carve vs fillet

carve is not a noun while fillet is a noun.

Word	Noun	Adjective	Verb	Adverb
carve	No	No	Yes	No
fillet	Yes	No	Yes	No

As verbs, fillet is a hyponym of carve; that is, fillet is a word with a more specific, narrower meaning than carve:

Other hyponyms of carve include shave, filet.

carve (noun)	fillet (noun)
	a narrow headband or strip of ribbon worn as a headband
	fastener consisting of a narrow strip of welded metal used to join steel members
	lace having a square mesh
	a bundle of sensory nerve fibers going to the thalamus
	a boneless steak cut from the tenderloin of beef
	a longitudinal slice or boned side of a fish

carve (verb)	fillet (verb)
cut to pieces	cut into filets
form by carving	decorate with a lace of geometric designs
engrave or cut by chipping away at a surface