How to create a good looking logo from a bad looking one?

[dopeandsoil1]

Hi I have just started printing onto shirts. Just wondering on how people transform really bad logos (eg. pixelated, jagged edges, small, blurry etc) to really good looking logos (eg. remove all jagged edges, enlarge, and keep all same colours/shapin etcg). Have been working at an embroidery company for the past year and they have got me onto printing. We used to use a printer who would do exactly that - transform crappy logos into great logos. I have Photoshop & illustrator cs4, as well as Corel Draw Graphics X5. I have searched the net on tips & tutorials and have come up with nothing. The closest I have gotten to achieving my goal is changing the colour to a darker green. Have had real complications keeping the text and the lines that branch out from the logo the same. If anyone could lend me a hand it would be greatly appreciated. The logo is below. Thanks in advance.

[tompaine]

Having had a look at that logo, it seems that the simplest solution is too redraw it, get the text if you can and use the pen tool in Illustrator.

[d fleming]

Exactly. Vectorize it.

[dopeandsoil1]

By re-drawing do you mean via the software or hand drawn?

[tompaine]

Just put the photo in Illustrator then trace over it with the pen tool.

[losttrail]

If you do not have the tools to vectorize it your self there are many companies who will do it in 24hrs or less for around $12..

[theMadArtist]

Nope! Best method is to have an accomplished artist re-create it; then it's flawless and can be converted to any format- and can usually be ENHANCED with subtle touches; one THAT simple I'd do for $15.