A fiber artist can use images of texture as sources of inspiration. You can learn to look at your texture image and contemplate the various fiber techniques you know to determine which would best create the look and feel of the image.
I find it helps to squint a little as you look at the texture source. Ask yourself
What it is that you see first?..
What are the most important elements?..
Is there depth?..
Then, determine what fiber will work best, what sewing or knitting technique (or other).
Below are some texture images taken in India, and some translation ideas.
Here you see a scarf with metal discs sewn on. This one could easily be achieved by adding embellishments to the surface of a fabric (knit or woven). The embellishments could be buttons, beads, discs, or any other item you can sew on.
The roses could be translated by stitching a length of trim or fabric in a scrolling manner on the surface of fabric. Knitters could create I-cord for such purpose.
The carving here is a bit more of a challenge to translate. Consider embroidery. Possibly layer a patterned sheer fabric over a solid one. Knitters could employ lace knitting.
The photo here shows three textured windows in a flat wall. This could be translated by adding lace (whether fabric or knit) to a flat background.