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There are probably quite a few matrix libraries for lua, but here are two options that jump out at me.

http://numlua.luaforge.net/ a library for maths stuff in lua
http://tng.tuxfamily.org/index.php?title=Main_Page a project which uses lua and some bindings to Eigen to provide scientific math stuff, perhaps the bindings can be used separately?

As far as SVG manipulation goes, there's an old thread on the mailing list.
http://lua-users.org/lists/lua-l/2010-08/msg00197.html

Good luck on your adventure!

On Thu, Nov 25, 2010 at 3:14 AM, kevin beckford <chiggsy@lazyweb.ca> wrote:
I need to implement text warp, or placing text across a path.  It has
occurred to me that this might be easier and faster to do in Lua.
Where would I get started on searching for manipulation of SVG's and
matrix math, for Lua?

--
Kevin Beckford
Internet Conversationalist