similar fabric, and just stitch that down. Machine quilt over it.
Jan in VA