You're not doing it on account of the dead, thus: I see no wrong in it.
It is important to distinguish between what is "wrong" or sinful, and what is a path to holiness. As Christians, we do not follow Christ as a rulegiver, one who set out a series of "Thou Shalt Nots". Our Father has, from the beginning commanded us primarily to love him and one another. The rest flows from that.
So when considering such cultural behaviors as tatoos, piercings, language, modesty, and the like, let us not merely seek to avoid what is wrong, let us seek that which is good, right, and holy.
Further, we must also look not merely at the actions themselves, but the atttiudes they indicate. You will notice that none of the Seven Deadly sins are actions per se; they are attitudes. Lust, Envy, Greed, Gluttony, Anger, Pride, and Sloth. So it is clear from this, and directly from Scripture, that God is primarily concerned with the disposition of the heart, not the decoration of the body or words we say.
What kind of attitude are we showing when we pierce our body? When we permanently alter it for the sake of its appearance? When we wear clothes that show off our bodies? When we say words that, in our culture, invoke images or feelings of anger, pride, or lust? Are these things that bring us closer to the Lord, or do they draw us away?
I am inclined, though I generally do not take pains to proclaim it from the rooftops, to believe that piercings and tatoos, in our culture, are generally disrespectful of the body God has given us. Why do we feel the need to enhance what God has already made for us? How can we improve the beauty and appearance of that which is created by God? (Thinking of this, we do it all the time in gardens...) Why are we not content with maximizing the body he has given us by taking good care of it, that we feel we must make permanent changes to it?
I also tend to think it's very unwise to permanently change one's body. When one's body changes, the tatoos will look very different. When one changes one's perspective on life (and at age 31, relatively young, I know mine has changed greatly in my life), the old tatoos won't mean what they once did.
But, then, probably due to all of the above, I find tatoos and piercings very unattractive. I try very hard to understand where someone is coming from when they disagree with me, but I truly do not understand why someone would want one. That doesn't mean there isn't a really great reason, just that I am too limited to think of one.