What’s the word to describe that I ——— your artwork?

Question

When I see a famous writer, I will say, “Hi, I read your book” (or “have read”?).
When I see a movie star, I will say, “Hey, I watched your movie" (or “have watched”?).
So, when I see a artist, what’s the word in: “Hi, I ——— your artwork”?
(Maybe it’s a photo, or a painting or a sculpture.)

Answer 1

You can say

I viewed your photo/painting/sculpture.

Answer 2

Ordinarily, one would say "I saw your painting". If the piece were more of an installation or somehow involved an element of performance art, one might be better saying "I experienced your work". Can you provide some more context about what you are trying to communicate? Do you just want to get across that you have some familiarity with the artist's work, or are you trying to initiate a deeper interaction? If the latter, you probably want to talk more about your evaluation of the work, or about your subjective experience of the work.

Answer 3

You could say:

I appreciate your painting/photographs/sculpture.

or

I appreciated your painting/photographs/sculpture.

However, the latter might be construed to meant that you did something to cause its value to increase.

Answer 4

If you have done more than just viewed or glanced at someone's artwork, you could say, "I have studied your painting."

In this sense, study means: to examine closely; scrutinize; to give careful thought to; contemplate.

Answer 5

If you're wanting to convey something more positive than "have seen", you might try:

I was very impressed with your artwork.

(This works especially well if the artist happens to be an impressionist painter who appreciates puns.)

You could also try:

I very much enjoyed your artwork.

That has more of the "savoring" connotation that you mentioned in your comment.

One more possibility:

I have admired your artwork.

According to NOAD, admire can mean to regard something "with respect or warm approval", or to "look at with pleasure".